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Indian Institute of Science Education and Research Berhampur

PHY 435: Application of Group Theory in Physics

Symmetries and group theory.
Finite and Discrete groups: Representation; Vibration modes, Selection rules, Lattice symmetries, Band structure.
Continuous groups: Lie groups and Lie algebras, Representation, Roots and Weights, Dynkin diagrams, SU(2), SO(3), SU(3).

References:

• A. Zee, Group Theory in a Nutshell for Physicists
• Palash B. Pal, A Physicist’s Introduction to Algebraic Structures
• P. Ramadevi and Varun Dubey, Group Theory for Physicists: With Applications
• H. Georgi, Lie Algebras in Particle Physics
• M. Hamermesh, Group Theory and its Applications to Physical Problems
• J. F. Cornwell, Group Theory in Physics, Vol. I & II
• 7. S. Mukhi and N. Mukunda, Introduction to Topology, Differential Geometry and Group Theory for Physicists

Prerequisites:

• PHY 304

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