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Ziman J.M. — Elements of Advanced Quantum Theory
Ziman J.M. — Elements of Advanced Quantum Theory

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Название: Elements of Advanced Quantum Theory

Автор: Ziman J.M.

Язык: en

Рубрика: Физика/Квантовая теория поля/Учебники/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1969

Количество страниц: 269

Добавлена в каталог: 11.10.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abelian group      236 242 256
Acceleration      177
Acoustic mode      169 173
Adiabatic perturbation      64 144 150
Advanced wave      119 123 128
Analyticity      208-210
angular momentum      see also “Spin”
Angular momentum, addition of      246
Angular momentum, commutation relations of      195 243
Angular momentum, group theory of      241—247
Angular momentum, half-integral      248
Angular momentum, isospin analogy      251
Angular momentum, Lorentz transformation of      191
Angular momentum, representation of T-matrix      127 129 130 133
Angular momentum, total      244
Anharmonic term      24
Annihilation operator (annihilator), boson      3 8 11 14 19 22 36
Annihilation operator (annihilator), fermion      34—36
Annihilation operator (annihilator), Heisenberg representation of      59
Annihilation operator (annihilator), hole      197
Annihilation operator (annihilator), quasi-particle      49 60
Anticommutator      35 (see also “Commutation relations”)
Antiferromagnetism      170
Antiparticle      31 48—52 60 78—79 81 163 204
Antisymmetric tensor      179 196 253 255
Antisymmetric wave function      32 142 233 251
Atoms, many-electron states in      135 137 139 143
Atoms, one-electron states in      110 228
Atoms, two-electron states in      232—234 247
Band structure      237
Bardeen — Cooper — Schrieffer (BCS) theory      170-174
Barycentric energy      205 211
Baryons      31 254 256
BCS theory      170—174
Beta decay      202
Bethe — Salpeter equation      116 164 171
Bi-spinor      193 194
Binding energy      148
Bloch function      42 110 131 133 237
Bloch thoorom      236
Bogoliubov method      167—170 172
Boltzmann distribution      40 100 101 154
Boltzmann equation      104
Born approximation      40 65 128 210
Born series      124 126 127 129 147
Bose — Einstein condensation      167
Bose — Einstein statistics      26 40
Bosons, annihilation and creation of      3 8 11 29 36
Bosons, charged      28—31 187 199 202 249
Bosons, exchange force carried by      28 67 210
Bosons, fermion interaction with      24 26 43-48 75 200-202
Bosons, field quantization of      18-22 34 38 71 75 198 199
Bosons, gas of      167-170 172
Bosons, neutral      187
Bosons, propagator for      82 92 110 145 184 198
Bosons, pseudoscalar      202
Bosons, relativistic      183-187 197-199
Bosons, scattering of      24-6
Bosons, self-energy of      78 88
Bosons, statistics of      26 40
Bosons, vector      187
Bound state      86 115 121 133 171
Brillouin zone      9 13 237
Brillouin — Wigner series      53-56 65 93 117 124 125 130
Brueckner method      146-148 158
Bubble diagram      156-158 161
c-number      62 72
canonical ensemble      99 159
Causality, analyticity and      207-209
Causality, dielectric response function      149
Causality, Green function      110 119 121 123
Causality, propagator      72 198 208
Causality, relativistic      186 198 209
Causality, scattering      125 128 130 208
Cerenkov effect      46 77
Chambers formula      104
Channel      206 209
CHARACTER      225
Character table      227 228 236 246
Character, arithmetic of      226 231 233 237 246
Character, class      227 236 237 245
Character, continuous group      237 245
Character, orthogonality of      222-5 228 238 246—247
Charge, boson      28-31 249
Charge, classical electrodynamic      180—182 200—202
Charge, conservation of      31 241 250 254
Charge, field coupling constant      44 200
Charge, hole      51
Charge, independence of      252
Charge, isospin formalism for      250—251
Charge, renormalization of      201
chemical potential      100 136—137
class      226—230 236 245
Classical statistics      40 97 99 136
Clebsch — Gordan coefficient      247
Collective mode      164 169 173
