Group Theory for Physicists
Zhong-Qi Ma
- 2nd Ed. World Scientific Low Price Edition
- New Jersey : World Scientific, 2019.
- xx, 635 pages : ill.; 24 cm
Review on linear algebras Group and its subsets Theory of representations Permutation groups Three-dimensional rotation group Symmetry of crystals Lie groups and Lie algebras Gel'fand's method and its generalization Unitary groups Real orthogonal groups Lorentz groups Symplectic groups
This textbook explains the fundamental concepts and techniques of group theory by making use of language familiar to physicists. Calculation methods in the context of physics are emphasized. New materials drawn from the teaching and research experience of the author are included. The generalized Gel'fand's method is presented to calculate the matrices of irreducible representations of the simple Lie algebra and its Clebsch-Gordan coefficients. This book is for graduate students and young researchers in physics, especially theoretical physics. It is also for graduate students in theoretical chemistry.