PHYSICS AND LIE THEORY (M1, Lipkin)

Lecture Topic : (Math Physics) PHYSICS AND  LIE THEORY (M1, Lipkin)

Prerequisites : Abstract Algebra (Sen, M1); Quantum Mechanics (Sen, M1);

Recommended Text(s) :

“Lie Groups for Pedestrians”, Harry J. Lipkin,North Holland, 2065.

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Lectures and Links :

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Lecture 1  (link)

Ch.1   Introduction

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Lecture 2  (link)

Ch.2   Isospin : A Simple Example

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Lecture 3  (link)

Ch.3   The Group SU(3) and Its Application to Elementary Particles

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Lecture 4  (link)

Ch.4   The Three-Dimensional Harmonic Oscillator

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Lecture 5  (link)

Ch.5   Algebras of Operators Which Change the Number of Particles

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Lecture 6  (link)

Ch.6   Permutations, Bookkeeping and Young Diagrams

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Lecture 7  (link)

Appendix A :   Construction of the SU(3) Multiplets by Combining Sakaton Triplets

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Lecture 8  (link)

Appendix B :   Calculations of SU(3) Using an SU(2) Subgroup : U-Spin

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Lecture 9  (link)

Appendix C :   Experimental Predictions from the Octet Model of Unitary Symmetry

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Lecture 10  (link)

Appendix D :   Phases, a Perennial Headache

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Links to Other Lecturers on this Topic :