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Greiner W., Reinhardt J. — Field quantization
Greiner W., Reinhardt J. — Field quantization

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Название: Field quantization

Авторы: Greiner W., Reinhardt J.

Аннотация:

Field Quantization is a thorough introduction to the physical ideas and techniques of this subject, starting from an elementary level. The initial chapters deal with the quantum mechanics of systems having many degrees of freedom and with classical Lagrangian field theory. Subsequently, both the traditional method of canonical quantization and the modern approach using path integrals are studied. The material is presented in considerable detail and accompanied by a large number of worked examples and exercises.


Язык: en

Рубрика: Физика/Общие курсы/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1996

Количество страниц: 440

Добавлена в каталог: 09.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$S_{F}(x)$      132
$\delta(x)$      100 109—115 160 167
$\Delta_{1}(x)$      104 105 109—115
$\Delta_{F}(x)$      106 109—115
$\phi^{4}$ theory      261—267 295—299 392—398
$\phi^{4}$ theory, triviality      262
action      4 32 344
Action, effective      402 406
Action, euclidian      374
Adiabatic switching      221 360
Advanced Green's function      113
Advanced propagator      273
Amputated Green's function      404
Amputation of external lines      286 298
Angular momentum, Klein — Gordon field      83
Angular momentum, orbital      45 85 120
Angular momentum, spin      45 120
Angular-momentum operator, Dirac field      131
Angular-momentum operator, Klein — Gordon field      85—91 93
Angular-momentum tensor      45 85 99
Angular-momentum tensor, Dirac field      119
Angular-momentum tensor, electromagnetic      148
Angular-momentum tensor, modified      48
Annihilation operator      9 61 67 77 83 127 162 214 276
Anticommutation relations      65 125 408
Anticommuting numbers      408
Antilinear operator      307
Antiparticles      94 127
Antiunitary operator      325
Antiunitary transformation      307
Asymptotic completeness      271
Asymptotic condition for field operator      275 276
Axial gauge      144
Axiomatic quantum field theory      269
Baker — Campbell — Hausdorff relation      25 27 215 390
Bare mass      270 272 295
Basis      59 60 76
Basis function      12
Belinfante tensor      47 148
Bethe — Salpeter equation      320
Bilinear covariants      328 330
Bilinear forms      103 139
Bose particles, quantization      58
Bose — Einstein statistics      64 68 76 123 130 323 329
Boson loop      265
Boson-boson scattering      298
Box diagram      242 429
Box normalization      79 127 179
Branching ratio      333
Canonical commutation relations      9 215 269
Canonical commutation relations, Dirac field      123
Canonical commutation relations, electromagnetic field      176
Canonical commutation relations, Klein — Gordon field      76 92 102
Canonical commutation relations, Proca field      159
Canonical commutation relations, Schroedinger field      58
Canonical energy-momentum tensor      43
Canonical quantization      58 177
Canonical quantization, Coulomb gauge      196
Canonical quantization, electromagnetic field      176
Canonical quantization, massive vector field      158
Canonical transformation      6 128
Canonically conjugate field      34 172 251
Canonically conjugate field, Dirac      118
Canonically conjugate field, Klein — Gordon      75
Canonically conjugate field, Proca      158
Canonically conjugate field, Schroedinger      57
Canonically conjugate momentum      5
Casimier effect      82
Chain rule for functional derivatives      37
Charge conjugation      301
Charge conjugation, Dirac field      313
Charge conjugation, scalar field      305 309
Charge conjugation, vector field      319
Charge operator, Dirac      130
Charge parity      305 320
Charge parity, positronium      322
Charge, Bose field      93
Charge, Dirac field      120
Charge, Noether      46
circular polarization      161 166
Classical field      401 407
Classical field theory      31—51
Classical limit      344
Classical path      346
Closed loops      297
Coherent state      10 26
Commutation relations      see "Equal-time commutation relations"
Commutation relations, general, Dirac field      138—139
Commutation relations, general, electromagnetic field      205
Commutation relations, invariant      100
Completeness      63 339
Completeness relation      7 13
Completeness relation, polarization vectors      155 157
Complex rotation      358 359
Compton scattering      239 247—249 430
Compton scattering of positron      248
Compton scattering, Spin 0      259
Connected Green's function      383 387 398—400
Conservation laws      43
Conservation laws in classical field theory      39
Constraint condition      141 153
Continuity equation      42 142 143 146
Continuous matrix      376 403
continuum limit      11
Continuum threshold      281
Contracted normal product      230
Contraction      228
Convergence, strong      274
Convergence, weak      274 275 278 284
Coordinate operator      338
Coordinate-space representation      8
Correlations      74
Coulomb gauge      144—145 171 196 197 208 319
Coulomb interaction      69 187 200 202
Coulomb photon      187
Coulomb potential      145 203
Coulomb propagator      186
Counter term      296
Coupled fields, Maxwell and Dirac      150
Coupled fields, scalar electrodynamics      251
Coupled fields, Yukawa model      424
Covariant commutation relation      160
Covariant notation      33
Covariant photon propagator      187
Covariant quantization      171
Covariant quantization, Proca field      160
CPT theorem      326—331
Creation operator      9 61 67 77 83 127 162
Cross section      267
Current conservation      143 146 153
Current operator      139
Current operator, symmetrized      134
Current, conserved      42 46 47
Current, Dirac      120
Degeneracy factor      268
Degrees of freedom, Lorentz gauge      144
Degrees of freedom, photon field      171
Degrees of freedom, Proca field      158
Degrees of freedom, vector field      141
Delbrueck graph      250 430
Delbrueck scattering      see "Photon-photon scattering"
