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Galindo A., Pascual P. — Quantum Mechanics Two |
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Предметный указатель |
Deuteron binding energy II 64
Diamagnetic enhancement II 206
Diamagnetic term I 19 II 220 225 333
Differential cross section II 9 20 27
Differential cross section, change LAB-C.M. II 6
Differential cross section, Coulomb II 71
Differential cross section, forward II 22
Diffusion coefficient I 157
Diffusion equation I 109
Dipole transition, electric II 322
Dirac delta function I 365
Dirac monopole II 208
Dirac picture II 172
Dirac quantization condition II 208
Dirac string II 208
Direct integral II 152
Direct potential II 279
Dispersion relations II 68
Dispersion-free states I 54
Displacement law of Wien I 1 II
Distribution(s) or generalized function(s) I 364
Distribution(s) or generalized function(s), differentiation of I 365
Distribution(s) or generalized function(s), support of I 366
Distribution(s) or generalized function(s), temperate I 364
Dunham formula II 97 119
Dynamical momentum II 201
Dyson time ordering operator I 72
D’Alembert equation II 298
Eckart potential I 254 257
Effect Aharonov — Bohm II 209
Effect Auger II 270
Effect Compton I 5
Effect Hall, quantum II 216
Effect Handbury — Brown and Twiss II 257
Effect Lamb I 248
Effect Paschen — Back II 224
Effect photoelectric I 4
Effect Stark I 21 see
Effect tunnel I 174
Effect Zeeman I 18 see
Effective range I 298 II 62
Effective range expansion II 62
Ehrenfest’s theorem I 101
Eigenfunction I 47
Eigenvalue I 44 348
Eigenvalues for large coupling constants II 157
Eigenvalues for large coupling constants for Yukawa potential II 159
Eigenvector I 44 47 348
Einstein — Rosen — Podolsky argument I 377
Elastic channel II 2 77
Elastic cross section II 22
Elastic cross section in multichannel scattering II 84
Elastic scattering II 2
Elastic scattering of identical particles II 75
Elastic scattering, two-body II 73
Electric and magnetic multipoles II 305
Electric dipole transitions II 322
Electric dipole transitions in atoms II 322
Electric dipole transitions in hydrogen II 323
Electromagnetic coupling, minimal II 212
Electromagnetic field, amplitudes of II 301
Electromagnetic field, angular momentum of II 209 298
Electromagnetic field, classical Lagrangian of a particle in II 201
Electromagnetic field, commutation relations for II 301 302
Electromagnetic field, conjugate momentum of II 304
Electromagnetic field, energy of II 298
Electromagnetic field, force on a particle in II 201
Electromagnetic field, Hamiltonian for a particle in II 201 213
Electromagnetic field, momentum of II 298
Electromagnetic field, multipole decomposition of II 304
Electromagnetic field, particle in II 200
Electromagnetic field, plane wave decomposition of II 299
Electromagnetic field, quantization of II 301
Electromagnetic field, Schroedinger equation for a particle in II 202 211
Electromagnetic field, uncertainty relations for II 303
Electromagnetic field, uncertainty relations for a particle in II 206
Electromagnetic interaction I 280
Electromagnetic potentials II 200
Electromagnetic transitions, selection rules for II 311
Electron configuration II 285
Electron radius, classical II 334
Electroweak model I 280
Elementary magnetic flux II 210
Elementary particles II 232
Emission of radiation I 245 II
Emission, induced II 319
Emission, spontaneous II 318
Energy functional II 276
Energy shell I 188 II
Energy, conservation of II 18 80 176
Energy, Coulomb, of a nucleus I 297
Energy, deuteron binding II 64
Energy, electromagnetic field II 298
Energy, free II 244
