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1

DEPARTMENT OF PHYSICS

PG COURSE PATTERN (2014 – 2017)

SEM CODE SUBJECT TITLE HOURS CREDITS

I

14PPH1C01 Electrodynamics and Plasma Physics 6 5

14PPH1C02 Mathematical Physics – I 6 6

14PPH1C03 Thermodynamics and Statistical Physics 6 5

14PPH1E1A/

14PPH1E1B Advanced Electronics / Applied Physics 6 5

14PPH1P01 Practical - I 6 4

Total for Semester I 30 25

II

14PPH2C04 Classical and Non-linear Dynamics 6 5

14PPH2C05 Solid State Physics - I 6 5

14PPH2C06 Mathematical Physics - II 6 6

14PPH2E2A/

14PPH2E2B

Molecular Spectroscopy and Laser / Biomedical

Instrumentation 6 5

14PPH2P02 Practical - II 6 4

Total for Semester II 30 25

III

14PPH3C07 Quantum Mechanics - I 6 5

14PPH3C08 Solid State Physics - II 6 6

14PPH3C09 Research Methodology 6 5

14PPH3E3A/

14PPH3E3B

Nuclear and Particle Physics / Crystal Growth and

Thin film Characterization 6 5

14PPH3P03 Practical - III 6 4

Total for Semester III 30 25

IV

14PPH4C10 Quantum Mechanics - II 6 4

14PPH4C11 Microprocessor and Microcontroller 6 4

14PPH4C12 Numerical Methods and MATLAB 6 4

14PPH4R01 Project 12 3

Total for Semester IV 30 15

Total for all Semesters 120 90

2

PG – INTERNAL QUESTION PATTERN

Time: 2 hrs Marks: 60

Section– A (4 x 4 = 16)

Answer any 4 questions out of 5

Section – B (2 x 10 = 20)

Answer any 2 questions (either-or type)

Section – C (2 x 12 = 24)

Answer any 2 questions out of 3

(Marks obtained will be converted to 30)

PG – EXTERNAL QUESTION PATTERN

Time: 3 hrs Marks: 60

Section – A (6 x 3 = 18)

Answer 6 questions out of 10 (2 questions from each unit)

Section – B (3 x 6 = 18)

Answer 3 questions out of 5 (1 question from each unit)

Section – C (3 x 8 = 24)

Answer 3 questions out of 5 (1 question from each unit)

3

TESTING AND EVALUATION (PG)

Evaluation of students is based on both Continuous Internal Assessment (CIA) and the Semester

Examination (SE) held at the end of each Semester. The distribution of marks is indicated below

Course Continuous Internal

Assessment

Semester

Examination

Theory 40% 60%

Practical 50% 50%

Project 50% 50%

CONTINUOUS INTERNAL ASSESSMENT (THEORY)

Continuous Assessment will be carried out by the course teachers. The components of CIA are as

follows:

Components Marks

Test - I 30

Test - II 30

Seminar 10

Term Paper 05

Attendance 05

Total 80

The total internal marks obtained for 80 will be converted into marks obtained for 40.

PROJECT WORK

The ratio of marks for Internal and External Examination is 50:50. The Internal Components of Project

Work is

Components Marks

First Review 10

Second Review 10

Final Review (Internal Viva Voce) 30

Total 50

EXTERNAL VALUATION OF PROJECT WORK

Components Marks

External Viva Voce

Internal Examiner 25

External Examiner 25

Total 50

The Internal and External Question Paper pattern is left to the discretion of the Department concerned

for all other papers.

4

ELECTRODYNAMICS & PLASMA PHYSICS

Semester: I Hours : 6

Code : 14PPH1C01 Credits: 5

OBJECTIVES:

1. To understand and analyze electromagnetic field problems in various transmission.

2. To introduce to the basic concepts of Plasma Physics.

UNIT I: BASICS OF ELECTROMAGNETISM: (18 hrs)

Poison’s law-The equations of Poison’s and Laplace –conductors- Potential energy- charge distribution-

Conservation of electric charge – electric charge- Biot savart law – vector potential –Ampere’s circuital

law.

MAXWELL’S EQUATIONS:

The potentials V and A – Lorenz condition – the divergence of E and the non –homogeneous wave

equation for V and A – the curl of B – Maxwell’s equations- Duality – Lorentz Lemma – The

nonohomogeneous equations for E and B – propagation of EMwaves in free space, non-conducting

and conducting medium – good conductors.

UNIT II: PROPAGATION OF EM WAVES: (18 hrs)

Propagation of plane EM waves in low pressure ionized medium –the Laws of Reflection and Snell’s

Law of Refraction – Fresnel’s equations – Reflection and Refraction at the Interface between two

nonmagnetic nonconductors – Total Reflection at an Interface between two nonconductors – Reflection

and Refraction at the surface of a Good conductor - Propagation through different interfaces –

propagation through Coaxial line -through rectangular wave guides.

UNIT III: RADIATION OF EM WAVES: (18 hrs)

Retarded potentials -Oscillating electric dipole – magnetic dipole and quadrapole fields radiation – half

wave antenna –point charge radiation - relativistic electrodynamics – Reciprocity theorem .

UNIT IV: INTRODUCTORY PLASMA PHYSICS: (18 hrs)

Basic concepts of plasma, concepts of temperature – Debye shielding – the plasma parameter – criteria

for plasmas applications in plasma.

UNIT V: APPLICATIONS: (18 hrs)

Motion of charged particle in electromagnetic fields – E and B uniform and non-uniform fields, time

varying fields – Adiabatic invariants.

BOOKS FOR STUDY:

Electromagnetic Fields & Waves- Dale Corson & Paul Lorrain & CBS Publishers, New Delhi. II, 1998

UNIT I:

Chapter2: - Secs: 2.6, 2.7, 2.8,2.14

Chapter 7: Secs:7.2,7.7

Chapter 10:-Secs: 10.1, 10.3 - 10.10 (all sections),

Chapter 11: - Secs :11.1 – 11.5.

5

UNIT II:

Chapter Secs11: 11.6,

Chapter Secs 12 : 12. 1 – 12.5 ,

Chapter Secs 13 :13.2, 13.3

UNIT III:

Chapter Secs: 10.2, 10.2.1,

Chapter Secs: 14.2 -14.2.1, 14.2.2, 14.2.3, 14.5.14.6. 14.8

UNIT IV :

Elements of Plasma Physics by S.N. Goswami.

Chapter Sections1: 1.1 -1.8,

Chapter Secs 4 :4.5,

Chapter Secs 3 :3.7, 3.2,

Chapter Secs7 : 7.1, 7.2

UNIT V :

Elements of Plasma Physics by S.N. Goswami.

Chapter Sections2: 2.1 - 2.3 - 2.3.1 -2.3.3, 2.6, 2.1

Elements of Plasma Physics - S.N. Goswami, New Central , Book agency (P) Ltd., Calcutta-1995

BOOKS FOR REFERENCE:

1. Introduction to Plasma Physics controlled Fusion (Volume I) & Francis & F. Chen. New York,

Plenum Press II, 1995

2. Electrodynamics, David Griffiths, Pearson education, III, 1998

6

MATHEMATICAL PHYSICS-I



OBJECTIVE:

To give basic idea of mathematical physics and to get a knowledge about Vector, Tensor,Matrix and

complex analysis.

UNIT I: VECTOR ANALYSIS (18 hrs)

Differential Vector Operators- Special Coordinate systems- Circular Cylinder Coordinates- Spherical

Polar Coordinates.

UNIT II: COMPLEX ANALYSIS (18 hrs)

Complex Algebra-Cauchy-Riemann conditions-Cauchy’s Integral Theorem – Cauchy’s Integral

Formula- Laurent Expansion-Singularities- Calculus of radius.

UNIT III: MATRIX THEORY (18 hrs)

Determination of eigen values- Eigen vectors and their properties- Diagonalization of a matrix- Eigen

vectors of commuting matrices-Differential equations to eigen values problem- Cayley-Hamilton

theorem- Minimal polynomial-Condition for diagonizability- Diagonalization of normal matrices-

Matrix polynomials.

