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Tait Institute of Math Phys Peter Guthrie Tait 1831 – 1901 Chair of Natural Philosophy at Edinburgh Hamilton's Quaternions Theory of Knots with Maxwell & Thomson Trajectory of Golf Balls

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Page 1: Tait Institute of Math Phys Peter Guthrie Tait 1831 – 1901 Chair of Natural Philosophy at Edinburgh Hamilton's Quaternions Theory of Knots with Maxwell

Tait Institute of Math Phys

Peter Guthrie Tait1831 – 1901Chair of Natural

Philosophy at EdinburghHamilton's QuaternionsTheory of Knots with

Maxwell & Thomson Trajectory of Golf Balls

Page 2: Tait Institute of Math Phys Peter Guthrie Tait 1831 – 1901 Chair of Natural Philosophy at Edinburgh Hamilton's Quaternions Theory of Knots with Maxwell

Max Born (1882-1970)Nobel Prize 1954:

Statistical interpretation of

quantum theoryTait Professor at

Edinburgh UniversityUnfortunate Scandal:

Implicated in the Klaus Füchs

spying case; Füchs was an associate of Born in EdinburghBorn was totally exonerated according to his secretary

Ray Chester who still lives in Pennicuik outside Edinb.

Page 3: Tait Institute of Math Phys Peter Guthrie Tait 1831 – 1901 Chair of Natural Philosophy at Edinburgh Hamilton's Quaternions Theory of Knots with Maxwell

Nicholas Kemmer (1911-1998)Tait Professor of

Mathematical Physics at Edinburgh

ETH (Zurich): An associate of Wolfgang Pauli

Kemmer Equations: Pions (Yukawa)

Helped me enormously in my effort to come to UK to do scientific research.

Page 4: Tait Institute of Math Phys Peter Guthrie Tait 1831 – 1901 Chair of Natural Philosophy at Edinburgh Hamilton's Quaternions Theory of Knots with Maxwell

Wolfgang Pauli (1898-1988)Nobel Prize 1945

Exclusion PrincipleKemmer made interesting

comments 137 bus in London had a

special significanceErdeli – Maths Professor in

Edinburgh had a tremendous capacity for mental computing (like Indian Mathematician Ramanujan an associate of Hardy)

Page 5: Tait Institute of Math Phys Peter Guthrie Tait 1831 – 1901 Chair of Natural Philosophy at Edinburgh Hamilton's Quaternions Theory of Knots with Maxwell

Peter Higgs

Gauge Theory of Broken Symmetries

Higgs Boson(s)60s: Reader at Tait

Institute of Math. PhysicsGave our Quantum Field

Theory LecturesNow: Emeritus Professor at

Edinburgh

Page 6: Tait Institute of Math Phys Peter Guthrie Tait 1831 – 1901 Chair of Natural Philosophy at Edinburgh Hamilton's Quaternions Theory of Knots with Maxwell

Academics at Tait Institute in 60sLecturers:

David Candlin (Computer liason with RHEL)Lance Vick Trevor Priest (now Senior Lecturer Exeter Univ)Peter Osborne (now retired)Ken Bowler (now Professor)

Research Fellows:Mladen Martinis (now Professor at Zagrev)Razmi (Pakistan)......

Page 7: Tait Institute of Math Phys Peter Guthrie Tait 1831 – 1901 Chair of Natural Philosophy at Edinburgh Hamilton's Quaternions Theory of Knots with Maxwell

Research Students

Diploma in theTheory of Elementary Particle:Ananda Amatya (Nepal) (Ph. D)Klaus Büchner (Germany, now Prof. at Munich)Geoffrey Henderson (Northern Ireland) (Ph. D)Irshadullah Khan (Pakistan) (Ph. D)Melvin Roberts (Wales)Norman White (Scotland) (Ph. D)

Continuing Students:Alan Richie.........

Page 8: Tait Institute of Math Phys Peter Guthrie Tait 1831 – 1901 Chair of Natural Philosophy at Edinburgh Hamilton's Quaternions Theory of Knots with Maxwell

Research Students

Hans Grimmer (now Professor at Zurich)Alasdair Broadfoot (now at Napier Univ)Dikran Tcharakian (Armenian)David Wallace (Tait Professor; now Vice-

Chancellor at Leicester University)Alexander Newlands (research under Prof.

