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| Ziman J.M. — Elements of Advanced Quantum Theory |
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| Предметный указатель |
Field, spinor 193
Field, vector 183 187
Fine structure constant 44
First sound 164
Fluctuation—dissipation theorem 154
Fock space 38
Foldy — Wouthuysen representation 196
Force, Coulomb 28
Force, Lorentz 180 200
Force, range of 207 211
Force, relativistic 177
Force, Yukawa 26—28 67 210
Form factor 43—45 82
Fourier transform, continuum 13
Fourier transform, cubic lattice 9 10 122
Fourier transform, linear lattice 6 238
Fourier transform, space-time 181 198
Fourier transform, time/energy 108 114 119 149 150
Galilean in variance 241
Gauge invariance 21 31 180—182 192 241 249
Generator, group 239 244 248 256
Gradient, 4-vector 177 179 180 193
grand canonical ensemble 99
Graph see “Diagram”
Gravitational field 21
Green function 94—134 (see also “Correlation function” “Density “Propagator” “Resolvent”)
Green function, Born series for 124—126
Green function, causal 110 119 121 123 125 129 133 184—186
Green function, double time 106—117
Green function, equation of motion of 116
Green function, hierarchy of 116
Green function, imaginary part of 109 112
Green function, lattice 110 119
Green function, non-causal 130
Green function, one-particle 104—107 108 114
Green function, Poisson equation 119
Green function, pole of 108 109 110 114 121 123 132 150
Green function, retarded 110 119 123
Green function, scattering theory 114 124—130 131—134 171
Green function, Schrodinger equation 118 120 123 185 198
Green function, space representation of 122—123 126 131-134
Green function, spectral representation of 108 132
Green function, temperature 101 112 164
Green function, three-particle 117
Green function, time-independent 118—123 131—134
Green function, two-particle 112—116 140 145 147 150 171
Green function, wave equation 120 123
Green's theorem 17
Ground state see also “Vacuum”
Ground state, antiferromagnetic 170
Ground state, boson gas 167
Ground state, energy of 178 111 143
Ground state, fermion gas 49 107 143 150
Ground state, harmonic oscillator 4 5
Ground state, many-body 140 145
Ground state, polaron 47
Ground state, superconducting 173
Group theory 213—257 (see also “Representation” “Symmetry”)
Group theory, angular momentum 241—247
Group theory, crystal field 228 233
Group theory, elementary particle 202 241 257
Group theory, quantum mechanics 218 241
Group theory, relativity 187 248
Group theory, solid state 237
Group velocity 165
Group,  219 223 224 228 232—234 247
Group, Abolian 236 242 256
Group, abstract 215 216 221 238
Group, continuous 213 235 237—257
Group, factor 231
Group, finite 214 219 235
Group, Lie 239 243
Group, Lorentz 193 194 243 247 249
Group, permutation 220 224
Group, point 237
Group, product 231—233
Group, rotation 241-7 251 254
Group, space 237
Group, SU(2) 251—254 256
Group, SU(S) 254—257
Group, topological 238
Group, translation 235—241
Group, trigonal 220 223 232 247
Group, U(l) 251
Group, unitary 250 254
Gupta — Bleuler formalism 183
Hamilton's equations 59
Hamilton's principle 16 199
Hamiltonian (Hamiltonian density), boson gas 167
Hamiltonian (Hamiltonian density), charged boson 29
Hamiltonian (Hamiltonian density), classical 1 6 7 18
Hamiltonian (Hamiltonian density), classical wave 18 20 199
Hamiltonian (Hamiltonian density), diagonalization of 65 217
Hamiltonian (Hamiltonian density), elastic continuum 12 18
Hamiltonian (Hamiltonian density), electrodynamics 200 201
Hamiltonian (Hamiltonian density), electron-phonon interaction 44
Hamiltonian (Hamiltonian density), electron-photon interaction 44 201
Hamiltonian (Hamiltonian density), elementary particle interaction 22—24 39 41 69 201—202