UNIT IV: TENSORS (18 hrs)

Occurrence of tensors in physics- notation and conventions- Contravarient Vectors- Covariant Vectors-

Tensors of Second rank-Equality and null tensor- Addition and Subtraction- Outer product of tensors-

Inner product of tensors- Contraction of a tensor- Symmetric and anti-symmetric tensors- The

Kronecker delta- The metric tensor- Contravarient metric tensor- Associate tensor.

UNIT V: SPECIAL FUNCTIONS (18 hrs)

Bessel Function- Bessel function of the first kind- Orthogonality- Modified Bessel Function and

spherical Bessel functions.

BOOKS FOR STUDY

1. Mathematical methods For physicists- Arfken & Weber, Elsevier a division of Reed Elsevier India,

Private Limited, VI, 2004.

DETAILED REFERENCES:

UNIT I

Chapter: 2, 2.2-2.5

UNIT II

Chapter:6, 6.1-6.6

Chapter: 7.1

Matrices and in physics, A.W. Joshi, New age international publishers Revised III Edition, 2002

UNIT III

Chapter: 9, 9.1-9.4.

Chapter: 10 (all sections)

UNIT IV

Chapter: 15.1, 15.2, 15.3, 15.4, 15.5.

Chapter: 16.1- 16.7, 18.1- 18.3

UNIT V

Chapter: 11, 11.1,11.2, 11.5, 11.7.

7

THERMODYNAMICS AND STASTICAL PHYSICS



OBJECTIVES:

1. To understand the laws and basic concepts of thermodynamics

2. To learn and compare the theories of classical and quantum statistics

UNIT I: FUNDAMENTAL LAWS (18 hrs)

Laws of thermodynamics – thermodynamic potentials and reciprocity relations – thermodynamic

equilibrium – Nernst’s heat theorem – Chemical potential.Identical particles and symmetry

requirements – Bose-Einstein Statistics – Fermi-Dirac Statistics – Maxwell-Boltzmann Statistics –

Evaluation of the constants α and β – Results of three statistics .

UNIT II: METHOD OF ENSEMBLES (18 hrs)

Microcanonical ensemble – Perfect gas in microcanonical ensemble – Gibbs paradox - Partition

function an its correlation with thermodynamic quantities – Gibbs canonical ensemble –

Thermodynamic functions for canonical ensemble – Partition function and their properties – Perfect

monatomic gas in canonical ensemble – Grand canonical ensemble – Partition function and

thermodynamic functions for grand canonical ensemble – Perfect gas in grand canonical ensemble -

Comparison of ensembles.

UNIT III: PHASE TRANSITION (18 hrs)

Phase transition – Phase transitions of first and second kind - Critical exponent – Yang and Lee theory

– The Ising model – Bragg-Williams approximation – One dimensionalIsing model.Energy and

Pressure of the gas – Gas degeneracy – Bose Einstein Condensation – Thermal properties of Bose

Einstein gas – Liquid Helium.

UNIT IV: TRANSPORT THEORY (18 hrs)

Transport processes – functions – Boltzmann equation in the absence of collision and with collision –

Path integral formulation – Applications: Calculation of electrical conductivity and conductivity of

electrons in metals – Calculation of viscosity.

UNIT V: IRREVERSIBLE PROCESSES AND FLUCTUATIONS (18 hrs)

Brownian motion – Lagrangian equation – Calculation of mean square displacement – Correlation

functions and friction constant – Fokker Plank equation – Solution of Fokker Plank equation –

Ensemble and Time averages – Wiener-Khintchine relations – Nyquist’s theorem.

BOOKS FOR STUDY:

1. Statistical Mechanics, S. L. Gupta & V. Kumar, Pragati Prakashan, Meerut, 2004

UNIT – I. Chapter –A, A-1 to A-7; Chapter – 6, 6.1 to 6.5

UNIT– II. Chapter – 3, 3.0, 3.0-2 to 3.0-4; 3.1, 3.1-3 to 3.1-5; 3.2, 3.2-1 to 3.2-3

UNIT– III. Chapter – 8, 8.0 to 8.4; Chapter – 13, 13.1 to 13.7

2. Fundamentals of Statistical & Thermal Physics, Fredrick Reif, Tata Mcgraw Hill New Delhi, 1988

UNIT– IV. Chapter – 13, 13.1 to 13.5

UNIT – V. Chapter – 15, 15.5 to 15.8, 15.11 to 15.16


1. Thermodynamics & Statistical Physics, A.K.Saxena, Narosa Publishing house, New Delhi

8

ADVANCED ELECTRONICS


Code : 14PPH1E1A Credits: 5

OBJECTIVES:

1. To study the basic analog circuits.

2. To get a deep knowledge of operational amplifiers and analysis of their applications.

UNIT I: ANALOG CIRCUITS (18 hrs)

FET, MOSFET,SCR,TRIAC,Gun Diode– V-I characteristics – Conduction mechanism – gain and

related parameters – Frequency and power considerations.

UNIT II: OPERATIONAL AMPLIFIERS FUNDEMENTALS (18 hrs)

Basic op-amp configuration – ideal op-amp circuit – AC-DC analysis – open loop configuration –

inverting and non inverting amplifiers. Negative feedback – voltage series feedback – effect of feedback

– non linear closed loop characteristics. Op-amp frequency response.

UNIT III: OP-AMP PARAMETERS AND LINEAR CIRCUITS (18 hrs)

Input and output offset voltage – input bias current and input offset current. Offset error compensation.

Slew rate limiting- input and output impedances –stability- and frequency response- current to voltage-

voltage to current converters. Difference, instrumentation and Transducer bridge amplifiers.

UNIT IV: OP- AMP APPLICATION (18 hrs)

Filters: first order and second order filters – voltage comparators – Schmidt triggers –peak detectors –

sample and hold circuits – logarithmic amplifiers – analog computers.Oscillators: sine wave, free

running, triangular and saw tooth wave oscillators.

UNIT IV: OP- AMP APPLICATION (18 hrs)

Universal active filter, Design procedure – phase – Locked loops, Operating principles Monolithic

phase – locked loops – 565 PLL applications – Power amplifiers – Power boosters – Voltage regulators

– Fixed and adjustable – Switching and special.

BOOKS FOR STUDY:

1. Electronic fundamentals Applications, john.D.Ryder , Tata Mc Grow Hill, V, 1993,

UNIT I: ANALOG CIRCUITS

Chapter-1 sec 1.13 – 1.15


2. Op-amp & linear integrated circuits, Ramakanth & Gayakwad, A.Prentice hall of India PVT Ltd , III. 1994



Chapter-4 sec 4 – 4.3



Chapter-6 sec 6.2, 6.3, 6.9, 6.10.

Chapter-7 sec 7.6,7.9, 7.10

3. Linear integrated circuits, D.roy, chodhury shail Jain, New age International Pvt Ltd., Publishers, Reprint

2002 D. Roy Choudhury, Shail Jain(Reprint 2002)- linear integrated circuits

9

Chapter-4 sec 4.6.3, 4,7, 4.8

Chapter-5 sec 5.2, 5.3

Op-Amp and Linear Integrated Circuits. III edition, Ramakanth and Gayakwad.A (1994) .

Chapter-8 sec 8.2- 8.6, 8.12- 8.17

UNIT V: Op-Amp and Linear Integrated Circuits. III edition, Ramakanth and Gayakwad.A(1994).

Chapter - 10 sec 10.1, 10.2 10.2.1, 10.5, 10.5.1, 10.5.2, 10.5.3,10.6, 10.6.1, 10.6.2, 10.7, 10.7.1, 10.7.2,

10.7.3, 10.7.4


1. Integrated Circuits & Semiconductor Devices - G.J.Deboo & C.N. Burrous Mc Graw Hill,

Kogakusha Ltd, 1977

2. Integrated Electronics. Millman Halkais, Tata Mc Graw Hill Publishers, 1998

10

APPLIED PHYSICS


Code : 14PPH1E1B Credits: 5

UNIT I: ULTRASONICS (18 hrs)

Ultrasonics as a means of communication – testing of material by ultrasonics –dispersive and colloidal

effects of ultrasonics – separation of mixtures by ultrasonic cutting and machinery of hand materials –

Biological effects – imaging method in medicine.

