|
|
 |
| Авторизация |
|
|
|
| Поиск по указателям |
|
|
|
|
|
|
|
 |
|
|
|
| Meijer P.H.E. — Group Theory: The Application to Quantum Mechanics |
|
|
|
| Предметный указатель |
Affine 1
Angles Euler 191
Angular momentum, addition rules of 153
Angular momentum, operators 184
Angular momentum, Quantum number 142
Axis (axes) see also "Heisenberg" "Schroedinger"
Axis (axes) of quantization 249
Axis (axes), complete system of orthogonal axes 94
Axis (axes), fixed 40
Axis (axes), main 11 50
Bilinear form see form
Binding, covalent 208
Binding, ionic 208
Binding, metallic 208
Bloch theorem 217
Bra see "Unit" "Vectors"
Bravais lattices 223
Brillouin zone(s) 54 213 219
Cell, conventional unit 206
Cell, unit 213
Character(s) 86
Character(s) of a representation 85
Character(s) of elements 98
Character(s) of the matrices 234
Character(s), primitive 86
Character(s), tables 95 97 98
Character(s), theory of 99
Class (classes) 67 98 101
Class (classes) of permutations 71
Class (classes), function of 85
Class (classes), number of 87
Class (classes), sum of a 94 95
Classical waves see "Waves"
Clebsch — Gordan coefficient(s) 181 190
Clebsch — Gordan formula 152
Clebsch — Gordan series 187
Coefficient(s) see "Fourier"
Coefficient(s), Clebsch — Gordan 181 190
Coefficient(s), Racah 193
Coefficient(s), structure 94 95 98
Coefficient(s), Wigner 181
Combination, linear ... of atomic orbitals 209
Commutative operations 62
Commutator 139 140
Commute 14
components see "Spectral"
Conditions, integrability 139
Conditions, periodic boundary 211
Configuration, space 34 35 110
Configuration, unstable 261
Congruency 69
Conjugated see "Transformations"
Conjugation 221
Conjugation, complex 256
Conventional unit cell 206
Convergence 21
Coordinates, homogeneous 133
Coordinates, normal 261
Correspondence, one-to-one 61
Coset 65 222
Coset, left 65
Coupling between levels 53
Coupling, Russell — Saunders 161
Coupling, spin-orbit 190 246
Cross over 54
Cycle (cycles) 70
Cycle (cycles), notation with 100
Cycle (cycles), order of 70
Darstellung 74
Decomposition 76
Degeneracy 23 235
Degeneracy, accidental 224 264
Degeneracy, essential 55 119 223
Degeneracy, exchange 59 120
Degeneracy, quasi 49 55
Determinant, secular 239
Diagonalization 264
Dirac delta function 24
Divisor, normal 67
Doublet(s), Kramers 253 257
Effect(s), gyro-magnetic 157
Effect(s), Paschen — Back 172
Effect(s), Stark 167
Effect(s), Zeeman 156 168 183
Eigenfunctions 21 32
Eigenfunctions, symmetry adapted 233
Eigenvalues 21 32
Eigenvalues, degenerate 113
Eigenvalues, spectrum of 22
Eigenvectors 21 175
Element(s) of the space group 202
Element(s), complex of 65
Element(s), diagonal 105
Element(s), idempotent 97 98
Element(s), reduced matrix 192
Element(s), screw 202
Element(s), unit 203
Energy splitting 245
Equation, Schroedinger 33 110
Equation, secular 51
Equivalent 5 74 see
Euclidean 7
Euler see "Angles"
Factor, Lande, g- 149 171 249
Factor, phase 38
Field, electric 254
Field, magnetic 254
Form, bilinear 8 21 258
Form, box 99 115
Form, diagonal 11
Form, Hermitian 80
Form, quadratic 9
Fourier coefficients 18
Fourier expansion 41
Fourier series 24
Function(s) of a class 86
Function(s), angular wave 240
Function(s), Bloch 218
Function(s), free electron wave 218
Function(s), fundamental basis 17
Function(s), orthogonal 92
Function(s), square integrable 17
Function(s), wave 29ff 209
Golden-rule 47
Group see also "Little group"
Group algebra 88
Group space 88 92 206
Group table 63
Group, abelian 62 121 167 204 207
Group, abstract 241
Group, additive 62
Group, additive submitted to a system of operators 63
Group, additive with multiplicators 63
Group, continuous 138
Group, crystalline point 198
Group, cubical 234
Group, cyclic 64
Group, double 241
Group, factor 68 222
Group, full rotation 198
Group, homomorphic 72
Group, permutation 100; 110
Group, point 199 228
Group, postulates 61
Group, rotation(s) 110 133 142
Group, symmetric, symmetry 60 105
Group, three-dimensional point 229
Group, unitary linear 145
Hamiltonian, spin- 248
Harmonic(s), spherical 184 190 239
| Heisenberg axes 42
Heisenberg matrices 43
Heisenberg representation 42
Hermitian 9 40
Hermitian form 80
Hermitian matrix 11