Hamiltonian (Hamiltonian density), fermion gas 140 158 171
Hamiltonian (Hamiltonian density), fermion-boson interaction 43
Hamiltonian (Hamiltonian density), harmonic oscillator 1 59
Hamiltonian (Hamiltonian density), interaction representation 61
Hamiltonian (Hamiltonian density), Klein-Gordon equation 21
Hamiltonian (Hamiltonian density), lattice dynamics 10
Hamiltonian (Hamiltonian density), linear chain 6
Hamiltonian (Hamiltonian density), moving frame 165
Hamiltonian (Hamiltonian density), Rayloigh mattering 24
Hamiltonian (Hamiltonian density), rolativstie field 200
Hamiltonian (Hamiltonian density), Schrodinger equation 38
Hamiltonian (Hamiltonian density), strong interaction 202
Hamiltonian (Hamiltonian density), symmetry of 214 216 241
Hamiltonian (Hamiltonian density), weak interaction 202
Hamiltonian (Hamiltonian density), Yukawa force 26
Hamiltonian (Hamiltonian density), “hole” 49
harmonic oscillator 1—5 59
Hartree method 138—140 142 148 160
Hartree — Fock method 140—147 149 154 155 158 164 174
Heat conduction 101
Heisenberg representation 56—61 106 184 197
Helium, liquid 22 135 167 170
Hermite polynomials 5
Hermitian conjugation, boson field operator 5 29 30 198
Hermitian conjugation, density matrix 96 151
Hermitian conjugation, fermion field operator 37 198
Hermitian conjugation, Hamiltonian 122
Hermitian conjugation, K-matrix 130 148
Hermitian conjugation, observable 57 241
Hermitian conjugation, phonon field operator 7 10
Hermitian conjugation, spinor 195
Hermitian conjugation, T-matrix 128 130 148
Hilbert transform 208 212
Hole, exchange 142
Hypercharge 254
Hypercomplex algebra 195
Hyperon 249
Idempotent operator 54 97
Imperfection 122
Impurity 122 131 148
Inner product 218
Interaction representation 60—62 64 67 71 106 197 201
Interaction, boson exchange 26—28 67 77 145 185
Interaction, boson-boson 167 169
Interaction, boson-fermion 43—48 66 69 76 82 84 202
Interaction, coulomb 137 145 170
Interaction, electron-electron 24 41 69 170
Interaction, electron-phonon 24 43—47 67 76 145 170
Interaction, electron-photon 44 200—203
Interaction, electron-positron 78
Interaction, fermion-fermion 41 50 67 77 85 137 144 147 170
Interaction, Green function for 114
| Interaction, nucleon-nucleon 26 67 137
Interaction, particle-antiparticle 78
Interaction, quasi-particle 50 163
Interaction, screened 150 152 156—157
Interaction, strong 202 212 252 256
Interaction, weak 192 202
interval 176 177
Invariance see also “Group” “Symmetry”
Invariance, Galilean 241
Invariance, gauge 21 31 180—182 192 241 249
Invariance, Lorentz see “Relativistic”
Invariance, relativistic 21 69 175 176 241 249
Invariance, rotational 175 188 191 214 241
Invariance, space-inversion 192
Invariance, time-reversal 154 190 192
Invariance, translational 6 42 108 151 160 165 241
Irreducible diagram 90 93 111 115 156
Irreducible representation 218 221 232 236 245 253 255 256
Irreversible processes 101 104 149 152 154
Isomorphous group 250 252
Isospin 250—252 254 256
Isotopic spin see “Isospin”
Josephson tunnelling 170
K-matrix 130 148 158
k-space 9 48 165
Kinematics, relativistic 203—206
Klein — Gordon equation 21—23 29 183—187 191—192 194 196 198—189
Kramers — Kronig relations 208 (see also “Dispersion relations”)
Kubo formula 101—104 149 154
Ladder diagram 147 158
Lagrange's equations 17
Lagrangian, charged boson 29 249
Lagrangian, classical field 15 202
Lagrangian, Dirac equation 200
Lagrangian, electrodynamics 199 200
Lagrangian, Klein — Gordon equation 21 39
Lagrangian, Schrodinger equation 20
Lamb shift 92
Landau singularity 211
Landau theory 162—166
Laplacian 181
Lattice dynamics 6—12 24 122
Lattice, crystal 9 110 232 235 237
