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| Galindo A., Pascual P. — Quantum Mechanics Two |
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| Предметный указатель |
Operator(s), rotational kinetic energy I 225
Operator(s), Runge — Lenz I 250
Operator(s), scalar I 216
Operator(s), scattering I 156 188 see
Operator(s), self-adjoint I 40 348
Operator(s), self-adjoint, essentially I 131 221 348
Operator(s), self-adjoint, functional calculus with I 46 350
Operator(s), self-adjoint, perturbation of I 354
Operator(s), self-adjoint, semi-bounded or bounded from below I 348
Operator(s), self-adjoint, spectral theory of I 350
Operator(s), self-adjoint, spectrum of I 352
Operator(s), spectral projection I 351
Operator(s), symmetric I 41 53 348
Operator(s), time ordering I 72
Operator(s), time reversal I 274
Operator(s), trace class I 355
Operator(s), transition II 19 30 81
Operator(s), translation I 91 269
Operator(s), unitary I 70 71 263 351
Operator(s), univalence I 209
Operator(s), vector I 216
Optical potential II 85
Optical theorem I 157 II 40 47 82
Orbitals II 235
Oscillator strengths II 324
Packets, wave I 27
Packets, wave, minimal I 95 105
Pade approximants II 129
Pair, Cooper II 266
Pair, Schroedinger I 80
Parabolic coordinates, hydrogen-like atoms in I 252
Paramagnetic term II 213
Parameters, normal I 269
Parastatistics II 230
Parity I 272
Parity, conservation of I 280
Parity, intrinsic I 273
Parity, intrinsic, invariance of scattering operator under II 43
Parity, invariance under I 280
Parity, operator for I 273
Partial (wave) scattering amplitude(s) II 46
Partial (wave) scattering amplitude(s), analyticity properties of II 56
Partial (wave) scattering amplitude(s), Born approximation to II 52
Partial (wave) scattering amplitude(s), Born series for II 51
Partial (wave) scattering amplitude(s), low energy behavior of II 62
Partial wave decomposition I 225
Partial wave decomposition of plane waves I 219 302
Partial wave resonances II 65
Partial waves II 45
Partial waves, expansion of scattering amplitudes in II 44
Particle(s) in a constant uniform magnetic field II 215
Particle(s) in an electromagnetic field II 200 211
Particle(s) in an electromagnetic field, classical Lagrangian for II 201
Particle(s) in an electromagnetic field, force on II 201
Particle(s) in an electromagnetic field, Hamiltonian of II 201 213
Particle(s) in an electromagnetic field, Schroedinger equation for II 202
Particle(s) in an electromagnetic field, uncertainty relations for II 206
Particle(s) under the action of a constant force I 105
Particle(s), elementary I 139
Paschen series I 246
Paschen — Back effect II 224
Passive interpretation I 270
Path, integral I 123
Path, integration I 120
Pauli equation II 213
Pauli matrices I 66 200 323
Periodic perturbations II 182
Periodic potentials I 175
Permutation group II 227
Perrin atom I 10
Perturbation of self-adjoint forms I 358
Perturbation of self-adjoint operators I 354
Perturbation(s) and energy conservation II 176
Perturbation(s) of close levels II 126
Perturbation(s) of harmonic oscillator see Harmonic oscillator
Perturbation(s), adiabatic II 169 180 186
Perturbation(s), constant II 176
Perturbation(s), periodic II 182
Perturbation(s), regular see Regular perturbations
Perturbation(s), stationary see Time-independent perturbations
Perturbation(s), sudden II 169 184
Perturbative calculation of atoms II 287
Perturbative calculation of atoms, jj coupling II 296
Perturbative calculation of atoms, Russell — Saunders or LS coupling II 288
Peter — Weyl theorem I 196
Pfund series I 246
Phase equation II 50
Phase shift(s) II 44 46
Phase shift(s) and Levinson theorem I 166 II