Energy, radial kinetic I 225
Energy, resonant I 164
Energy, rotational kinetic I 225
Energy, threshold II 2
entropy I 371
Equation(s), Clapeyron II 241
Equation(s), continuity I 99 100 II
Equation(s), diffusion I 109
Equation(s), d’Alembert II 298
Equation(s), Hamilton — Jacobi I 24 113
Equation(s), Lippmann — Schwinger see Lippmann — Schwinger equations
Equation(s), Lorentz II 201
Equation(s), Marchenko I 183
Equation(s), Maxwell II 200
Equation(s), Pauli II 213
Equation(s), phase II 50
Equation(s), radial I 225
Equation(s), reduced radial I 226
Equation(s), Schrodinger I 25 26 68
Equation(s), Schrodinger, classical limit of I 113
Equation(s), Schrodinger, for a particle in an electromagnetic field II 202 211
Equation(s), Schrodinger, stationary states of I 25
Equation(s), Schrodinger, time-dependent I 26
Euclidean group I 190 193
Euler angles I 206
Euler constant I 311
Euler gamma function I 311
Evolution operator or unitary propagator I 69 70 71
Evolution, stellar II 254
Evolution, time, of scattering wave packets II 41
Evolution, types of I 370
Exchange degeneracy II 228
Exchange integral II 152
Exchange potential II 279
Exclusion principle II 233
Exclusion principle, formal extension to nucleons II 234
Expansion in eigenvectors I 48 185
Expansion, effective range II 62
Expansion, multipole wave II 304
Expansion, partial wave II 44
Expansion, plane wave II 299
Expectation or mean value I 52 59
Expectation values, time evolution law for I 73
Exponential decay law II 180
Exponential potential I 259
Factor(s), gyromagnetic II 214 308
Factor(s), inelasticity II 83
Family, holomorphic self-adjoint of type (A) I 356
Family, holomorphic self-adjoint of type (B) I 360
Family, spectral I 45 351
Fast decrease functions I 363
Fermat’s principle I 22
Fermi gas II 239
Fermi gas, degenerate II 241
Fermi momentum II 241
Fermi sea II 241
| Fermi — Dirac statistics II 231 237 250 253
Fermion annihilation operators II 250
Fermion anticommutation relation II 250
Fermion creation operators II 250
fermions II 231 237 250 253
Fermi’s Golden Rule II 179
Feynman — Kac formula I 128
Field operators II 249
Final states, density of II 179
Fine structure II 217 270 297
Fine structure constant I 11
Fine structure of hydrogen-like atoms II 217
Floquet’s theorem I 177
Flux conservation I 153
Fock representation of the (anti)commutation relations II 250
Fock space II 246
Force on a particle in an electromagnetic field II 201
Forced harmonic oscillator II 164
Forced harmonic oscillator, adiabatic turning on II 169
Forced harmonic oscillator, sudden turning on II 169
Form, quadratic I 140 353
Formula(e), Breit — Wigner I 164 II 164 170
Formula(e), Campbell —Hausdorff I 82
Formula(e), connection II 90
Formula(e), Dunham I 197 119
Formula(e), Feynman — Kac I 128
Formula(e), Hellmann — Feynman II 127
Formula(e), Klein — Nishina II 334
Formula(e), mass I 299
Formula(e), Mehler I 125
Formula(e), Mott II 76
Formula(e), Planck II 244
Formula(e), Rodrigues I 302 307 308 309
Formula(e), Rutherford II 71
Formula(e), Schlaefli I 302
Formula(e), Tiktopoulos I 359 360
Formula(e), Wigner II 66
Forward differential cross section II 22
Fourier transform I 367
Fourier transformation I 367
Fractional statistics II 231
Frames LAB and C.M. II 6
Franck — Hertz Experiment I 12
Free energy II 244
Frequency, cyclotron II 216
Frequency, Larmor I 20
Frequency, threshold I 4
Friedrichs extension I 140 226 348 354
Frobenius theorem I 38
Function(s), associated Legendre I 303
Function(s), Bessel I 312
Function(s), confluent hypergeometric I 317
Function(s), correlation see Correlation function(s)
Function(s), Coulomb wave I 320