Hermitian operator 21 22 37 40
Hilbert space 41
Hilbert space, rays of see "Ray"
Holohedral isomorphism 72
Homomorphic groups 72
Homomorphic matrices 97
Hund’s rules 246
Idempotent(s) 102
Idempotent(s) elements 97
Idempotent(s), essential 103
Idempotent(s), induced by 105
Identity 60 61
Intensity 30
Interaction(s), strong 166
Interaction(s), weak 166
Invariant(s) 112
Invariant(s) operator 251
Inverse(s), inversion 60 62 64 164
Irreducible representations see "Representations"
Irreducible representations, system of 83
Isomorphic 72
Isomorphic connection 74
Isomorphic matrices 97
Isomorphism 83 84
Isomorphism, holohedral 72
Isomorphism, merohedral 72
Ket see also "Unit" "Vectors"
Ket, projected 10
Kramers doublets 253 257
Lande see "Factor"
Laporte, rule of 165
Lattice(s), Bravais 223
Lattice(s), inverse or reciprocal 213 218
Law, associative 62 204
legendre see "Polynomials"
Length 6
Length of a vector 28 80
Linearly independent 1
Little group of the first kind 222
Little group of the second kind 221
Mappings 75 82 88
Matrix (Matrices), adjoint 8
Matrix (matrices), diagonal 99
Matrix (matrices), Heisenberg 43
Matrix (matrices), Hermitian 11 144
Matrix (matrices), homomorphic 97
Matrix (matrices), inverse 4
Matrix (matrices), isomorphic 97
Matrix (matrices), mapping 2
Matrix (matrices), mechanics 15
Matrix (matrices), Pauli 144
Matrix (matrices), projection 64
Matrix (Matrices), rectangular 82
Matrix (matrices), secular 50 264
Matrix (matrices), step-wise 14 85
Matrix (matrices), sum-of-a~class 95
Matrix (matrices), transformation 1 see
Matrix (Matrices), unit 2
Matrix (matrices), unitary 11 20
Metric 6
Moment, magnetic 257
Monomials 173 178
Multiplet(s) 161 250
Multiplication rule 3
Multiplicators see "Group additive"
Non-holonomic 140
Norm 6 16
Norm of a vector 28
Norm with cycles 100
Numbers, hypercomplex 88 103 105 106
Numbers, rational 62
Observable 32 38
Observable, physical 40
octahedron 201
Operations from the right to the left 71
Operations, the P.Q- 102
Operator(s) 3 61 see
Operator(s), Hermitian see "Hermitian"
Operator(s), irreducible tensor 184
Operator(s), linear 19 37
Operator(s), nuclear spin 252
Operator(s), projection 94 97 99 104 237
Operator(s), time reversal 257
Orbit 221
Orbital motion, "frozen in" 246
Order 62
Order of a cycle 70
Orthogonal see "Vectors"
Orthogonality relations 89 91
Orthonormal 17
Orthonormality of character systems 100
Parameter group, unitary three- 131
Parity 164
Parseval, formula of 19
Partitio Numerorum 101
Paschen — Back effect 172
Pauli principle 106
Permutation (permutations) 59 221
Permutation (permutations) group 100
Permutation (permutations), class of 71
Permutation (permutations), cyclical 101
Permutation (permutations), even or odd 71
Permutation (permutations), product of two 60
Perturbation theory 47
Polynomials, independent 185
Polynomials, Legendre 185
Polynomials, orthogonal 185
primitive see "Character"
Principle, complementarity 31
probability 39
PRODUCT 203
Product of two groups 206
Product, antisymmetrical 189
Product, direct 151
Product, scalar 7 16 28
Product, semidirect 207 242
Product, weak direct 207
Projection 88
Projection operators 97
Projection, even odd 102
Projection, stereographic 132
Quadratic form 9
Quantity, physical 40
Quantum mechanical waves see "Waves"
Racah coefficient 193
Ray(s), of the function space 38
Reduction, complete 76
Reflection(s) 124 203
Relation(s), orthogonality 89 91
Relation(s), orthogonality, commutation 186
Relation(s), orthogonality, compatibility 225
Representation 74
Representation of rotation group 131
Representation of the group 113
Representation, alternating 89
Representation, alternating, characters of 85 98
Representation, alternating, conjugate 221
Representation, alternating, interaction 247
Representation, alternating, irreducible representation projecting out of a reducible 98
Representation, alternating, multiple occurring 187
Representation, alternating, non-equivalent irreducible 87
Representation, alternating, of the first kind 258
Representation, alternating, of the second kind 252 258
Representation, alternating, of the third kind 258
|
|
|
| Реклама |
|
|
|
|
|
О проекте