Phase shift(s) for central square well II 53
Phase shift(s) for delta function potentials I 160
Phase shift(s) for one-dimensional potentials I 157
Phase shift(s) in inelastic scattering II 83
Phase shift(s), background II 65
Phase shift(s), behavior near a resonance of II 65
Phase shift(s), computation of II 48
Phase shift(s), Coulomb II 71
Phase shift(s), low energy behavior of I 298 II
Phase shift(s), ordering of II 72
Phase shift(s), properties of II 48
Phase shift(s), resonance behavior of I 165
Phase shift(s), resonant II 65
Phase shift(s), W.B.K. approximation to II 120
Phase space I 4
phase velocity I 25 115
Phase, Berry II 192
Phonons II 263
photoelectric effect I 4
Photon I 5
Photon absortion cross section II 319
Photon emission or absorption II 318
Photon helicity II 301
Pick up channel II 77
Picture(s), Dirac or interaction I 85 II
Picture(s), Heisenberg I 84
Picture(s), interaction or Dirac I 85 II
Picture(s), Schroedinger I 84
Picture(s), time evolution I 84
Planck constant I 3
Planck constant, reduced I 3
Planck formula II 244
Planck’s law I 2
Plane wave I 39 51 100
Plane wave expansion II 299
Platinum rule II 182
Poisson bracket I 74
Polarization I 66
Polarization (vector) II 299
Polarization (vector), linear II 300
Polarization (vector), right and left II 300
Pole structure of the S matrix II 66
Pole structure of the transmission amplitude I 167
Polynomials, Hermite I 306
Polynomials, Laguerre I 308
Polynomials, Laguerre generalized I 309
Polynomials, Legendre I 301
Populations I 61
Position(s), operator for I 41 78 83 91
Position(s), representation associated with I 90
Potential(s),  II 98
Potential(s),  I 229
Potential(s),  I 254
Potential(s),  II 108
Potential(s),  II 101
Potential(s), -1/r at the origin II 157
Potential(s), barrier II 104 113
Potential(s), central I 220 see
Potential(s), chemical II 237
Potential(s), Coulomb I 242
Potential(s), Dcebe class of I 223 II
| Potential(s), delta function I 130 159 236
Potential(s), direct II 279
Potential(s), Eckart I 254 257
Potential(s), electromagnetic II 200
Potential(s), exactly solvable, in s waves I 254
Potential(s), exchange II 279
Potential(s), exponential I 259
Potential(s), harmonic oscillator I 142 239
Potential(s), Hulthen I 255
Potential(s), Hylleraas I 256
Potential(s), Kato class of I 221 356
Potential(s), Kronig — Penney I 178
Potential(s), Morse I 259
Potential(s), optical II 85
Potential(s), Periodic I 175
Potential(s), Rollnik class of I 222 359
Potential(s), soliton II 109
Potential(s), square well I 136 234
Potential(s), standard II 15
Potential(s), thermodynamic II 237
Potential(s), Von Neumann — Wigner I 233
Preparation I 35 63
Preparation, maximal I 36
Prepositional calculus I 63
principal quantum number I 11 14 243
Principle, combination I 10
Principle, complementarity I 7
Principle, correspondence I 15
Principle, Fermat I 22
Principle, Least Action I 22
Principle, linear superposition I 86
Principle, Maupertuis I 22
Principle, microreversibility I 285 II 175
Principle, min-max I 135 223 231 360 II
Principle, symmetrization II 231
Principle, uncertainty I 29 53
Probability amplitude I 9 27 89
Probability current density I 99 II
probability density I 90 97 II
Probability, relative I 51
Probability, transition II 174 310
Problem(s), inverse spectral I 180
Problem(s), one-dimensional I 130
Problem(s), one-dimensional, asymptotic behaviors in I 131
Problem(s), one-dimensional, energy spectrum in I 131
Problem(s), one-dimensional, mathematical conditions I 183
Problem(s), one-dimensional, number of bound states in I 134
Product of convolution I 368
Projectiles II 1
Projection operator, spectral I 351
Propagation of wave packets I 103 106
