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PHYSICS and GROUP THEORY (M2, Sternberg)

Lecture Topic : (Math Physics) PHYSICS and GROUP THEORY (M2, Sternberg)

Prerequisites : Quantum Mechanics (M1); Finite Group Theory (M1); Lie Algebras (M1);

Recommended Text(s) :

“Group Theory and Physics”, S. Sternberg,CambridgeUniversityPress, 1994.

Approx price new on Amazon.com (hard copy) :   $78

Approx price second hand on Amazon.com (hard copy) : $40

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

eMule search key word(s) : Sternberg, Group Theory

Lectures and Links :

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Lecture 1  (link)

Ch.1   Basic Definitions

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Lecture 2  (link)

Ch.2   Representation Theory of Finite Groups

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Lecture 3  (link)

Ch.3    Molecular Vibrations and Homogeneous Vector Bundles

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Lecture 4 (link)

Ch.4   Compact Groups and Lie Groups

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Lecture 5  (link)

Ch.5   The Irreducible Representations of SU(n)

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Lecture 6  (link)

Appendix A : The Bravais Lattices and the ArithmeticalCrystalClasses

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Lecture 7  (link)

Appendix B : Tensor Product

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Lecture 8  (link)

Appendix C : Integral Geometry and the Representation of the Symmetric  Group

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Lecture 9  (link)

Appendix D : Wigner’s Theorem on Quantum Mechanical Symmetries

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Lecture 10  (link)

Appendix E : Compact Groups, Haar Measure, and the Peter-Weyl Theorem

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Lecture 11  (link)

Appendix F : A History of 19th Century Spectroscopy

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Lecture 12  (link)

Appendix G : Characters and Fixed Point Formulas for Lie Groups

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