UNIT II: ELECTRONIC DEVICES (18 hrs)

Electro – optic effects - material properties related to get these effects –important ferroelectric, liquid

crystal and polymeric materials for these devices.

UNIT III: ELECTROMAGNETIC DEVICES (18 hrs)

Piezoelectric, electrostrictive and magnetostrictive effects, important material exhibiting these

properties and their applications in sensors and actuator devices – Acoustic Delay lines, piezo electric

devices – Surface acoustic wave devices.

UNIT IV: GROUP THEORY (18 hrs)

Symmetry elements and operations – point group – character tables – deduction of the number of

normal modes vibrations of different symmetry types – Applications to molecular structure.

UNIT V: NORMAL COORDINATE ANALYSIS (18hrs)

Molecular vibrations – Types of force fields – Wilson’s FG matrix method of evaluation potential

constants-Applications to planner XY2 and XY3 systems- force constants and group frequencies.

BOOKS FOR STUDY:

1. Ultrasonics series I-VIII Optical electronics- W.Mason, Ajoy Ghatak & K.Thyagarajan, Cambridge

University Press, 1998

2. Molucular Vibrations Wilson, Decius & Cross

BOOKS FOR REFERENCES:

1. Fundamentals of Ultrasonics Blitz Ultrasonics Vighrous

2. Chemical Applications of Group Theory Willey inter science

11

PRACTICAL – I


Code : 14PPH1P01 Credits: 4

1. Application of IC 555 timer

2. Karnaugh map.

3. Multiplexer and De-Mulitiplexer

4. Dielectric loss using CRO

5. Wave form generator

6. Analog Computation

7. Elastic constant- Elliptical fringes

8. Elastic constant- Hyperbolic fringes

9. Quincke’s method

10. Anderson bridge.

12

CLASSICAL AND NON-LINEAR DYNAMICS

Semester: II Hours : 6


OBJECTIVES:

1. To get a deep knowledge on various concepts of Classical Mechanics and its applications

2. To understand the principles of nonlinearity and its consequences.

UNIT I: LAGRANGIAN DYNAMICS & VARIATIONAL PRINCIPLE (18 hrs)

Constraints – Generalized co-ordinates – Principle of Virtual Work – D’Alembert’s principle –

Lagrange’s equations from D’Alembert’s principle – Procedure Lagrange’s equation in presence of

non-conservative forces – Generalized potential – Hamilton’s principle and Lagrange’s

equations.Calculus of variations and Euler-Lagrange’s equations Deduction of Hamilton’s principle

from D’Alembert’s principle Modified Hamilton’s principle – Hamilton’s equations from modified

Hamilton’s principle – Lagrange’s equations from variational principle for non-conservative systems –

Lagrange’s method of undetermined multipliers – Physical significance Examples - Δ variation –

Principle of least action – Other forms.

UNIT II: HAMILTONIAN DYNAMICS & CANONICAL TRANSFORMATIONS (18 hrs)

Generalized momentum & Cyclic co-ordinates – Conservation theorems – Hamiltonian function –

Hamilton’s equations – Examples – Routhian Canonical & Legendre transformations – Generating

functions – Procedure for application of canonical transformations – Conditions for canonical

transformations – Bilinear invariant condition – Integral invariance of Poincare – Infinitesimal Contact

transformation. Poisson’s & Lagrange’s brackets – Relation between them – Angular momentum –

Invariance – Phase space – Liouville’s theorem.

UNIT III: SMALL OSCILLATIONS & RIGID BODY DYNAMICS (18 hrs)

Potential energy and equilibrium – 1D oscillator – Two coupled oscillators – Examples.General theory

of small oscillations – Linear tri-atomic molecule – Many coupled oscillators – Waves on a

string.Generalized co-ordinates of a rigid body – Referencesystems – Euler’s angles – Angular velocity

– Angular momentum – Principal moments of inertia – Euler’s equations – Torque free motion – Force-

free motion – Symmetrical top–Fasttop–Sleepingtop–gyroscope.

UNIT IV: LINEAR AND NONLINEAR SYSTEMS (18 hrs)

Dynamical systems – Nonlinearity – Mathematical implications, Working definition, Effects – Linear

and Nonlinear oscillators – Free, damped, forced – Autonomous and Non-autonomous systems –

Equilibrium points – Stability, Classification – Limit cycle motion – Higher dimensional systems –

More complicated attractors – Dissipative and conservative systems.

UNIT V: BIFURCATIONS AND CHAOS (18 hrs)

Simple bifurcations – Saddle Node, Pitchfork, Transcritical, Hopf – Discrete Dynamical Systems –

Logistic map, Equilibrium points, Period doubling phenomenon, Onset of chaos, Bifurcation diagram –

Strange attractor in Henon Map – Other routes to chaos – Quasiperiodic, Intermittency – Standard

bifurcations in maps.

13

BOOKS FOR STUDY:

1. Classical Mechanics –J . C. Upadhyaya , Himalaya Publishing House, Mumbai, 2003

UNIT – I. Chapters – 2, 5

UNIT – II. Chapters – 3, 6, 7

UNIT– III. Chapters – 9, 10

2. Nonlinear Dynamics Integrability, Patterns, Chaos & M. Lakshmanan & S. Rajasekhar Springer

(India), Private Limited, New Delhi, 2003

UNIT – IV. Chapters – 1, 2, 3

UNIT – V. Chapter – 4


1. Classical Mechanics H. Goldstein Narosa Publications, 1984 New Delhi

2. Classical Mechanics N. C. Rana & Tata Mcgraw Hill 1999 P. S. Joag Publications, New Delhi

3. Nonlinear Oscillations M. Daniel Narosa Publications, 2002 & Chaos New Delhi

14

SOLID STATE PHYSICS - I



OBJECTIVES:

1. To have an introductory knowledge about Crystal Structure and their properties.

2. To study the concept of phonons.

3. To get a deep knowledge of bond theory.

UNIT I: CRYSTAL STRUCTURE & RECIPROCAL LATTICE (18hrs)

Periodic array of atoms – Fundamental types of lattices – index system for crystal planes – simple

crystal structures – Direct imaging of atomic structure – Non-ideal crystal structure – Diffraction of

wave by crystals – scattered wave amplitude – Brillouin Zones – Fourier analysis of the Basis – Quasi

crystals.

UNIT II: CRYSTAL BINDING AND ELASTIC CONSTANTS (18 hrs)

Crystals of inert gases – ionic crystals – covalent crystals – metals – hydrogen bonds atomic radii –

analysis of elastic strains – elastic compliance and stiffness constants – elastic waves in cubic crystals.

UNIT III: PHONONS (18 hrs)

Vibrations of crystals with monatomic basis – two atoms per primitive basis – Quantization of elastic

waves – phonon momentum – inelastic scattering by phonons phonon heat capacity – an harmonic

crystal interactions – thermal conductivity.

UNIT IV: FREE ELECTRON FERMI GAS & ENERGY BANDS (18hrs)

Energy levels in 1 D – Effect of temp on the FD distribution – free electron gas in 3D heat capacity of

the electron gas – electrical conductivity and Ohm’s law – motion in magnetic fields – thermal

conductivity of metals – nano structures – nearly free electron model – Bloch function – Kronig –

Penney model- wave equation of electron - a periodic potential – number of orbital in a band.

UNIT V: SEMI CONDUCTOR CRYSTALS & FERMI SURFACES AND METALS (18hrs)

Band gap – equation of motion – intrinsic carrier concentration – impurity conductivity –

thermoelectric effects – semi metals – super lattices – construction of Fermi surfaces – electron orbits,

hole orbits, and open orbits – calculation of energy bands – experimental methods in Fermi surface

studies.