Euan Squires of Durham University)Komy ? (Egypt) ......

Page 9: Tait Institute of Math Phys Peter Guthrie Tait 1831 – 1901 Chair of Natural Philosophy at Edinburgh Hamilton's Quaternions Theory of Knots with Maxwell

Research Interests

Symmetry Groups for ParticlesLie Algebra, Unitary groups

Quantum Field TheorySpontaneous break down of symmetries

S-Matrix Theory Complex angular momentum, Regge Poles

Phase Analysis of Hadron Interactions Dispersion Relations & Current Algebras

Page 10: Tait Institute of Math Phys Peter Guthrie Tait 1831 – 1901 Chair of Natural Philosophy at Edinburgh Hamilton's Quaternions Theory of Knots with Maxwell

Sophus Lie (1842-1899)

Lie GroupsContinuous groups of

transformations (symmetry groups)

Howard Georgi, "Lie Algebras in Particle Physics", Second Edition, 1999

Sophus Class Library for Solving PDEs (Partial Differential Equations)

Page 11: Tait Institute of Math Phys Peter Guthrie Tait 1831 – 1901 Chair of Natural Philosophy at Edinburgh Hamilton's Quaternions Theory of Knots with Maxwell

Paul Dirac (1902-1984)

Nobel Prize 1933Anti-particles

Saw him in 1967 at Cambridge

Dirac EquationPositron

Page 12: Tait Institute of Math Phys Peter Guthrie Tait 1831 – 1901 Chair of Natural Philosophy at Edinburgh Hamilton's Quaternions Theory of Knots with Maxwell

Stephen Hawkins

Was Introduced to Stephen By Bruno Renner at Cambridge in 1967

I owe much to Bruno for helping me in my research in Particle Physics. Sadly Bruno died in a climbing accident in 1973

Page 13: Tait Institute of Math Phys Peter Guthrie Tait 1831 – 1901 Chair of Natural Philosophy at Edinburgh Hamilton's Quaternions Theory of Knots with Maxwell

Hans Bethe (1906-)

Nobel Prize 1967Nuclear energy in

starsAttended his

lecture in 1969 at ICTP, Trieste

Page 14: Tait Institute of Math Phys Peter Guthrie Tait 1831 – 1901 Chair of Natural Philosophy at Edinburgh Hamilton's Quaternions Theory of Knots with Maxwell

Murray Gell-Mann (1929-)

Nobel Prize 1969Classification of Particles and

their interactionsAttended his seminar in 1967

at ICTP, TriesteSU(3) matrices

Quarks

Page 15: Tait Institute of Math Phys Peter Guthrie Tait 1831 – 1901 Chair of Natural Philosophy at Edinburgh Hamilton's Quaternions Theory of Knots with Maxwell

Sheldon Glashow (1932-)Nobel Prize 1979

Unified theory of Weak and Electromagnetic interactions of elementary particles

Attended Lectures by him (and Sidney Coleman) at Erice 1966 Summer School

SU(2)xU(1)QCD

Page 16: Tait Institute of Math Phys Peter Guthrie Tait 1831 – 1901 Chair of Natural Philosophy at Edinburgh Hamilton's Quaternions Theory of Knots with Maxwell

Abdus Salam (1926-1996)Nobel Prize 1979

Unified theory of Weak and Electromagnetic interactions of elementary particles

Met in ICTP Trieste in 1967 & 1969

Helped me to return to Europe. (I held a three month long visiting research fellowship at ICTP in 1969)

Page 17: Tait Institute of Math Phys Peter Guthrie Tait 1831 – 1901 Chair of Natural Philosophy at Edinburgh Hamilton's Quaternions Theory of Knots with Maxwell

Stephen Weinberg (1933-)Nobel Prize 1979

Unified theory of Weak and Electromagnetic interactions of elementary particles

Attended a seminar by him at ICTP, Trieste, 1967

Peter Higgs rated his research papers very highly