Dimension, Dirac field      117
Dimension, Klein — Gordon field      75
Dirac equation      117 124 129 288
Dirac field      117
Dirac picture      see "Interaction picture"
Dirac sea      126 130
Dirac unit spinor      124 128 137
Dirac's hole picture      126
Disconnected graphs      243
Discrete symmetry      301
Discretization      32
Dispersion relation, linear chain      14
Dispersion relation, photon      156
Dispersion relation, relativistic      77
Dual field-strength tensor      142
Dyson operator      215 292
Dyson product      217
Dyson propagator      113
Effective action      402 406
Effective potential      407
Electron-electron scattering      240 245—247
Electron-positron, pair annihilation      239
Electron-positron, pair creation      239
Electron-positron, scattering      240
Energy shift      219 220 222 224
Energy-momentum tensor      43
Energy-momentum tensor, Dirac field      119
Energy-momentum tensor, electromagnetic field      146 174
Energy-momentum tensor, Proca field      153
Energy-momentum tensor, symmetrical      43
Energy-momentum tensor, symmetrized      47 49 147 152
Equal-time anticommutation relation      123
Equal-time commutation relations      269
Equal-time commutation relations, electromagnetic field      176
Equal-time commutation relations, Klein — Gordon field      76 92 102
Equal-time commutation relations, Proca field      159
Equal-time commutation relations, Schroedinger field      58
Equation of continuity      42 142 143 146
ETCR      see "Equal-time commutation relations"
Euclidian action      374
Euclidian coordinates      359 361 372
Euclidian field theory      371—375
Euler — Lagrange equation      5 32 33 57 118 149 152 172
Exchange graph      239 246 260
Exchange term      73
External current      146 148
External fermion line      236
External forces      20
External photon line      236
External potential      69
External source      360 367 384 420
Fermi level      71
Fermi particles, quantization      65
Fermi — Dirac statistics      68 104 123 130 246
Fermi's Lagrangian      172
Fermion loop      241 427
Fermionic quantization      65 104 159
Feynmal rules, scalar electrodynamics      260
Feynman contour      107 422
Feynman diagrams      236 239 382
Feynman gauge      173 185 189
Feynman kernel      339 345 350 360 366 371
Feynman kernel, euclidian      359
Feynman path integral      344 360 362 367 370
Feynman propagator      188 230 296
Feynman propagator, Coulomb gauge      199
Feynman propagator, Dirac      132—134
Feynman propagator, euclidian      378
Feynman propagator, gauge dependence      189
Feynman propagator, Klein — Gordon      106—109 188
Feynman propagator, momentum space      108 134 170 185
Feynman propagator, path-integral representation      375—380
Feynman propagator, photons      185—187 195
Feynman propagator, Proca      167 169 188
Feynman propagator, scalar      112—115
Feynman propagator, spectral representation      280
Feynman rules in coordinate space      241
Feynman rules in momentum space      242
Feynman rules, $\phi^{4}$ theory      262
Feynman rules, quantum electrodynamics      233—243
Field strength, electric      143
Field strength, magnetic      143
Field, classical      31
Field-strength tensor, dual      142
Field-strength tensor, electromagnetic      142 152
Fock space      61 67 79 83 130 182 270
Fock space, photons      179 182
Fock state, normalization      68
Four-boson vertex      263
Four-current, electromagnetic      142
Four-momentum      43 119
Four-point function      382 391 405 422
Four-point function, $\phi^{4}$ theory      297 397
Four-point function, bosons      429
Four-point function, fermions      429 431
Fourier decomposition      59 92
Fourier decomposition, discrete      12
Fourier decomposition, photon field      177
Fourier decomposition, Proca field operator      160
Fourier expansion      78
Frechet derivative      see "Functional derivative"
Functional      31 37
Functional derivative      31 35—39
Functional derivative, chain rule      37
Functional derivative, product rule      37
Furry's theorem      320
Gauge      see "Coulomb gauge" "Fermi "Feynman "Landau "Lorentz
Gauge fixing      143 172 185 189
Gauge invariance      143 153 182 210
Gauge transformation      143 146 147 171 183
Gauge, noncovariant      171
Gauge-covariant derivative      151
Gauge-fixing parameter      173
Gaussian integral      343 345 351 353—356 370 375
Gaussian integral, Grassmann      412 415
Gaussian units      142
Gell-Mann — Low theorem      219—225
Generating functional for Green's function      380
Generating functional for irreducible Green's function      383
Generating functional, fermion fields      419—421
Generating functional, free Dirac field      421—424
Generating functional, interacting      384
Generating functional, perturbation series      385—387
Generator      49 98
Generator, Grassmann algebra      408
Generator, Poincare group      50
Gradient coupling      251 253
Grassmann algebra      408 409 414
Grassmann integration      415—419
Grassmann variable      408
Grassmann variable, complex      413
Green's function      145
Green's function, amputated      404
Green's function, connected      383 387 398—400
Green's function, higher-order      382
Green's function, irreducible      383 430
Green's function, Klein — Gordon      108
Green's function, momentum space      391—392
Green's function, multi-particle      283 286 287 290
Green's function, pole structure      287
Green's function, Schroedinger equation      346
Ground state, nondegenerate      359
Gupta — Bleuler method      180—183
Hamilton density      34
Hamilton equations      5 34 36
Hamilton formalism, classical fields      34
Hamilton function      see "Hamiltonian"
Hamilton's principle      4 32 344
Hamiltonian      5
Hamiltonian, classical field theory      34
Hamiltonian, Dirac      119 126 129
Hamiltonian, electromagnetic field      173
Hamiltonian, harmonic oscillator      9
Hamiltonian, interaction      291
Hamiltonian, Klein — Gordon      75
Hamiltonian, linear chain      12
Hamiltonian, normal-ordered      81 92 164
Hamiltonian, Proca      159 164
Hamiltonian, Schroedinger field      60
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