PHYSICS and GROUP THEORY (M2, Heine)

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

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

Recommended Text(s) :

“Group Theory in Quantum Mechanics : An Introduction to its Present Usage”, Volker Heine,Dover, 2007.

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Lectures and Links :

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Lecture 1  (link)

Ch.1   Symmetry Transformation

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Lecture 2  (link)

Ch.2   The Quantum Theory of a Free Atom

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Lecture 3  (link)

Ch.3   The Representations of Finite  Groups

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Lecture 4 (link)

Ch.4   Further Aspects of the Theory of Free Atoms and Ions

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Lecture 5  (link)

Ch.5   The Structure and Vibrations of Molecules

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Lecture 6  (link)

Ch.6  SolidStatePhysics

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Lecture 7  (link)

Ch.7   Nuclear Physics

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Lecture 8  (link)

Ch.8   Relativistic Quantum Mechanics

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Lecture 9  (link)

Appendix A :  Matrix Algebra

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Lecture 10  (link)

Appendix B :  Homomorphism and Isomorphism

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Lecture 11  (link)

Appendix C :  Theorems on Vector Spaces and Group Representations

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Lecture 12  (link)

Appendix D :  Schur’s Lemma

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Lecture 13  (link)

Appendix E :  Irreducible Representations of Abelian Groups

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Lecture 14  (link)

Appendix F :  Momenta and Infinitesimal Transformations

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Lecture 15  (link)

Appendix G :  The Simple Harmonic Oscillator

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Lecture 16  (link)

Appendix H :  The Irreducible Representations of the Complete Lorentz Group

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Lecture 17  (link)

Appendix I :  Table of Wigner Coefficients (jj’mm’|JM)

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Lecture 18  (link)

Appendix J :  Notation for the Thirty-Two Crystal Point-Groups

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Lecture 19  (link)

Appendix K :  Character Tables for the  Crystal Point-Groups

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Lecture 20  (link)

Appendix L :  Character Tables for the Axial Rotation Group and Derived Groups

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