BOOKS FOR STUDY:

1. Solid State Physics Charles Kittel Wiley Eastern Limited VII edition (1996)

Chapters 1, 2, 3, 4, 5, 6, 7, 8, 9


1. Solid State Physics S.O. Pillai Wiley Eastern Limited. 1994

15

MATHEMATICAL PHYSICS-II



OBJECTIVE:

To get a knowledge about Group theory, Fourier series, Differential equation and special functions.

UNIT I :GROUP THEORY (18 hrs)

Introduction- Generators of continuous group- Orbital angular momentum- Angular momentum

coupling- Homogenous Lorentz Group- Larentz Covariance of Maxwell’s equations-Discrete groups.

UNIT II: FOURIER SERIES (18 hrs)

Properties- Advantages- Uses of Fourier series- Applications of Fourier series- Properties of Fourier

series- Gibbs phenomenon- Discrete Fourier transform.

UNIT III: DIFFERENTIAL EQUATION (18 hrs)

Partial Differential Equations- First order Differential Equations- Seperation of variables- Singular

points-Series solutions-Frobenius method.

UNIT IV: FOURIER AND LAPLACE TRANSFORMS (18 hrs)

Integral transforms- Development of the Fourier integral- Fourier transforms-Convolution theorem-

Momentum representation- Transfer functions- Laplace Transforms-Laplace transform of derivatives.

UNIT V : LEGENDRE FUNCTION (18 hrs)

Generating function- Recurrence relation- Orthogonality- Spherical Harmonics-Hermite function-

Laguerre Function.

BOOKS FOR STUDY:

1. Mathematical methods For physicists - Arfken & Weber, Elsevier, a division of Reed Elsevier

India Private limited, VI

DETAILED REFERENCES:

Unit I

Chapter: 4,4.1-4.7

Unit II

Chapter: 14,14.1-14.6

Unit III

Chapter: 9.1-9.5

Unit IV

Chapter: 15, 15.1-15.3, 15.5-15.9.

Unit V

Chapter: 12.1-.12.3, 12.6,

Chapter: 13.1-13.2

16

MOLECULAR SPECTROSCOPY AND LASER



OBJECTIVES:

To get a deep knowledge of the origin of various types of spectra and their applications.

UNIT I: MICROWAVE & INFRARED SPECTROSCOPY (18hrs)

The rotation of molecules – rotational Spectra – diatomic molecules – polyatomic molecules –

Techniques and Instrumentation – Chemical Analysis by Microwave spectroscopy – the microwave

oven-the vibrating diatomic molecule – Diatomic vibrating rotator – vibration-. rotation spectrum of

CO – Breakdown of the Born – Oppenheimer approximation: Vibration of polyatomic molecules –

influence of rotation on the spectra of polyatomic molecules – Techniques and Instrumentation.

UNIT II: RAMAN SPECTROSCOPY (18hrs)

Introduction – rotational Raman spectra – vibrational Raman spectra – Polarization of light and the

Raman effect – Structure determination from Raman and IR spectroscopy – Techniques and

Instrumentation.

UNIT III: ELECTRONIC SPECTROSCOPY OF MOLECULES (18hrs)

Electronic spectra of diatomic molecules – Electronic structure of diatomic molecules – electronic

spectra of polyatomic molecules – Techniques and Instrumentation.

UNIT IV: SPIN RESONANCE SPECTROSCOPY & MOSSBAUER SPECTROSCOPY (18hrs)

Interaction between spin and magnetic field - Relaxation times – The chemical shift – The coupling

constant – Electron spin resonance spectroscopy- principles of Mossbauer spectroscopy – Applications

of Moss bauer Spectroscopy.

UNIT V: LASER (18hrs)

Einstein’s coefficients-Light amplification-The threshold condition-Laser rate equations-the three level

system-four level system-Variation of laser power around threshold- optimum output coupling-Line

broadening mechanisms-the quality factor-the ultimate line width of a laser mode selection-Q

switching mode locking.

BOOK FOR STUDY:

1. Fundamentals of molecular spectroscopy, Colin N.Banwell,TataMcGraw-Hill IV

UNIT I

Chapter 2 – 2.1 to 2.7,

Chapter 3 – 3.1 to 3.6, 3.8.1-3.8.4

UNIT II

Chapter 4 – 4.1 to 4.6

UNIT III

Chapter 6 – 6.1 to 6.4

UNIT IV

Chapter 7 – 7.1.2, 7.1.5, 7.2, 7.2.1, 7.2.2, 7.5.1-7.5.6,

Chapter 9 – 9.1, 9.2

17

2. Optical electronics- Elaine M. Mc Cash - Ghatak A.K & Thyagarajan K 1989

UNIT V

Chapter-8: 8.1 – 8.8,

Chapter-9.3,9.4,9.6

BOOK FOR REFERENCES:

1. Molecular Structure And spectroscopy, G.Aruldhas – Tata MaGrow Hill, Publications, 2001

Spectroscopy J.F.B. Hawkes

2. Lasers:Theory and Applications - Thyagarajan . K& Ghatak A. K Milonni P.W, Tata MaGrow

Hill, Publications, 1988.

18

BIOMEDICAL INSTRUMENTATION

Semester: II Hours: 6


LEARNING OUTCOMES:

Clear understanding of the principles involved in the working of medical instruments

Deep knowledge of the working of different parts of medical instruments

Overall view of the usage of medical instruments

UNIT I: BIO POTENTIAL RECORDERS:

Characteristics of the recording system – Electrocardiography – Origin of cardiac action potential –

ECG Lead configuration – ECG recording set up – Phonocardiography – Echocardiography –

Electroencephalography – Origin of EEG – Action potentials of the brain – evoked potentials. [12hrs]

UNIT II: PHYSIOLOGICAL ASSIST DEVICES:

Pacemakers – Energy requirements to excite heart muscles – Methods of stimulation, Ventricular

asynchronous Pacemakers – Artificial heart valves – Requirements for the design of artificial heart

valves – Different natural heart valves – Different types of artificial heart valves. [12hrs]

UNIT III: DIAGNOSTIC INSTRUMENTS:

Heart – Lung machine – Mechanical function of the heart – Model of the heart – lung machine –

Oxygenators – Bubble Oxygenators – film oxygenators – Blood pumps – Kidney machine – Renal

function – Dialysis – Extra corporeal Dialysis – Intra- Corporeal Dialysis Ventilators – Pressure limited

Ventilators – Volume limited Ventilators – Servo controlled Ventilators – Anesthesia machine –

Flowmeters – Rotameter – Turbine flowmeter. [12hrs]

UNIT IV: OPERATION THEATRE EQUIPMENT:

Blood flow meter – Electromagnetic blood flow meter – Ultrasonic blood flow meter based on transit

time principle – Ultrasonic Doppler blood flow meters – Laser based Doppler blood flow meters –

NMR blood flow meters – Cardiac output measurements – Fick’s method, Measurement of cardiac

output by impedence change – Spirometer. [12hrs]

UNIT V: ADVANCES IN BIOMEDICAL INSTRUMENTATION:

Endoscopes – cryogenic surgery – Nuclear imaging technique – Computer tomography Scanner –

Magnetic resonance imaging(MRI) – Fourier transform NMR – Magnetic relaxation and MRI

parameters – MRI Instrumentation – Positron Emission tomography(PET) – Digital substraction

Angiography(DSA) – Bio feedback instrumentation – Biomaterials – Permanent implant – Transient

implant. [12hrs]

BOOK FOR STUDY

Biomedical Instrumentation – Dr. M. Arumugam

REFERENCE FOR EACH UNIT:

Unit I : Ch 4 – 4.2, 4.3 – 4.3.1, 4.3.2, 4.3.3, 4.3.7, 4.3.8, 4.4, 4.4.1.

Unit II : Ch 5 – 5.2, 5.2.1, 5.2.2, 5.2.3, 5.4, 5.4.1, 5.4.2, 5.4.3.

