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PHYSICS and LIE THEORY (M1, Jones)

Lecture Topic : (Math Physics) PHYSICS and LIE THEORY (M1, Jones)

Prerequisites : Quantum Mechanics (Sen. M1); Special Relativity (Jun, Sen); Group Theory (Sen, M1); Classical Mechanics (Sen, M1);

Recommended Text(s) :

“Groups, Representations and Physics”, 2nd Edn., H. F. Jones, Institute of Physics, 1998.

Approx price new on Amazon.com (hard copy) :   $54

Approx price second hand on Amazon.com (hard copy) : $19

Availability free on eMule.com (e-format) : Yes

eMule search key word(s) : Jones Groups Representations

Lectures and Links :

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Lecture 1  (link)

Ch.1   Introduction

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Lecture 2  (link)

Ch.2   General Properties of Groups and Mappings

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Lecture 3  (link)

Ch.3   Group Representations

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Lecture 4  (link)

Ch.4   Properties of Irreducible Representations

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Lecture 5  (link)

Ch.5   Physical Applications

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Lecture 6  (link)

Ch.6   Continuous Groups SO(N)

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Lecture 7  (link)

Ch.7   Further Applications

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Lecture 8  (link)

Ch.8   The SU(N) Groups and Particle Physics

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Lecture 9  (link)

Ch.9   General Treatment of Simple Lie Groups

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Lecture 10  (link)

Ch.10   Representations of the Poincare Group

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Lecture 11  (link)

Ch.11   Gauge Groups

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Lecture 12  (link)

Appendix A : Dirac Notation in Quantum Mechanics

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Lecture 13  (link)

Appendix B : Eigenstates of Angular Momentum in Quantum Mechanics

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Lecture 14  (link)

Appendix C : Group-Invariant Measure for SO(3)

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Lecture 15  (link)

Appendix D : Calculation of Roots for SO(N) and Sp(2r)

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Lecture 16  (link)

Appendix E : Covariant Normalization and Relativistic Scattering

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Lecture 17  (link)

Appendix F : Lagrangian Mechanics

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Links to Other Lecturers on this Topic :

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