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| Àâòîðèçàöèÿ |
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| Ïîèñê ïî óêàçàòåëÿì |
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| Sakurai J.J. — Modern quantum mechanics |
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| Ïðåäìåòíûé óêàçàòåëü |
 Hermitian matrix 471
Abelian, definition of 49
Absorption, in classical radiation fields 335—337
Absorption-emission cycle 321—322
Adiabatic potential 474
Adiabatic potential, complex system and 473—474
Adiabatic theorem 464—465
Aharonov — Bohm effect 136—139 472—473
Airy function 108—109
Algebra, bra-ket 60
Alkali atoms, fine structure and 304—307
Angular frequency, Planck — Einstein relation and 71
Angular integration, helium atom and 367
Angular momentum addition 203—217
Angular momentum addition rule, proof of 456—457
Angular momentum addition, examples of 203—206
Angular momentum addition, formal theory of 206—210
Angular momentum commutation relations 187—189
Angular momentum commutation relations, matrix realizations 165
Angular momentum commutation relations, ladder operators and 188—189
Angular momentum commutation relations, rotations and 152—158
Angular momentum operator 156—157
Angular momentum operator, matrix elements of 191—192
Angular momentum, angular-velocity vector and 6
Angular momentum, eigenvalues and eigenstates of 188—195
Angular momentum, of silver atoms 2
Angular momentum, orbital 195—203
Angular momentum, orbital, eigenvalues of 31
Angular momentum, orbital, parity eigenket of 255
Angular momentum, orbital, quenching of 284
Angular momentum, orbital, rotation generation and 196—198
Angular momentum, orbital, spherical harmonics and 198—203
Angular momentum, Schwinger’s oscillator model of 217—223
Angular momentum, uncoupled oscillators and 217—221
Angular velocity vector, angular momentum and 6
Annihilation operator 90—91 147 218
Anomalous Zeeman effect 307
Anticommutation relations 28
Antilinear operator 269 273
Antisymmetrical states 257
Antiunitary operator 269 273 277 422—423
Argand diagram 403
Argon, Ramsauer — Townsend effect and 413
Associative axiom of multiplication 16—17
Atomic spectroscopy 159
Axial vectors 254
Baker — Hausdorff formula 96
Balmer splittings, fine structure splittings and 307
Base kets, change of basis in 36—37
Base kets, eigenkets as 18—20
Base kets, spin 1/2 systems and 22
Base kets, transition amplitudes and 87—89
Baym, G. 236
Bell’s inequality, quantum mechanics and 229—232
Berry, M.V. 464 465
Berry’s phase 465—480
Berry’s phase and polarized light 479—480
Bessel functions, properties of 452—453
Bethe, H.A. 432
Biedenharn, L.C. 217
Bitter, T. 470
Bloch, F. 432
Bloch’s theorem 265
Bohr atom 1
Bohr, N. 76 391 432
Boltzmann constant 184
Born amplitude, first-order 386 393 442 446
Born approximation 386—390 426 428 441
Born — Oppenheimer approximation 474
Born, M. 50 90 100 102 187
Bose — Einstein condensation 363
Bose — Einstein statistics 361
Bosons 361—363
Bound states, low-energy scattering and 410—418
Bound states, quasi- 419
Bound states, zero-energy scattering and 413—416
Bra space 13
Bra, matrix representation of 21
Bra-ket algebra 60
Breit — Wigner form 482 483
Breit — Wigner formula 421
Brillouin zone 265
Brillouin, L. 105
Canonical commutation relations 50—51
Canonical ensembles 185—187
Canonical momentum 130 135
Canonical momentum, definition of 249
Cartesian tensors 234—236
Cayley — Klein parameters 170
Central force problem, Schroedinger wave equation and 450—454
Classical physics, symmetry in 248—249
Classical radiation fields, absorption and stimulated emission 335—237
Clebsch — Gordan coefficients 206 238—240
Clebsch — Gordan coefficients, properties of 208—210
Clebsch — Gordan coefficients, recursion relations for 210—215
Clebsch — Gordan coefficients, rotation matrices and 215—217
Clebsch — Gordan series 216
Clebsch — Gordan series formula 237
Closure 19
Collective index 31 296
Color singlets 377
Commutation relations 28
Commutativity, angular momentum and 152—158
Commutators 66 86
Commutators, Poisson brackets and 50—51
Completeness relation 19
Complex conjugate transposed 20
Complex numbers, quantum mechanics and 27—28
Complex systems, adiabatic potential and 473—474
Complex vector space, spin states and 10
Compton effect 1
Constant potentials, gauge transformations and 123—125
Continuous spectra 41—42
Correlation amplitude, energy-time uncertainty relation and 78—80
Correlation function 146
Coulomb case, partial-wave analysis and 438—441
Coulomb interaction, Hamiltonian of, scattering solutions of 435—438
Coulomb scattering 433—441
Coulomb scattering amplitude 458—462
Coulomb scattering formalism, mathematical details of 458—463