Unit III: Ch 5 – 5.7, 5.7.1, 5.7.2, 5.7.3, 5.7.4, 5.8, 5.8.1, 5.8.2

Ch 6 – 6 .8, 6.9, 6.9.1

Unit IV: Ch 6 – 6.10, 6.10.1, 6.10.2, 6.10.3, 6.10.4, 6.11, 6.12.2

Unit V : Ch 10 – 10.4, 10.5, 10.6, 10.7, 10.10.3, 10.10.4, 10.10.8, 10.11, 10.12, 10.13, 10.14

19

PRACTICAL – II



1. Mod-3,Mod-5,Mod-10 Counter

2. Diode Characteristics

3. Shift register & Ring counter

4. Microprocessor- Largest & Smallest elements in array

5. Microprocessor- Ascending & Descending

6. D/A Counter

7. Wein’s bridge & Phase shift Oscillator

8. Spectrometer-Charge of an Electron

9. Hall effect in Semiconductor.

20

QUANTUM MECHANICS - I

Semester: III Hours: 6


LEARNING OUTCOMES:

Clear understanding of the inadequacies of classical mechanics and the explanation by quantum

mechanics

Detailed knowledge on Schrödinger’s Equation and its applications

Familiarization of the concepts of Wave Mechanics

Broad idea on the theoretical aspects of Scattering theory

New insight on the Angular momentum operators

UNIT I: SCHRODINGER EQUATION AND STATIONARY STATES

Inadequacy of classical concepts – Black body radiation – Specific heats of solids – Photoelectric effect

– Compton effect – Schrodinger equation – Free particle in 1D – Generalization to 3D – Particle

subject to forces. Normalization and Probability Interpretation – Box Normalization – Conservation of

Probability – Expectation Values: Ehrenfest’s Theorem – Admissibility Conditions – Time

Independent Schrödinger equation – Particle in a Square Well Potential – Bound states – Non-localized

states. (18 hrs)

UNIT II: WAVE MECHANICS

Schrödinger equation and Probability Interpretation for N Particle system – Fundamental Postulates of

Wave Mechanics – Adjoint of an Operator – Degeneracy – Eigenvalue problem – Self Adjoint

operators – Dirac Delta Function –Observables – Closure – Physical interpretation – Momentum Eigen

functions – Uncertainty Principle – Minimum value for Uncertainty Product – Removal of degeneracy

– Evolution of System with Time. (18 hrs)

UNIT III: EXACTLY SOLUBLE EIGENVALUE PROBLEMS

Simple harmonic oscillator –Schrodinger equation and Energy eigenvalues – Energy eigenfunctions –

Properties of Stationary states – Abstract Operator method – Coherent States – Angular momentum

operators – Eigenvalue equation for L2 – Eigenvalues and Eigenfunctions – Spherical harmonics.

Hydrogen Atom – Energy levels – Stationary State Wavefunctions – Discussion of Bound States.

(18 hrs)

UNIT IV: SCATTERING THEORY

Differential and Total Cross-sections – Scattering Amplitude – Green’s Functions – Born

Approximation – Validity – Born Series – Eikonal approximation – Partial Wave Analysis – Phase

Shifts – Optical theorem – Potentials of finite range – Low energy scattering. (18 hrs)

UNIT V: ANGULAR MOMENTUM

Eigenvalue spectrum - Matrix representation of J in the |jm> basis – Spin angular momentum –

Diamagnetism – Addition of Angular momenta – Clebsch-Gordan Co-efficients – Spin wavefunctions

for a system of two spin-1/2 particles – Addition of Spin and Orbital Angular momenta. (18 hrs)

21

BOOK FOR STUDY

P. M. Mathews & K. Venkatesan – A Textbook of Quantum Mechanics, Second Edition (Seventh

Reprint 2014) – McGraw Hill Education (India) Private Limited, New Delhi.

BOOKS FOR REFERENCE

1. L. I. Schiff – Quantum Mechanics, III edition – Tata McGraw Hill, New Delhi – 1968.

2. Bjorken & Drell – Relativistic Quantum Fields – Tata McGraw Hill, New Delhi – 1965.

3. J. J. Sakurai – Advanced Quantum Mechanics – Pearson Education Inc., New Delhi – 2008.

4. S. L. Kakani and H. M. Chandalia – Quantum Mechanics – Sultan & Sons, New Delhi – 2007.

5. Chatwal Anand – Quantum Mechanics – Himalaya Publishing House, Mumbai – 2007.

DETAILED REFERENCE



UNIT I : Chapter 1: 1.3 to 1.6, Chapter 2: 2.1 to 2.12

UNIT II : Chapter 3: 3.1 to 3.14

UNIT III: Chapter 4: 4.1 to 4.9, 4.15 to 4.17

UNIT IV: Chapter 6: 6.1 to 6.13

UNIT V : Chapter 8: 8.1 to 8.9

22

SOLID STATE PHYSICS - II



LEARNING OUTCOMES:

Deep knowledge of Dielectrics.

Clear understanding of superconductivity.

Theoretical knowledge of magnetic properties of materials.

UNIT I: PLASMONS, POLARITONS, POLARONS AND EXCITONS

Dielectric function of the e- gas – Plasmons – Electrostatic screening – Polaritons – electron-electron

interaction – electron-phonon interaction – Peierls instability of linear metals – Optical reflectance –

Excitons – Raman effect in Crystals – Energy loss of fast particles in a solid. (18hrs)

UNIT II: SUPER CONDUCTIVITY

Superconductivity – Experimental survey – Theoretical survey – High-temperature superconductors.

(18 hrs)

UNIT III: MICROSCOPIC ELECTRIC FIELD

Microscopic electric field – Local electric field at an atom – Dielectric constant and polarizability –

Structural phase transitions – Ferro electric crystals – Displace transitions – Langevin diamagnetism

equation – Quantum theory of diamagnetism – Para-magnetism – Quantum theory of para-magnetism –

Cooling by isentropic demagnetization – Paramagnetic susceptibility of conduction electrons. (18 hrs)

UNIT IV: FERROMAGNETIC ORDER

Ferromagnetic order – Magnons – Neutron magnetic scattering – Ferromagnetic Order – Anti

ferromagnetic order – Ferro magnetic domain – Single domain particles – Magnetic bubble domain –

NMR – Line width – Hyperfine splitting – Nuclear quadruple resonance – Ferromagnetic resonance –

Anti ferromagnetic resonance – Electron paramagnetic resonance – Principle of master action. (18 hrs)

UNIT V: LATTICE VACANCIES

Lattice vacancies – Diffusion – Color centers – Surface crystallography – Surface electronic structure –

Magneto-resistance in a 2D channel – PN junctions – Heterostructures – Semiconductor laser – LED –

STM – Shear strength of single crystals – Dislocations – Strength of alloys – Dislocations and crystal

growth – Hardness of materials – General considerations – Substitutional solid solutions – Hume-

Rothery rules – Order-disorder transformation – Phase diagrams – Transition metal alloys – Kondo

effect. (18 hrs)

BOOK FOR STUDY

Charles Kittel – Solid State Physics, VII edition – Wiley Eastern Ltd. – 1996.

23

BOOK FOR REFERENCE

1. S. O. Pillai – Solid State Physics – Wiley Eastern Ltd. – 1994.

2. Ajay Kumar Saxena – Solid State Physics – Macmillan India Limited – 2006.

DETAILED REFERENCE

Charles Kittel – Solid State Physics, VII edition – Wiley Eastern Ltd. – 1996.

