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Thaller B. — The Dirac equation
Thaller B. — The Dirac equation

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Название: The Dirac equation

Автор: Thaller B.

Язык: en

Рубрика: Физика/Квантовая теория поля/Учебники/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1992

Количество страниц: 357

Добавлена в каталог: 02.10.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Absolutely continuous spectrum      130
Abstract Dirac operator      139
Abstract Dirac operator, c-dependence      177
Abstract Dirac operator, self-adjointness      145
Acausality      28
Active transformation      45 57 304
Adiabatic switching      299
Aharanov — Casher theorem      198
Aharonov — Bohm effect      312 315
AKNS-ZS evolution equations      316
Analytic perturbation theory      183
Angular momentum, orbital      8
Angular momentum, spectrum      126
Angular momentum, spin      8
Annihilation operator      277
Anomalous moment      182 305
Anomalous moment, electric      111 123 152
Anomalous moment, magnetic      110 123 147 153 218 309
Anti-unitary operator      51 102 104
Antiparticle      14 275
Asymptotic completeness      224
Asymptotic completeness, Coulomb      241
Asymptotic completeness, magnetic fields      247
Asymptotic completeness, short-range      239
Asymptotic configurations      224
asymptotic freedom      224
Asymptotic observable      315
Atiyah — Singer index theorem      310
axial anomaly      166 319
Biedenharn transformation      314
BJL operator      214 217 220 314
Bogoliubov transformation      287
Bohr-magneton      110
Boost      45 70 74
Born's statistical interpretation      5
Bound state      131 189 218 223 268 272 275
Breit — Fermi Hamiltonian      312
Callias index formula      174
Canonical anticommutation relations      278
Carleman inequalities      308
Cauchy problem      5
Cauchy — Riemann equations      197 198
Cayley transform      157
Center of energy      8 49 57
CHARACTER      84
Characteristic function      5
Charge conjugation      14 36 275
Charge conservation      298
Charge operator      283
Charge quantization      313
Charge sector      284
Chiral transformation      319
Chirality      41
Cini — Touschek transformation      156 310
Classical limit      308
Classical velocity      19 227
Classically allowed region      34 131
Classically forbidden region      34
Closure of an operator      142
Cohomology      64 65
Collapse to the center      306
Commutation methods      308
Compact operator      229
Continuous spectral subspace      223
Coset      82
Coulomb gauge      245
Coulomb potential      114 130 136 148 208 240 306 309 314 315
Coulomb singularity      218
Coupling constant      114
Covariant Dirac equation      97
Covariant states      94
Covariant states-scalar product      96
Covering group      59 62
Covering group, Lorentz group      69 76
Covering group, Poincare group      60 76 99
Covering homomorphism      73
Creation operator      277
Cylindrical symmetry      206
Darwin term      190
Decay at infinity      116
Defining representation      93
Determinant      170
Dilation generator      227
Dirac equation      3
Dirac equation invariance      100
Dirac equation, covariant form      97
Dirac equation, one-dimensional      120
Dirac equation, Poincare transformation      108
Dirac matrices      2 73 77
Dirac operator      7 107
Dirac operator with supersymmetry      149 209
Dirac operator, abstract      139
Dirac operator, nonrelativistic limit      179
Dirac operator, partial wave decomposition      128
Dirac operator, resolvent      179
Dirac operator, second quantization      283
Dirac operator, self-adjointness      112
Dirac operator, spectral theory      129 131 308
Dirac sea      279 302
Dirac — Pauli representation      36
Discrete transformations      46 102
Double well      308
Dual action      85
Dual group      84
Einstein causality      30
Electric potential      109
Electromagnetic field tensor      110
Electromagnetic potentials      109
Embedded eigenvalues      130 135
Energy operator      5
Energy-momentum relation      2
Essential spectrum      114 202
Even operator      139
Even parity spinors      88
Event      43
Evolution kernel      15 38
Evolution operator      5 251
Exited states      211
expectation value      6 21
External field      107 275
External field problem      317
Factor set      82 86
Factorization      308 314
Fermion-vortex system      311
Feynman propagator      39
Field, electromagnetic      109 110
Field, operator      280
Field, pseudoscalar      111
Field, pseudovector      111
Field, scalar      108
First-order correction      188
Fock space      276
Foldy — Wouthuysen representation      25
Foldy — Wouthuysen transformation      11 102 154 196 209 302 305 309
Fourier transformation      9
Fractional charge      319
Fredholm determinant      171 264 310
Fredholm index      158 294 316
