 157
 ,  87
 function 58
 62
action 128
Adjoint 26
Anticommutator 293
Anticommute 149
Antilinear 21
Antisymmetrical ket, state 208
Antisymmetrizing operator 248
Bar notation 20
Basic bras 53
Basic kets 57
Belonging to an eigenvalue 30
Bohr’s frequency condition 117 177
Bose statistics 210
Boson 210
Boundary condition 155
Bra 19
Canonical coordinates and momenta 85
Causality 4
Central field 152
Character (of a group) 215
Class of permutations 212
CLOSED state 156
Combination law 1 117
Combination of angular momenta 147
Commutation relation 84
Commute 24
Compatible observations 52
Complete set of bras 53
Complete set of commuting observables 57
Complete set of states 36
Conjugate complex 20
Conjugate complex linear operator 27
Conjugate imaginary 21
Conservation laws 115 143
Constant of the motion 115
Contact transformation 105
Contravariant 254
Coulomb interaction energy 305
Covariant 254
Cut-off 308
De Broglie waves 120
Degenerate system 171
Dependent 16 17
Diagonal element 68
Diagonal in a representation 74
Diagonal matrix 68 69 70
Diagonal with respect to an observable 77
Displacement operator 102
Dual vector 18
Eigen 30
Eigenfunction 117
Einstein’s photo-electric law 7
Element of a matrix 68
Even permutation 208
Exclusion principle 211
Exclusive set of states 215
Fermi statistics 210
Fermion 210
Fock’s representation 139 228
Functional 291
Gibbs ensemble 131
Green’s Theorem 191
Group velocity 120
Half-width of absorption line 204
Hamilton — Jacobi equation 122
Hamiltonian 113 114
Heisenberg dynamical variable 113
Heisenberg picture 112
Heisenberg representation 117
Hermitian matrix 68 69
Hilbert space 40
Holes 252
Identical permutation 212
Improper function 58
Independent 16 17
Intermediate state 175
Ket 16
Kramers — Heisenberg dispersion formula 248
Lagrangian 128
Land ’s formula 184
Length of a bra or ket 22
Linear operator 23
Longitudinal energy 286 290
Longitudinal field 277
Magnetic anomaly of the spin 166
Magnetic moment of electron 165 266
| Magnitude of angular momentum 146
Matrix 68 69
Maxwell’s equations 290 299
Momentum representation 96
Multiplet 182 223
No-particle state 308
Non-degenerate system 171
Normal order 310
Normal state 139
Normalization 22
Observable 37 288
Observable having a value 46
Observable having an average value 46
Odd permutation 208
Orbital angular momentum 142 148
Orbital variable 220
Orthogonal bras, kets 21
Orthogonal representation 54
Orthogonal states 22 35
Orthogonality theorem 32
Oscillator 136 227
P.B. 85
Pauli’s exclusion principle 211
Permutation 208 211
Phase factor 22
Phase space 131
Physical variable 288
Planck’s constant 87
Poisson bracket 85
Positive square root 45
Positron 274
Probability amplitude 73
Probability coefficient 180
Probability current 260
probability density 258
Probability of observable having a value 47
Proper-energy 179
quantum condition 84
Radial momentum 153
Real linear operator 27
Reciprocal of an observable 44
Reciprocal permutation 212
Reciprocity theorem 76
Relative probability amplitude 73
Representation 53
Representative 53 67
Rotation operator 142
Scatterer 185
Schr dinger dynamical variable 113
Schrdinger picture 111
Schrdinger’s representation 93
Schrdinger’s wave equation 111
Second quantization 230 251
Selection rule 159
Self-adjoint 27
Similar permutations 212
Simultaneous eigenstate 49
Sommerfeld’s formula 272
Spherical harmonic 154
Spherical symmetry 143
Spin angular momentum 142 267
Spin of electron 149 266
Square root of an observable 44
Standard ket 79
State 11
Stateof absorption 187
Stateof motion 12
Stateof polarization 5
Stationary state 116
Stimulated emission 177 238
Strong equation 289
Superposition of states 12
Supplementary condition 287
Symmetrical ket, state 208
Symmetrical representation 208
Symmetrizing operator 225
Time-dependent wave function 111
Transformation function 75
Translational state 7
Transverse energy 286 291
Transverse field 277
Uncertainty principle 98
Unit matrix 68 69
Unitary 104
Wave equation 111
Wave function 80
Wave mechanics 14
Wave packet 97 121
Weak equation 289
Weight function 66
Well-ordered function 130
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