UNIT I : Chapters 10 and 11

UNIT II : Chapter 12

UNIT III : Chapters 13 and 14

UNIT IV : Chapters 15 and 16

UNIT V : Chapters 18, 19, 20, 21

24

RESEARCH METHODOLOGY


Code: 14PPH3C09 Credits: 5

LEARNING OUTCOMES:

Clear idea about research data collections

Familiarization of analytical instruments

Enhancing the skill of thesis writing

UNIT I: INTRODUCTION

Meaning of Research – Objectives of Research – Types of Research – Research Approaches –

Significance of Research – Research Methods versus Methodology – Research and Scientific Method

– Research process – Research process – Criteria of Good Research – Problems Encountered by

Researchers in India – What is a Research Problem – Selecting the Problem – Necessity of Defining

the Problem – Techniques involved in defining a problem. (18 hrs)

UNIT II: RESEARCH DESIGN

Meaning of Research Design – Need for Research Design – Features of a Good Design – Important

Concepts relating to Research Design – Different Research Designs –Basic Principles of Experimental

Designs – Important Experimental Designs. (18 hrs)

UNIT III: DESCRIPTIVE STATISTICS

Measures of Central Tendency: Mean, Median, Mode Other Averages – Measures of Dispersion –

Range, Mean Deviation, Standard Deviation – Measures of Skewness – Kurtosis – Measures of

Relationship – Covariance, Karl Pearson’s Coefficient of Correlation, Rank Correlation – Association

in case of Attributes – Other Measures – Index Numbers, Time Series. (18 hrs)

UNIT IV: INSTRUMENTATION

Mass Spectrometers – Atomic fluorescence spectrometer – X– Ray Monochromators – UV-Vis

spectrophotometer – Raman Spectrophotometers – Scanning Electron Microscope – Atomic Force

Microscope. (18 hrs)

UNIT V: INTERPRETATION AND REPORT WRITING

Meaning of Interpretation – Techniques of Interpretation – Precautions in Interpretation – Significance

of Report Writing – Different steps in writing report – Layout of the Research Report – Types of

Reports – Oral presentation – Mechanics of writing a Research Report – Precautions for writing

Research Reports – Conclusion. (18 hrs)

BOOKS FOR STUDY

1. C. R. Kothari and Gaurav Garg – Research Methodology: Methods and Techniques, 3rd

Edition –

New Age International Publishers – 2014.

2. Douglas A. Skoog, F. James Holler and Timothy A. Nieman – Principles of Instrumental Analysis,

Fifth edition – Thomson Brook /Cole Publishers – 2005.

25

BOOKS FOR REFERENCE

1. Jain, Gopal pal – Research Methodology – Mangal Deep Publications, Jaipur – 2003.

2. R. K. Majumdar and A. N. Srivastava – Research Methodology – Annai Publications, Palayamkottai

– 1986.

3. C. R. Kothari – Research Methodology – Prentice Hall of India Pvt. Ltd., Delhi – 1968.

4. Khandpur – Hand book of Analytical Instruments, II edition – Tata Mcgraw Hill – 2006.

DETAILED REFERENCE

C. R. Kothari and Gaurav Garg – Research Methodology: Methods and Techniques, 3rd

Edition – New

Age International Publishers – 2014.

UNIT I : Chapter 1: 1.1 to 1.10, Chapter 2: 2.1 to 2.4

UNIT II : Chapter 3:3.1 to 3.3, 3.4(3.4.1 to 3.4.10), 3.5(3.5.1 to 3.5.3), 3.6, 3.7(3.7.1 to 3.7.7)

UNIT III : Chapter 8: 8.1 to 8.7

Douglas A. Skoog, F. James Holler and Timothy A. Nieman – Principles of

Instrumental Analysis, Fifth edition – Thomson Brook /Cole Publishers – 2005.

UNIT IV : 11B, 9E1, 12B– 3, 13D, 13D– 1, 18B– 3, 21C– 1, 21D– 2

C. R. Kothari Gaurav Garg – Research Methodology: Methods and Techniques, 3rd

Edition – New Age International Publishers – 2014.

UNIT V : Chapter 19: 19.1 to 19.11

26

NUCLEAR AND PARTICLE PHYSICS



LEARNING OUTCOMES:

Detailed knowledge on nuclear decay.

Familiarization of the concepts of nuclear models.

Understanding the concept of Elementary Particles.

UNIT I: ALPHA AND BETA DECAY

Determination for q/M for the α-particle – Range of α-particles – Energy of α-particles – Range –

Velocity-Energy – Half Life Relations – Alpha Decay – Energy – Mass Number – Alpha particle

spectra – Gamow’s theory of α-decay – Advances in the theory of α-decay – Beta spectroscopy – The

Neutrino – Energy – Half life relationships – Fermi theory of β-decay – Classification of Beta

Transitions – General theory of beta-decay – Electron Capture – Violation of Parity Conservation in

Beta decay. (18 hrs)

UNIT II: GAMMA RADIATION

Measurement of gamma ray energies – Multipole Radiations – Internal Conversion – Internal pair

creation – Nuclear Isomerism – Coulomb Excitation – Angular Distribution and Directional correlation

in γ-emission – Measurements of Lifetimes of Nuclear States – Nuclear Resonance Fluorescence –

Mossbauer Effect. (18 hrs)

UNIT III: NUCLEAR MODELS

Fermi Gas model – Liquid drop model – Shell model – Extreme Single Particle model – Single Particle

model – Collective Nuclear model – Unified model – Superconductivity model – Ionization chamber –

Semiconductor Detectors – Regions of multiplicative operation – Proportional counter – Geiger Muller

Counter – Scintillation Counters – Cerenkov Counters – Cloud Chamber. (18 hrs)

UNIT IV: NUCLEAR REACTIONS AND PARTICLE ACCELERATORS

Types of nuclear reactions – Conservation laws – Nuclear reaction kinematics – Nuclear transmutations

– Nuclear cross-section. Low energy cyclic accelerators – Linear accelerators – Synchrotrons. (18 hrs)

UNIT V: ELEMENTARY PARTICLES

Classification of elementary particles – Fundamental interaction in nature – Particle instability –

Conservation laws – Resonances. (18 hrs)

BOOK FOR STUDY

1. D. C. Tayal – Nuclear Physics – Himalaya Publishing House – 2014.

2. S. L. Kakani and Shubra Kakani – Nuclear and Particle Physics – Vinod Vasishtha for Viva Books

Pvt. Ltd. – 2008.

BOOKS FOR REFERENCE

1. Irving Kaplan – Nuclear Physics – Narosa Publishing House, New Delhi – 2002.

2. S. B. Patel – Nuclear Physics – New Age International Publishers, New Delhi – 2012.

3. Srivastava – Fundamentals of Nuclear Physics – Rastogi Publications, New Delhi – 2011.

27

DETAILED REFERENCE

D. C. Tayal – Nuclear Physics – Himalaya Publishing House – 2014.

UNIT I : Chapter 5: 5.1-5.8, Chapter 6: 6.1-6.9

UNIT II : Chapter 7: 7.1-7.11

UNIT III : Chapter 9: 9.1-9.8, Chapter 4: 4.2-4.9

UNIT IV : Chapter 10: 10.1-10.4, 10.7, Chapter 11: 11.6, 11.8, 11.9

S. L. Kakani and Shubra Kakani – Nuclear and Particle Physics – Vinod Vasishtha for

Viva Books Pvt. Ltd. – 2008.

UNIT V : Chapter 10: 10.1-10.6, 10.10-10.11, 10.13-10.15

28

CRYSTAL GROWTH AND THIN FILM CHARACTERIZATION



LEARNING OUTCOMES:

Clear understanding of the different methods of crystal growth in solution and gel media.

Deep knowledge of characterization techniques of crystals.

Familiarization with different thin film deposition techniques.