Lehman spectral representation 109
Lie algebra 243 257
Lie group 239—257
Lifetime 110
Light cone 186
Light, velocity of 176 181
Linear chain 5—9 235 238
Linear response coefficient 104 149 150
Linked cluster theorem 145
Liouville's equation 99
Lippmann — Schwinger equation 125 126 128 130 133
Liquid, classical 113 117 153 167;
Liquid, quantum 135 162—166 167
Lorentz force 180 200
Lorentz gauge condition 180 181 182
Lorentz group 193 195 243
Lorentz in variance see “Relativistic invariance”
Lorentz transformation, bi-spinor 193
Lorentz transformation, current 180
Lorentz transformation, Dirac matrix 194-6
Lorentz transformation, electromagnetic field 178-9
Lorentz transformation, gauge 182
Lorentz transformation, momentum/energy 177
Lorentz transformation, proper 190 192 202
Lorentz transformation, space/time 176
Lorentz transformation, spinor 190 247
Magnetic field 104
magnetic moment 101
Magnon 12 15 164 170
Mandelstam diagram 206 209 210
Mandelstam representation 212
Many-body system 135—174
Many-body system, BCS theory of 170—174
Many-body system, Bogoliubov method for 167 172
Many-body system, boson 167—170
Many-body system, Brueckner method for 146—148 158
Many-body system, collective modes of 164 169
Many-body system, correlation effects in 138 143 146 150 154 160 164
Many-body system, current in 166
Many-body system, density matrix of 105 112
Many-body system, diagrammatic theory of 144 155—158
Many-body system, dielectric response function of 148—162
Many-body system, exchange effects in 138 139 141—143 146
Many-body system, fermion 136 140 162—166
Many-body system, ground state energy of 137 143 148 162 173
Many-body system, Hartree method for 138—140 148 160
Many-body system, Hartree — Fock method for 140—146 148 154 158
Many-body system, Landau theory of 162—166
Many-body system, quasi-particle excitations of 48—52 108 115 152 162—166 173—174
Many-body system, random phase approximation for 158—162 166
Many-body system, superconducting 170—174
Many-body system, wave function of 105 107 140 142 166 232
Mass, effective 39 47 77 79
Mass, neutrino 192
Mass, photon 183
Mass, polar on 47
Mass, range related to 28 211
Mass, renormalization of 91 201
Mass, rest 21 177 183 203
Matrix mechanics 60
Maxwell's equations 178—181 192 199
Meissner effect 170
Meson 22 23 26—28 43 210 249
Metals 48 78 104 131 135 144 148 153 162 170 203
Metric tensor 176 178
Michelson interferometer 176
Minkowski velocity 177
Mobility 77
Molecule 135 140 143 232
Momentum conservation, group theory 241
Momentum conservation, many-body 146
Momentum conservation, particle interaction 23 41 77 82 85 210
Momentum conservation, relativistic 177 203 210
Momentum density 12 14
Momentum operator 1 6 7 10 37 96 164 191
Momentum representation 80—85 108
Momentum transfer 205 209
Momentum, canonical 201
Momentum, field 18 29
Momentum, group theory of 239
Momentum, Heisenberg representation of 59
Momentum-energy 4-vector 177 183 193 196
Multiplication table, group 216 218 219 221 223 243
Neutrino 193
Neutron 114 153 249 250
Newton's Laws 177
Normal form 70 73 172
Normal modo 5-12 122
Normal product 71-3 84
nuclear matter 48 110 131 135 144
Nucleon, Dirac theory of 187
Nucleon, ebarge of 250 251
Nucleon, in nuclear matter 48 135 144
Nucleon, interactions of 41 43 202 203 210 211
Nucleon, scattering by nuclei 131
Nucleon, self-energy of 26 47
Nucleon, spin of 248
Nucleon, Yukawa force 26 210
Observable 95 97 218 241
Occupation number representation 1 3 5 11 31–33 36 38
Ohm's law 101
Onsager relations 101 104
Optical absorption 150
Optical mode 45
Order, group 221 223 224
Orthogonality theorem 222–224 225 228 238 246 247
Outer product 99 223
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