Group Theory In Physics: Problems And SolutionsWorld Scientific Publishing Company, 25 juin 1991 - 124 pages This solutions booklet is a supplement to the text book 'Group Theory in Physics' by Wu-Ki Tung. It will be useful to lecturers and students taking the subject as detailed solutions are given. |
Table des matières
| 1 | |
Chapter 3 Group Representations | 11 |
Chapter 4 General Properties of Irreducible Vectors and Operators | 27 |
Chapter 5 Representations of the Symmetric Groups | 35 |
Chapter 6 OneDimensional Continuous Groups | 43 |
Chapter 7 Rotations in 3Dimensional SpaceThe Group SO3 | 45 |
Chapter 8 The Group SU2 and More About S03 | 59 |
Chapter 9 Euclidean Groups in Two and ThreeDimensional Space | 73 |
Chapter 10 The Lorentz and Poincare Groups and SpaceTime Symmetries | 83 |
Chapter 11 Space Inversion Invariance | 97 |
Chapter 12 Time Reversal Invariance | 103 |
Chapter 13 FiniteDimensional Representations of the Classical Groups | 107 |
Expressions et termes fréquents
2-dimensional representation action amplitudes angular momentum basis arbitrary basis tensors basis vectors canonical basis character table Clebsch–Gordan coefficients components compute defined by Eq definition denote Derive diagonal dihedral group direct product eigenstates eigenvalues eigenvectors equivalence classes explicit explicitly expression factor group given by Eq GL(m helicity hermitian identity implies independent inequivalent intentionally left blank invariant subgroups invariant subspace invariant tensor irreducible representations isomorphic left blank Chapter Lie algebra linear combination Lorentz group Lorentz transformations matrix element matrix multiplication matrix realization Multiply both sides notation Observe orthogonality orthonormality permutations Poincaré group previous problem Problem 3.1 projection operators Prove rank-2 anti-symmetric tensors rank-2 tensors recursion relations representation matrices result rewrite rotations ſan Similarly ſº SOLUTION space of rank-2 span spherical harmonics step follows subgroups of order summation symmetric tensors Theorem trivial unitary vector space