Propagator, advanced I 112
Propagator, free retarded I 109
Propagator, retarded I 107
Propagator, unitary evolution I 69 70 71 121
Property(ies) of phase shifts II 48
Property(ies), analyticity, of scattering amplitudes II 56 67
Property(ies), intertwining II 18 79
Proposition or yes-no experiment I 63
Quadratic form(s) I 140 353
Quadratic form(s), closable I 353
Quadratic form(s), closed I 353
Quadratic form(s), positive I 353
Quadratic form(s), self-adjoint I 353
Quadratic form(s), semi-bounded or bounded from below I 353
Quadratic form(s), symmetric I 353
Quantization of the electromagnetic field II 301
Quantization, canonical I 74 77
Quantization, rules of I 77
Quantization, second II 249
Quantization, Sommerfeld — Wilson — Ishiwara rules of I 4 13
Quantization, space I 15 21
Quantum chromodynamics I 281
Quantum theory of radiation II 298
Quantum theory of radiation, transition probabilities in II 310
Quarks I 280 300
Quasiparticle method II 38 260 264
Quasiparticle operators II 261
Quasiparticle states II 260
Quaternions 138
Racah, coefficients of I 329 346
Racah, triangle function of I 330
Radial equation I 225
Radial momentum operator I 225
Radial quantum number I 14 242
Radial wave function I 225
Radiation I 10 II 298
Radiation emission I 245
Radiation,  -polar II 305
Radiation, angular distribution of II 317 320
Radiation, emission of II 245
Radiation, quantum theory of II 298
Radiation, quantum theory of, transition probabilities in II 310
Radiative transitions in nuclei II 325
Radiative transitions in nuclei, nucleon effective charge for II 329
Radius, atomic II 274 312
Radius, Bohr 111 243
Radius, classical electron II 334
Radius, nuclear I 297
Range, effective I 298 II 62
Ratios, gyromagnetic II 214 308
Rayleigh — Jeans law I 2 II
Rayleigh — Ritz method II 149
Rayleigh — Schoedinger series II 123
Reciprocity relation I 153
Reciprocity theorem I 287 II
Reduced mass I 10 220
Reduced matrix element I 216
Reduced radial equation I 226
Reduction of the wave packet I 65 370
Reflection amplitude I 154
Reflection coefficient I 153 II
Regular perturbations II 143
Regular perturbations, convergence radius II 143
Regularity condition I 227 229
Relation(s) or rule(s), anticommutation see Anticommutation relations
Relation(s) or rule(s), Bohr — Peierls — Placzek II 27
Relation(s) or rule(s), closure I 49
Relation(s) or rule(s), commutation see also Commutation relations
Relation(s) or rule(s), commutation, for angle—angular momentum I 201
Relation(s) or rule(s), commutation, for angular momenta I 190 195 322
Relation(s) or rule(s), commutation, for position-momentum I 78
Relation(s) or rule(s), commutation, in Weyl’s form I 78 205
Relation(s) or rule(s), dispersion II 68
Relation(s) or rule(s), Kramers I 245 310
Relation(s) or rule(s), reciprocity I 153
Relation(s) or rule(s), uncertainty I 29 53
Relative probability I 51
Renormalization constant II 125
Representation of the identity I 45 351
Representation, associated with a complete set of compatible observables I 88
Representation, irreducible I 193 277
Representation, Mandelstam II 68
Representation, matrix, of J I 199
Representation, matrix, of the rotation operators I 206 324
Representation, momentum I 90
Representation, position I 90
Representation, relation between position and momentum I 93
Representation, spectral I 350
Resolvent operator I 347
Resolvent set I 46 347
Resonance width I 164
Resonance(s) I 164 II 64 164
Resonance(s), nuclear spin II 162
Resonance(s), zero energy II 59 63
Resonant phase shift II 65
Resonant state II 65
Results of measurements I 50 61
Riesz — Frechet theorem I 39
Rigged Hilbert space I 48
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