Group Theory for PhysicistsWorld Scientific, 2007 - 491 páginas This textbook explains the fundamental concepts and techniques of group theory by making use of language familiar to physicists. Application methods to physics are emphasized. New materials drawn from the teaching and research experience of the author are included. This book can be used by graduate students and young researchers in physics, especially theoretical physics. It is also suitable for some graduate students in theoretical chemistry. |
Contenido
1 REVIEW ON LINEAR ALGEBRAS | 1 |
2 GROUP AND ITS SUBSETS | 17 |
3 THEORY OF LINEAR REPRESENTATIONS OF GROUPS | 49 |
4 THREEDIMENSIONAL ROTATION GROUP | 107 |
5 SYMMETRY OF CRYSTALS | 185 |
6 PERMUTATION GROUPS | 231 |
7 LIE GROUPS AND LIE ALGEBRAS | 277 |
8 UNITARY GROUPS | 353 |
9 REAL ORTHOGONAL GROUPS | 399 |
10 THE SYMPLECTIC GROUPS | 461 |
Appendix A Identities on Combinatorics | 473 |
Appendix B Covariant and Contravariant Tensors | 475 |
Appendix C The Space Groups | 477 |
Bibliography | 481 |
487 | |
Otras ediciones - Ver todas
Group Theory for Physicists: With Applications Pichai Ramadevi,Varun Dubey Vista previa limitada - 2019 |
Términos y frases comunes
2-fold axes adjoint representation angle angular momentum antisymmetric axis basis tensors basis vectors block weight diagram Bravais lattice calculated called character table coefficients column commutable components conjugate contains coordinate correspondence coset crystal lattice crystal system crystallographic point group denoted diagonal dimension direct product dominant weight Due to Eq Dynkin diagram eigenfunction eigenvalue equation equivalent finite group given in Eq group space group table group theory highest weight idempotent identical element inequivalent integer invariant subgroup inverse irreducible representation isomorphic left ideal matrix entries multiplication rule obtains orthonormal parameters quantum quark real orthogonal reducible representation D(G representation matrix respectively rotation satisfies similarity transformation simple Lie algebra simple roots SO(N space groups standard tensor Young standard Young SU(N symmetric group symmetric transformations tensor subspace tensor Young tableaux Theorem traceless unitary vector of crystal wave functions Young operator Young pattern Young tableau μν
Referencias a este libro
Problems & Solutions in Group Theory for Physicists Zhong-Qi Ma,Xiao-Yan Gu Vista previa limitada - 2004 |