Introduction about thin film applications

UNIT I: CRYSTAL GROWTH PHENOMENA

Crystal growth techniques – Chemical physics of crystal growth – Nucleation – Theories of nucleation

– Classical theory of nucleation – Gibbs Thomson equation for vapor – Modified Thomson’s equation

for melt – Gibb’s Thomson’s equation for solution – Energy of formation of a nucleus – Spherical

nucleus – Cylindrical nucleus – Heterogeneous nucleation – Cap-shaped nucleus – Disc-shaped

nucleus. (18 hrs)

UNIT II: MELT GROWTH AND SOLUTION GROWTH

Growth from the melt – The Bridgman and related techniques – Container selection – Crystal pulling –

Equilibrium – Advantages – Versatility and adaptability – Visibility and speed of growth –

Unconstrained growth – Doping – Dislocation control – Disadvantages – Growth striae – Facets – The

crystal pulling technique – Practice of crystal pulling – Description of the controlling parameters – Low

temperature solution growth – High temperature solution growth. (18 hrs)

UNIT III: OTHER CRYSTAL GROWTH TECHNIQUES AND DESIGNING OF SEMICONDUCTOR

DEVICES

Vapor Growth – Physical Vapour Deposition – Chemical Vapor Deposition – Advantages and

Disadvantages of CVD – Chemical Vapor Transport – Hydrothermal growth – Gel Growth –

Semiconductor optoelectronic properties – Materials selection. (18 hrs)

UNIT IV: THIN FILM DEPOSITION TECHNIQUES

Deposition technology – Thermal Deposition in Vacuo-Kinetic Theory of Gas and Emission Condition

– Distribution of Deposit – Resistance Heating –Thermal Evaporation – Flash Evaporation – Multi

Evaporation process – R.F. or Induction Heating – Electron Beam Method – Cathode Sputtering –

Glow Discharge Sputtering – Low Pressure Sputtering – Reactive Sputtering – R.F.Sputtering –

Chemical Vapour Deposition & Vapour Plating – Thermal Decomposition – Vapor Phase Reaction –

Vapor Transportation Method – Disproportionation Method – Chemical Deposition – Electrodeposition

– Anodic Oxidation – Electroless Plating – Deposition by Chemical Reaction – Chemical

Displacement. (18 hrs)

UNIT V: THIN FILM APPLICATIONS

Discrete Resistive Components – Resistors – Carbon Films – Oxide and Nitride films – Cermet films –

Metal films – Thermistor – Varistor – Strain gauge element – Capacitor – Hall Probe Element – Active

Devices – Micro-Electronics, Integrated circuits and Other applications – Applications of Thin Film

Dielectrics – Applications of Superconducting and magnetic films. (18 hrs)

29

BOOKS FOR STUDY

1. P. Santhana Raghavan and P. Ramasamy – Crystal Growth: Processes and Methods– Kru

Publications – 2000.

2. A. Goswami – Thin film Fundamentals – New Age International Publishers, New Delhi – 2014.

BOOKS FOR REFERENCE

1. Brian R. Pamplin – Crystal Growth, II edition – Pergamon Press, Oxford – 1980.

2. Heinz K. Heinsch – Crystals in Gels and Liesegang Rings – Cambridge University Press – 1938.

3. Donald L. Smith – Thin Film deposition, Principles and Practice – McGraw Hill Inc., – 1995.

4. O. S. Heavens – Thin film Physics – Methuen & Co., London – 1970.

5. K. L. Chopra – Thin film phenomenon – McGraw Hill, New York – 1990.

DETAILED REFERENCE

P. Santhana Raghavan and P. Ramasamy – Crystal Growth: Processes and Methods– Kru Publications

– 2000.

UNIT I : Chapter 1: 1.4, 1.5

Chapter 2: 2.2.1, 2.2.2, 2.2.2-1, 2, 3, 4, 5, 6, 2.2.3-1, 2.

UNIT II : Chapter 3: 3.2, 3.3, 3.3.1, 3.4, 3.4.1, 3.4.2, 3.4.2-1, 2, 3, 4, 5, 3.4.3-1, 2, 3.4.4-1, 2.

Chapter 4: 4.1, 4.1-1, 2, 3, 4.1.3-1, 2, 3, 4.2, 4.2-1, 2, 3, 4.3, 4.4, 4.5, 4.6-1, 2, 4.7-1, 2, 4.8, 4.8.1

UNIT III : Chapter 5: 5.1, 5.1.1, 5.1.2-1, 2, 5.1.3-1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 5.2, 5.2-1, 2, 3, 4, 5, 6, 7, 8,

5.4-1, 2, 3, 4, 5.4.5, 5.4.5.1, 5.4.6-1, 2, 3, 4, 5.

Chapter 6: 6.1, 6.1-1, 2, 3, 4, 6.2-1, 2, 3, 4, 5, 6, 7

A. Goswami – Thin film Fundamentals – New Age International Publishers, New Delhi – 2014.

UNIT IV : Chapter 1: 3-3.1, 3.2, 3.3, 4-4.1, 4.2, 4.3, 4.4, 5, 6-6.1, 6.2, 6.3, 6.4, 7-7.1, 7.2, 7.3, 7.4, 8-8.1, 8.2,

8.3, 8.4, 8.5.

UNIT V : Chapter 14: 1, 2, 2.1, 2.1.1, 2.1.2, 2.1.3, 2.1.4, 3, 3.1, 3.2, 3.3, 4, 5, 6, 7.

Chapter 10: 21

Chapter 11: 10

30

PRACTICAL - III



LIST OF PRACTICALS

1. Four probe method

2. Anderson’s bridge – Mutual Inductance (Various distances)

3. Laser experiments

4. Active filters using IC 741

5. Digital Comparators

6. Microprocessor – Code conversion

7. Microprocessor – Interfacing

8. A / D Converter

9. Refractive indices of fluids using Nanofluid meter

31

QUANTUM MECHANICS - II

Semester: IV Hours: 6


LEARNING OUTCOMES:

Clear understanding on various approximation methods for stationary states

Vivid knowledge on the concepts of evolution of time and its alternative pictures

Broad idea on Relativistic quantum mechanics

Familiarization on the Quantum field theory

UNIT I: APPROXIMATION METHODS FOR STATIONARY STATES

Perturbation theory for discrete levels: Non-degenerate – Degenerate – Applications. Variational

method: Ground State energy – Application to excited states – Exchange interaction. WKB

approximation: Bohr-Sommerfeld Quantum Condition – Applications. (18 hrs)

UNIT II: EVOLUTION WITH TIME

General Solution of Schrodinger equation – Propagators – Sudden Approximation – Perturbation

theory – Transition Amplitude – Selection rules – First and Second Order transitions with Constant

Perturbation – Scattering of a particle by a Potential – Inelastic Scattering – Double Scattering by two

non-overlapping scatterers. (18 hrs)

UNIT III: PERTURBATION THEORY AND ALTERNATIVE PICTURES

Harmonic perturbations – Interaction of an atom with EM radiation – Dipole Approximation –

Einstein’s Co-efficients – Schrodinger picture – Heisenberg picture – Matrix mechanics –

Electromagnetic wave as Harmonic Oscillator – Spontaneous emission – Interaction picture –

Scattering operator. (18 hrs)

UNIT IV: RELATIVISTIC QUANTUM MECHANICS

Klein-Gordon equation – Limitations – Dirac equations – Dirac matrices – Plane wave solutions – Spin

of the Dirac particle – Negative energy states – Dirac particle in EM fields – Dirac equation in Central

field – Spin magnetic moment – Spin Orbit Energy. (18 hrs)

UNIT V: QUANTUM FIELD THEORY

Lagrangian field theory – Non-relativistic fields – Relativistic fields: Klein-Gordon field, Dirac field,

Electromagnetic field – Interacting fields. (18 hrs)

BOOKS FOR STUDY

1. P. M. Mathews & K. Venkatesan – A Textbook of Quantum Mechanics, Second Edition (Seventh


2. V. K. Thankappan – Quantum Mechanics, Third edition – New Age International Publishers – 2012.

BOOKS FOR REFERENCE

1. L. I. Schiff – Quantum Mechanics, III edition – Tata McGraw Hill, New Delhi – 1968.

2. Bjorken & Drell – Relativistic Quantum Fields – Tata McGraw Hill, New Delhi – 1965.

3. J. J. Sakurai – Advanced Quantum Mechanics – Pearson Education Inc., New Delhi – 2008.

4. S. L. Kakani and H. M. Chandalia – Quantum Mechanics – Sultan & Sons, New Delhi – 2007.

5. Chatwal Anand – Quantum Mechanics – Himalaya Publishing House, Mumbai – 2007.

32

DETAILED REFERENCE



UNIT I : Chapter 5: 5.1 to 5.13

UNIT II : Chapter 9: 9.1, 9.2, 9.4, 9.7 to 9.13

UNIT III : Chapter 9: 9.14 to 9.22

UNIT IV : Chapter 10: 10.1 to 10.11, 10.16, 10.17

V. K. Thankappan – Quantum Mechanics, Third edition – New Age International

Publishers – 2012.

UNIT V : Chapter 11: All sections.

33

MICROPROCESSOR AND MICROCONTROLLER



LEARNING OUTCOMES:

Microprocessor and micro controller techniques are learnt.

