intro to quantum mechanics (phys 304) instructor: prof. marcel franz textbook: “introduction to...

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Intro to Quantum Mechanics (phys 304) Instructor: Prof. Marcel Franz Textbook: “Introduction to QM” by D.J. Griffiths (second edition) Lectures: Tu & Th, 9:30-11:15 Course webpage: www.physics.ubc.ca/~franz/phy304.html QuickTime™ and a GIF decompressor are needed to see this picture.

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Page 1: Intro to Quantum Mechanics (phys 304) Instructor: Prof. Marcel Franz Textbook: “Introduction to QM” by D.J. Griffiths (second edition) Lectures: Tu &

Intro to Quantum Mechanics(phys 304)

•Instructor: Prof. Marcel Franz•Textbook: “Introduction to QM” by D.J. Griffiths (second edition)•Lectures: Tu & Th, 9:30-11:15•Course webpage: www.physics.ubc.ca/~franz/phy304.html

QuickTime™ and aGIF decompressor

are needed to see this picture.

Page 2: Intro to Quantum Mechanics (phys 304) Instructor: Prof. Marcel Franz Textbook: “Introduction to QM” by D.J. Griffiths (second edition) Lectures: Tu &

Particle-wave duality

What is this?

Young’s “double-slit” experiment

Interference: Light consists of WAWES

Page 3: Intro to Quantum Mechanics (phys 304) Instructor: Prof. Marcel Franz Textbook: “Introduction to QM” by D.J. Griffiths (second edition) Lectures: Tu &

If light consisted of particles…

Page 4: Intro to Quantum Mechanics (phys 304) Instructor: Prof. Marcel Franz Textbook: “Introduction to QM” by D.J. Griffiths (second edition) Lectures: Tu &

Light interference

r2 − r1 ≈ d sinθPath difference:

d sinθ = mλ , m = 0,±1,±2,...

d sinθ = (m + 12)λ , m = 0,±1,±2,...

Intensity maxima:

Intensity minima:

Page 5: Intro to Quantum Mechanics (phys 304) Instructor: Prof. Marcel Franz Textbook: “Introduction to QM” by D.J. Griffiths (second edition) Lectures: Tu &

Now perform the same experiment with electrons

Experiment by A. Tonomura of Hitachi Corp., June 1999

Page 6: Intro to Quantum Mechanics (phys 304) Instructor: Prof. Marcel Franz Textbook: “Introduction to QM” by D.J. Griffiths (second edition) Lectures: Tu &

Electrons: particles or waves?

QuickTime™ and aYUV420 codec decompressor

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http://www.hqrd.hitachi.co.jp/em/doubleslit.cfm

Page 7: Intro to Quantum Mechanics (phys 304) Instructor: Prof. Marcel Franz Textbook: “Introduction to QM” by D.J. Griffiths (second edition) Lectures: Tu &

What can we conclude about the electron from

Tonomura experiment?

Electrons appear to have both particle-like and wave-like properties!