Commutation relations, angular momentum      195 243
Commutation relations, annihilation and creation operators      3 7 11 13 35 59 168 184
Commutation relations, boson field operators      18 30 36 186
Commutation relations, conservation laws from      57 241
Commutation relations, Dirac matrices      195 243
Commutation relations, fermion field operators      37 70 106 117 142 198
Commutation relations, group elements      215 220 236
Commutation relations, group generators      243 257
Commutation relations, in perturbation theory      66 68 71 72
Commutation relations, position and momentum      1 6 10
Commutation relations, quasi-particle operators      49 172
Commutation relations, relativistic field operators      186 198
Commutator      see “Commutation relations”
Compatibility condition      243 244
Compton effect      76 90 203
Conductivity      77 101 103 149
Connected diagram      89 111 145
Conservation, charge      31 241 250 254
Conservation, energy      77 82 85 128 177 203 210
Conservation, group theory of      241 250 254
Conservation, momentum      23 41 77 82 85 146 177 203 210 241
Constant of the motion      57 241
Continuity equation      31
Continuum, elastic      12–14 17-18 122
Contraction      72 255
contravariance      178 252
Cooper pair      171
Correlation energy      138 143 146 150 154 169
Correlation function      113 115 152 153
Correspondence principle      59
Coulomb gauge      182
Coulomb interaction, boson exchange      27 45 77
Coulomb interaction, classical electrodynamics      182
Coulomb interaction, many-body      137 140 144 145 157 162
Coulomb interaction, screened      157 162
Coulomb interaction, superconductivity      170
Coupling constant      43 47 202 210 252
Covariance      175 (see also “relativistic invariance”)
creation      see “Annihilation”
Crossing symmetry      207 209
Crystal field      228 233 247
Crystal momentum      42
Current, quasi-particle      164—166
Current, relativistic 4-vector      180 181 200 201
Current, thermodynamic      101
d state      228 247
Debye wave number      46
Deformation potential      43
Degeneracy, fermion gas      48 136 162
Degeneracy, group theory      217 229-31 234 247 256
Delta function, analytical representation of      14 109 128 132
Delta function, relativistically invariant      186 198
Density fluctuations      114 151 152 159 169
Density matrix      94—101
Density matrix, canonical      99 105 112 159
Density matrix, correlation function      113 115
Density matrix, dielectric function      152 159
Density matrix, equation of motion      98 102
Density matrix, grand canonical      99 112
Density matrix, Green function      107 109 111 118
Density matrix, Hartree — Fock approximation      140 145
Density matrix, one-particle      104-106 111 112 136 141 166
Density matrix, probabilistic interpretation      97 100 195
Density matrix, projection operator      97
Density matrix, pure state      97
Density matrix, thermodynamic interpretation      100
Density matrix, Thomas-Fermi approximation      136
Density matrix, transport theory      101 104
Density matrix, two-particle      113 140 142 145 151 152
Density matrix, wave function      97
Density of states      109 131 134
Density operator      see “Density matrix”
Detailed balance      41
Diagram, algebraic interpretation of      80—82
Diagram, bubble      155 161
Diagram, connected      89 111 145
Diagram, correlation function      152
Diagram, diagram      155—158
Diagram, dispersion relation      149
Diagram, fluctuation-dissipation theorem      154
Diagram, ground-state energy      153 162
Diagram, hole line      51 78
Diagram, irreducible      90 155
Diagram, ladder      147
Diagram, longitudinal      149
Diagram, many-body theory      143—148 154—158
Diagram, momentum representation      80—84
Diagram, Pauli principle      84
Diagram, physical interpretation      79
Diagram, polarizability      149 152 157 161
Diagram, random phase approximation      158—162
Diagram, reducible      90 124 145
Diagram, relativistic S-matrix      184 198 201
Diagram, S-matrix expansion      74—93
Diagram, screening      157 162
Diagram, spectral representation      151 161
Diagram, square      211
Diagram, temperature Green function      101 112 161 164