Fredholm operator      158
Free Dirac operator      7 9
Gamma matrices      72
Gamma matrices commutators      79
Gamma matrices products      79
Gamma matrices standard representation      77
Gamma matrices traces      80
Garding domain      55
Gauge invariance      119
Gauge transformation      119
Grading operator      139
Ground state      210
Haar measure      55 82
Hamilton function      241
Hamiltonian      5
Hamiltonian with supersymmetry      140 156
Hardy's inequality      112 149
Helicity operator      40
Hilbert-Schmidt condition      249
Hodge dual      110
Hole theory      279 302
Hopf tori      200
Hyperbolic sine-Gordon equation      316
INDEX      158 200 264
Index topological invariance      167
Index, Callias formula      174
Index, heat kernel regularization      160
Index, resolvent regularization      160
Index, Witten index      165
Induced representation      83 305
Induced representation, irreducibility      92
Inertial frame      43
Infinitesimal generators      48 100
Inner automorphism      85
Instantaneous spreading      30
Instanton      311
Intertwining relations      225
Invariance of the Dirac equation      100
Invariance of the domain      20
Invariance of the essential spectrum      114
Invariance principle      242
Invariant domain      21 228 303 304
Invariant measure      88
Inverse scattering      267 317
Involution      139
Irreducible      53
Isotropy group      86
Jost solution      220 261
Kato — Rellich theorem      61 112 251
KdV equation      255
Kinetic energy correction      190
Klein — Gordon equation      2 38 153 302
Klein's operator      139
Klein's paradox      120 131 307
Konrady's trick      61
Korteweg — de Vries equation      255
Krein's spectral shift      161 226 310
Kronecker symbol      3
Laplace operator      2
Lax pair      256
Left action      82
Level crossing      219
Level order      314
Lie algebra of the Poincare group      48
Lie bracket      49
Lifting      53 63
Limiting absorption principle      308
Little group      87 88
Local compactness      115 223
localization      26 28 303
Long-range potential      240
Lorentz covering group      69 76
Lorentz group      44
Lorentz metric      43
Lorentz transformation      44 304
Mackey decomposition theorem      89
Mackey states      83
Magnetic field      113 119 142 152 174 190 194 244 310 312
Magnetic monopole      123 307 312 314
Majorana representation      36
Mass shell      46 91
Matrix trace      160
Minimal coupling      109 177 302
Minkowsky space      43
Miura transformation      253
MKdV equation      316
Modified Korteweg — deVries equation      255
Modified time evolution      240 244
Modified wave operators      241
Moller wave operators      224
Momentum operator      8
Momentum space      9
monopole      312
Monopole harmonics      313
Negative energies      14 120 283
Negative energy subspace      10
Nelson's theorem      58 304
Nelson's trick      143 151
Neutrinos      4
Neutron      153
Newton Wigner operator      25 303
Non-stationary phase      33 245
Nonrelativistic limit      179
Nonrelativistic limit, eigenvalues      188
Normal ordering      285 300
Number of eigenvalues      136
Number operator      283
Observable      4
Observable, Foldy — Wouthuysen representation      25
Observable, restricted      24
Odd operator      139
Odd parity spinors      88
On-shell scattering operator      226
One-particle operator      284
One-particle subspace      275
Operator valued distributions      318
Operator, closure      142
Operator, even/odd part      139
Operator, Fredholm      158
Operator, trace class      159
Orbit      86
Orbital angular momentum      8
Orthogonal projection      5
Overcritical field      299
Paramagnetic inequality      313
Parity      93 104 111
Parity transform      46
Partial wave subspace      128
Passive interpretation      304
path integral      303
Pauli exclusion principle      278
Pauli lemma      74
Pauli matrices      3 49 68
Pauli operator      152 195
Pauli — Runge — Lenz vector      215
Periodic point interaction      306
Perturbation determinant      171
Phase shift      220
Phase shift operator      226
Plane-wave solutions      40 261
Poincare group      47
Poincare group, covering group      76
Poincare group, Lie algebra      49 56
Poincare group, orbits      87
Poincare transformation      47 99
Point interaction      306
Polar coordinate      123
Polar decomposition      69 143
Position operator      26 303
Position probability density      8 32
Positive energy subspace      10
Potential Poincare transformation      108
potential step      121
Potential, Coulomb      114
Potential, electric      134
Potential, electromagnetic      109
Potential, local singularities      112 120
Potential, matrix      107
Potential, pseudo vector      111
Potential, pseudoscalar      111
Potential, scalar      108 134
Potential, spherically symmetric      122
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