Interfacing a microprocessor to keyboards and ports are studied.

UNIT I: INTRODUCTION

Computers, microcomputers and microprocessors – an introduction – computers, 8086, 8018, 80188,

80286 microprocessors, introduction, 8086 internal architecture – introduction to programming the

8086.-8086 family assembly language programming – introduction, program development steps,

constructing the machine codes for 8086 instructions, writing programs for use with an assembler,

assembly language program development tools. (18 hrs)

UNIT II: INSTRUCTION SET AND PROGRAMMING

More practice with simple sequence programs – Converting two ASCII number codes to packed BCD

– FLAGS, JUMPS and WHILE DO implementation – 8086 unconditional jump instruction –

Conditional jump.

IF –THEN, IF –THEN – ELSE, AND MULTIPLE IF – THEN – ELSE programs – writing and using

procedures – writing and calling FAR procedures – writing and using assembler MACROS. (18 hrs)

UNIT III: INTERFACING

Digital interfacing and applications – programmable parallel ports and handshake input/output,

interfacing a microprocessor to keyboards, interfacing to alphanumeric ports to high power devices,

optical motor shaft encoders. (18hrs)

UNIT IV: INTEL 8051 MICROCONTROLLER – HARDWARE ARCHITECTURE

Architecture – Memory organization – Special Function Registers – Pins and Signals – Timing and

Control – Port Operation – Memory Interfacing – I/O Interfacing – Programming the 8051 Resources –

Interrupts. (18hrs)

UNIT V: INTEL 8051 MICROCONTROLLER – INSTRUCTION SET AND PROGRAMMING

Programmers Model of Intel 8051 – Operand Types – Operand Addressing – Data Transfer

Instructions – Arithmetic Instructions – Logic Instructions – Control Transfer Instructions – Case Study

– Traffic Light Control. (18hrs)

BOOKS FOR STUDY

1. Douglas. V. Hall – Microprocessors and Interfacing, Programming and Hardware, 7th

Edition – Tata

McGraw Hill Publications, New Delhi – 1995.

2. Krishnakant – Microprocessors and Microcontrollers Architecture, Programming and system design

8085, 8086, 8051, and 8096 – PHI Learning Private Ltd, New Delhi – 2007.

34

BOOKS FOR REFERENCE

1. Ramesh S. Gaonkar – Microprocessor: Architecture, Programming and Applications with the

8085, V Edition – Penram International Publishing Pvt. Ltd – 2010.

2. R. Theagarajan – Microprocessor and Microcontrollers – Scitech Publications Pvt. Ltd – 2004.

DETAILED REFERENCE

Douglas. V. Hall – Microprocessors and Interfacing, Programming and Hardware, 7th

Edition – Tata

McGraw Hill Publications, New Delhi – 1995.

UNIT I : Chapters 2 & 3 – All sections, Pages 24 – 71.

UNIT II : Chapters 4 & 5 – Pages 72 – 86, 104 – 141.

UNIT III : Chapter 9 – All sections, Pages 261 – 310.

Krishnakant – Microprocessors and Microcontrollers Architecture, Programming and

system design 8085, 8086, 8051, and 8096 – PHI Learning Private Ltd, New Delhi – 2007.

UNIT IV : Chapter 9: 9.1 – 9.11

UNIT V : Chapter 10: 10.1 – 10.8, Chapter11: 11.1, 11.2

35

NUMERICAL METHODS AND MATLAB



LEARNING OUTCOMES:

Polynomials and methods of solutions are introduced.

Methods of solving algebraic equations and differential equations are learnt.

MATLAB and its program for numerical methods are familiarized.

UNIT I: POLYNOMIAL AND TRANSCENDENTAL EQUATIONS

Basic properties of equations – Synthetic division – Bisection method – Regula Falsi method – Secant

method – Iteration method – Aitken’s method – Newton Raphson method.

INTERPOLATION

Equal intervals: Newton’s forward and backward interpolation formula – Unequal intervals:

Lagrange’s formula. (18 hrs)

UNIT II: CURVE FITTING

Laws reducible to linear law – Method of least squares – Fitting a curve – Method of group averages –

Method of moments.

SIMULTANEOUS ALGEBRAIC EQUATIONS

Direct methods of solution: Cramer’s rule, Matrix inversion method, Gauss elimination method, Gauss-

Jordan method, Factorization method – Iterative methods of solution: Jacobi’s method, Gauss Siedel

method, Relaxation method. (18 hrs)

UNIT III: ORDINARY DIFFERENTIAL EQUATIONS

Picard’s method – Taylor’s Series method – Euler’s method – Modified Euler’s method – Runge’s

method – Runge Kutta method – Predictor Corrector methods.

NUMERICAL INTEGRATION

Trapezoidal rule – Simpson’s 1/3 rule – Simpson’s 3/8 rule – Boole’s rule – Weddle’s rule – Errors in

quadrature formulae. (18 hrs)

UNIT IV: MATLAB FUNDAMENTALS

The MATLAB environment – Assignment – Mathematical Operations – Use of Built-in functions –

Graphics.

PROGRAMMING WITH MATLAB

M-files – input-output – Structured Programming – Nesting and indentation – Passing function to M-

files. (18 hrs)

UNIT V: NUMERICAL METHODS WITH MATLAB

Solving small numbers of equations: Graphical method, Determinants and Cramer’s rule, Elimination

of unknowns – Naive Gauss Elimination – Matrix inverse – Linear least squares regression – Newton

interpolating polynomial – Trapezoidal rule – Simpson’s rule – Runge Kutta method. (18hrs)

36

BOOKS FOR STUDY

1. Dr. B. S. Grewal – Numerical methods in Engineering & Science, Nineth Edition – Khanna

Publications, Delhi – Fourth reprint: 2011

2. Steven C. Chapra – Applied Numerical Methods with MATLAB for Engineers and Scientists, Special

Indian Edition – Tata McGraw-Hill, New Delhi – Seventh reprint: 2010.

BOOKS FOR REFERENCE

1. H. K. Jain, S. R. K. Iyengar and R. K. Jain – Numerical methods for Scientific and Engineering

Computation, IV edition – New Age International (P) Limited, Publishers, New Delhi – 2002.

2. J. N. Sharma - Numerical Methods for Engineers and Scientists – Narosa Publishing House, New

Delhi – 2004.

3. P. Kandasamy, K. Thilagavathy and K. Gunavathy - Numerical Methods – S. Chand & Company

Ltd, New Delhi – 2003.

4. E. Balagurusamy – Numerical Methods – Tata McGraw Hill Publishing Company Limited, New

Delhi - 2005.

DETAILED REFERENCE

Dr. B. S. Grewal – Numerical methods in Engineering & Science, Nineth Edition – Khanna

Publications, Delhi – Fourth reprint: 2011.

UNIT I : Chapter 2: 2.1- 2.4, 2.7-2.11, Chapter 7 : 7.1- 7.3, 7.11, 7.12

UNIT II : Chapter 5 : 5.2- 5.7, 5.9-5.11, Chapter 3: 3.3 -3.5

UNIT III : Chapter 10: 10.1- 10.8, Chapter 8: 8.4 – 8.6

Steven C. Chapra – Applied Numerical Methods with MATLAB for Engineers and Scientists,

Special Indian Edition – Tata McGraw-Hill, New Delhi – Seventh reprint: 2010.

UNIT IV : Chapter 2 : 2.1 – 2,5, Chapter 3 : 3.1 – 3.5

UNIT V : Chapter 9 : 9.1, 9.2, Chapter 11 : 11.1, Chapter 13 : 13.2

Chapter 15 : 15.2, Chapter 17 : 17.3, Chapter 20 : 20.4

37

PROJECT


Code : 14PPH4R01 Credits: 3

Selection of the Project

Literature Survey

Preliminary work

First Review

Incorporation of the suggestions

Second Review

Completion of the project

Report writing

Submission of the report and Preparation of Power point

Preparation for Viva-voce

sem code subject title hours credits total for …annejac.com/wp-content/uploads/pg-phy-syll.pdf ·...

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