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| Thaller B. — The Dirac equation |
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| Предметный указатель |
Principle of minimal coupling 109
Principle of relativity 43
Projective representation 51
Projective state space 50
Propagation properties 236
Propagator 117
Proper Lorentz group 46
Proper Poincare group 48
Proper time 303
Pseudovector potential 111
Radial Dirac operator 128 146 207 208
Ray 50
Reducible 53
Reflection coefficient 121 263
Reflectionless potential 263
Regularized index 160 265
Relativistic correction 188
Representation 53
Representation classification 93
Representation, covariant 94
Representation, discrete transformations 105
Representation, induced 83
Representation, irreducible 53
Representation, lifting 53
Representation, projective 51
Representation, projective unitary 52
Representation, unitary 53
Resolvent 39 131 178
Resolvent, analyticity 181
Resonance 137 307 309
Rotation 44 70 74 122
Rotation group 45
Rotation vector 44
Scalar potential 108 151 173 305 310
Scattering data 268
Scattering operator 225
Scattering operator, relativistic corrections 312
Scattering operator, time dependent field 248
Scattering state 223 224
Scattering theory, completeness 224
Scattering theory, existence 224
Schrodinger operator 153 189 195 253
Schrodinger picture 297
Schur's lemma 53 84
Schwinger term 294
Second cohomology group 64
Second quantization 275
Self-adjointness 112 306
Self-adjointness of  11
Self-adjointness supercharge 142
Semiclassical methods 308
Semidirect product 47 83
Separable potential 191
Shale — Stinespring criterion 289
Shift operator 295
Short-range potential 227
Singularly continuous spectrum 225
Sobolev space 7
Soliton 256
Soliton solution 269
Space inversion 46
Space reflection 71 75
Space translations 8
Space-time reflection 75
Spectral asymmetry 166 310
Spectral family 5
Spectral measure 5
Spectral shift function 161
Spectral subspace 10
Spectral subspace, continuous 223
Spectral supersymmetry 144
Spectral transform 13
Spectroscopic notation 217
Spectrum of 11
Spherical harmonics 126
Spherical symmetry 122
Spin 8
Spin geometry 305
Spin-orbit operator 125
| Spin-orbit term 190
Spinor 69
Spinor representation 60
Spontaneous pair creation 299
Square-root Klein — Gordon equation 2 302
Stability group 86
Standard position operator 7 227
Standard representation 3 36 141
Standard velocity operator 19
State 4
Stationary phase 33
Stationary scattering theory 219 315
Step potential 120
Stochastic interpretation 303
Stone's theorem 5
Strong resolvent convergence 232
Subsidiary condition 82
Subspace of positive energies 10
Summation convention 43
Supercharge 140
Supercharge, associated 140
Supercharge, self-adjointness 142
Superluminal propagation 28
Supersymmetric Dirac operator 154 242
Supersymmetric partner 213
Supersymmetric representation 36
Supersymmetric scattering theory 242 310
Supersymmetry 208 308
Supersymmetry of the spectrum 144
Supertrace 160
Support 31
Symmetry transformation 51
Temple's operator 215
Thomas precession 190
Time evolution 5 282
Time evolution modifications 240
Time evolution operator 15
Time reversal 46 75 104
Time-dependent field 248
Topological invariance of the index 167
Trace 159
Trace class 159
Trace norm 159
Transition probability 6 51
Translation 47
Transmission coefficient 121 263
Transversal gauge 245
Ultrarelativistic limit 310
Unique continuation property 308
Unitarity condition 287
Unitary group 293
Unitary implementability 287
Unitary involution 139
Unitary propagator 117
Unitary representation 53
Universal covering group 59
VACUUM 277
Vacuum polarization 316 319
Vector potential 109 119 194 195
Velocity 19
Virial theorem 134 308
Water waves 256
Wave equation 305
Wave operators 224
Wave operators modifications 241
wavefunction 5
Wavefunction, Poincare transformation 101
Wavefunction, support properties 31
Weil representation 36 73
Weyl equation 4
Weyl's theorem 114
Wigner states 90
Wigner — Bargmann theorem 51
Wiist's theorem 62 112
Witten index 165
Yamaguchi potential 191
Yang — Mills — Higgs monopole 311
Zitterbewegung 19 190 227 244 303
Zitterbewegung external fields 230
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