Function(s), Dirac delta I 365
Function(s), Euler gamma I 311
Function(s), fast decrease I 363
Function(s), Hamilton’s characteristic I 24 114
Function(s), Hamilton’s principal I 24 113
Function(s), Hankel I 313
Function(s), Hermitian analytic II 31
Function(s), Jost I 160 see
Function(s), Neumann I 315
Function(s), Racah triangle I 330
Function(s), radial wave I 225
Function(s), slow growth I 364
Function(s), spherical Bessel I 314
Function(s), spherical Hankel I 315
Function(s), step I 71
Function(s), test I 363
Function(s), triangle I 327
Function(s), wave I 24 26 88
Function(s), Weber I 312
Function(s), work I 5
Functional calculus with self-adjoint operators I 46 350
Galilean invariance I 288 294
Galilean transformations I 288
Galilei group I 288
Gamma function I 311
Gas, Bose II 243
Gas, Fermi see Fermi gas
Gauge condition, Lorentz II 200
Gauge independent observables II 202
Gauge invariance II 202 204
Gauge transformation II 200
Gauge transformation of first kind II 205
Gauge transformation of second kind II 205
Gauge transformation of wave functions II 204
Generator(s) I 71 269
Generator(s) rotation I 272
Generator(s) translation I 270
Gleason’s theorem I 61
Golden rule, Fermi II 179
Grand unification models I 281
Gravitational collapse II 255
Gravitational interaction I 280
Group of space translations I 91 269
Group of symmetry transformations I 268
Group, euclidean I 190 193
Group, Galilei I 288
Group, isospin I 296
Group, one-parameter unitary I 70 78 353
Group, rotation or SO(3) I 190 271
Group, SU(2) I 193 296
Group, time evolution I 70 71
Group, unitary abelian I 78
Group, velocity of I 25 28 180
Gyromagnetic factor I 249
Gyromagnetic factors or ratios II 214 308
Hadrons I 281
Hall effect, quantum II 216
Hamilton — Jacobi equation I 24 113
Hamiltonian I 68
Hamiltonian for particle in electromagnetic field II 201 213
Hamiltonian in arbitrary coordinates I 98
Hamiltonian in Cartesian coordinates I 98
Hamiltonian in spherical coordinates I 225
Hamiltonian in terms of annihilation and creation operators II 248 301 307
Hamilton’s characteristic function I 24 114
Hamilton’s principal function I 24 113
Handbury — Brown and Twiss effect II 257
Hankel functions I 313
Harmonic oscillator with perturbation II 131
Harmonic oscillator with perturbation, complex scaling techniques II 133
Harmonic oscillator with perturbation, lifetimes II 133
Harmonic oscillator with perturbation II 127
Harmonic oscillator with perturbation, Borel summability II 128
Harmonic oscillator with perturbation, Pade approximants II 129
Harmonic oscillator, analytical treatment of I 142 239
Harmonic oscillator, classical equations for I 106 143 II
Harmonic oscillator, forced see Forced harmonic oscillator
Harmonic oscillator, Hamiltonian of, in terms of annihilation and creation operators I 145
Harmonic oscillator, in the Heisenberg picture I 147
Harmonic oscillator, one-dimensional I 142
Harmonic oscillator, operator treatment of I 145
Harmonic oscillator, three-dimensional I 239
Harmonic oscillator, W.B.K. levels for, isotropic II 119
Harmonic oscillator, W.B.K. levels for, one-dimensional II 98
Hartree — Fock equations II 278
Hartree — Fock equations, Moshinsky example II 280
Hartree — Fock method II 277
Hartree — Fock method, central field approximation II 283
Hartree — Fock method, direct potential II 279
Hartree — Fock method, exchange potential II 279
Hartree — Fock method, rigorous results II 283
Heat, specific II 242
Heisenberg picture I 84
Helicity I 217
Helicity, photon II 301
Hellmann — Feyman formula II 127
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