Diagram, transverse      149
dielectric constant      45 47
Dielectric response function      148—162
Diffraction      114 153
Dirac equation      191 194 196 198 200
Dirac matrix      187 194—196 243
Dirac sea      162
Dirac spinor      193 196
Dirac theory      52 187 191-202
Direct product      223 231
Direct sum      218 224 226
Disorder      122
Dispersion relations      110 149 208—212
Distinguishability of particles      32—33 35 105 143 214 231
Divergence, perturbation expansion      86 92 203
Divergence, polarization of vacuum      89
Divergence, self-energy      27 46 78 92
doublet state      234
Dyadic product      223
Dyson equation      91 92 111 115 124 129 146
d’Alembertian      181
Eight-Fold Way      257
Einstein summation convention      176
Elastic continuum      18 19
Electrodynamics, classical      180 199 200
Electrodynamics, quantum      46 78 92 186 201—202 249
Electromagnetic field, Lagrangian for      199
Electromagnetic field, many-electron response to      150
Electromagnetic field, quantization of      21 44 ]K3
Electromagnetic field, relativistie invariance of      178—182 192
Electron-hole pair      50 78 83 115 159 173
Electrons      see also “Fermions”
Electrons, atomic states of      80 110 135 137 143 228 232—234 247
Electrons, Dirac theory of      187 192 196
Electrons, effective mass of      39
Electrons, electromagnetic interactions with      201 202
Electrons, interactions between      24 41 69
Electrons, metallic      48 104 135 145 148 162 203
Electrons, phonon interactions with      24 43—48 67 70 77 203
Electrons, positron interactions with      78
Electrons, scattering of      39
Electrons, self-energy of      47 77
Electrons, spin of      248
Electrostatics      119 139 150 157 181 182
element, group      215 226 233 236
Energy gap      164 170 173
Energy shell      129 148
Energy, binding      148
Energy, complex      110 121 123 208 212
Energy, conservation of      77 82 85 128 177 203 210
Energy, correlation      144 150
Energy, dissipation of      149 152
Energy, exchange      138 141 146
Energy, free      137
Energy, invariant      204 208
Energy, negative      21 52 185 192 196
Energy, relativistic      183 204
Energy, self-      27 42 47 77 78 83 88 91 111 155
Energy-momentum 4-vector      177 203
Energy-momentum representation      108 119 198
Ensemble average      94 97 99 100 105 107 134
entropy      100
Equation of motion method      160
Euler angles      244 251
Euler equation      17 20 199
Exchange energy      138 139 141—143 146
Exchange hole      142
exchange interaction      28 43 45 67 77 211
Exchange operator      141
Exciton      115
Exclusion principle      see “Pauli principle”
Factor group      231
Faxon Holtsmark formula      127
Fermi energy      48 136 162
Fermi gas      48 109 136 140 146 148 150 162—166 170
Fermi liquid      see “Fermi gas”
Fermi surface      48 165 171
Fermi velocity      51 163 164
Fermi — Dirac statistics      32 40
Fermions, annihilation and creation of      34—36
Fermions, boson interactions with      24 26 43—48 200—202
Fermions, fermion interactions with      41 50 67 77 85 137 144 147 170
Fermions, field quantization of      37 197
Fermions, gas of      48 109 136 140 146 148 150 162—166 170
Fermions, propagator for      72 78 80 81 87 91 111 115 198 201
Fermions, quasi-particle      48—52 108 110 152 162—166 173
Fermions, relativistic      191—194 209
Fermions, self-energy of      42 47 77 79 83 87 91 111 145 155
Fermions, statistics of      32 40
Fermions, wave function of      32 105 140 142 146
Fermions, “hole” states of      37 48—52 60 78 81 109 119 162 192 197
Feynman diagram      16 (see also “Diagram”)
Field operator      14 18—20 36—38 69 249
Field, boson      15 22 29 187 195
Field, classical      14-18 177 199
Field, complex scalar      29 187 249
Field, electromagnetic      21 175 178 186
Field, fermion      38 188—199
Field, gravitational      21
Field, interaction of      13 199
Field, pseudoscalar      196 202
Field, pseudospinor      190
Field, pseudovector      190 191
Field, quantized      14 18—21 36—38
Field, relativistic      183—199
Field, scalar      15 22 187 195
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