Creation operator 90—91 147 218
Dalgarno, A. 298
Davisson — Germer — Thompson experiment 1
de Broglie, L. 47 68 100
de Broglie’s matter waves 1
Decay width, energy shift and 341—345
Decays, non-exponential 481—486
Degeneracy 29 61 250—251
Degeneracy point, geometrical phase factor and 467—469
Degeneracy, exchange 358
Degeneracy, Kramers 281
Delacretaz, G. 479
Density matrix 178
Density matrix of completely random ensemble 183
Density matrix, continuum generalizations and 182
Density operator, definition of 177
Density operator, ensemble averages and 176—181
Density operator, Hermitian 178
Density operator, pure vs. mixed ensembles and 174—187
Density operator, time evolution of 243
Detailed balance 335 424
Diagonalization 39—40 66 90
diamagnetic susceptibility 350
Dicke, R.H. 488
Differential cross section 385
Dipole operator 338
Dirac  function 41
Dirac bra-ket notation 273
Dirac notation 8
Dirac notation, Clebsch — Gordan coefficients and 209
| Dirac picture 319
Dirac, P.A.M. 1 11 23—24 50—52 84 107 118—119 143 325 332
Direction eigenkets 199
dispersion 34
Double-bar matrix element 239
Dual correspondence 13
Dubbers, D. 470
Dyadic tensors 234
Dyson series 73 325—326
Dyson, F.J. 73 326
Ehrenfest, P. 87
Ehrenfest’s theorem 87 126 131
Eichinvarianz 135
Eigenbras, eigenkets and 13
Eigenfunctions 53
Eigenkets 12
Eigenkets, angular momentum 189—191
Eigenkets, as base kets 18—20
Eigenkets, direction 199
Eigenkets, eigenbras and 13
Eigenkets, energy 74—75
Eigenkets, energy, simple harmonic oscillator and 90—94
Eigenkets, Hermitian operators and 61
Eigenkets, observables and 17—18
Eigenkets, parity 255
Eigenkets, position 42—43
Eigenkets, simultaneous 30
Eigenkets, zeroth-order 298
Eigenspinors 277—278
Eigenstates 12
Eigenstates, angular momentum 188—195
Eigenstates, angular momentum, time reversal and 279—280
Eigenstates, angular momentum, Wigner — Eckart theorem and 239
Eigenstates, energy, parity properties of 255—256
Eigenstates, zeroth-order 347
Eigenvalues 12
Eigenvalues, angular momentum 188—195
Eigenvalues, degenerate 29
Eigenvalues, energy eigenkets and 74
Eigenvalues, energy, simple harmonic oscillator and 90—94
Eigenvalues, expectation values and 25
Eigenvalues, Hermitian operators and 17
Eigenvalues, orbital angular momentum squared and 31
Eikonal approximation 392—394
Eikonal approximation, partial waves and 404
Einstein — Debye theory 1
Einstein — Podolsky — Rosen paradox 277
Einstein, A. 226—227
Einstein’s locality principle 226—229
Elastic scattering 444—445
Electric dipole approximation 337—339
Electric fields, charged particles in 280—281
Electromagnetic fields, polarization vectors of, kets and 10
Electromagnetism, gauge transformations in 130—136
Electron spin, magnetic moment and 2—4
Emission, in classical radiation fields 335—337
Energy eigenkets 74—75
Energy eigenkets, simple harmonic oscillator and 90—94
Energy eigenstates, parity properties of 255—256
Energy eigenvalues, simple harmonic oscillator and 90—94
Energy shift, decay width and 341—345
Energy-time uncertainty relation, correlation amplitude and 78—80
Ensemble average, definition of 177
Ensemble average, density operator 176—181
Ensembles, canonical 185—187
Ensembles, completely random 175
Ensembles, completely random, density matrix of 183
Ensembles, mixed 176
Ensembles, pure 24 176
Ensembles, time evolution of 181—182
entropy 184
Equation of motion, Euler 243
Equation of motion, Heisenberg 83—84 95 243 249
Euclidian space 35
Euler angle notation 221
Euler rotations 171—174 243
Exchange degeneracy 358
Exchange density 365
expectation values 25 160
Expectation values, Hermitian operators and 35
Expectation values, time dependence of 75—76
Experimental verification, geometric phase of 469—470
Feenberg, Eugene 390
Fermi — Dirac statistics 361 376 378
fermions 361—363
Fermi’s Golden Rule 332
Feshbach, H. 113
Feynman, R.P. 116 118 488
Feynman’s formulation 117—123
Feynman’s path integral 121—123 138
Filtration 25—26
Fine structure, spin-orbit interaction and 304—307
Finite rotations, infinitesimal rotations and 152—155
Finite rotations, noncommutativity of 153
Finite rotations, spin 1/2 systems and 158—168
Finkelstein, R.J. 149
Form factor 431
Fourier decomposition 345
Fourier inversion formula 345
Fourier transform 431 482 483
Fractional population 175
Franck — Hertz Experiment 1
Frauenfelder, H. 279
Free particles, Heisenberg equation of motion and 85
Free particles, Schroedinger wave equation and 446—447
Free-particle states, scattering and 395—399
Fulton, t. 434
Fundamental commutation relations 50—51
Gasiorowicz, S. 488—489
Gauge invariance 135—136
Gauge transformations, constant potentials and 123—125
Gauge transformations, electromagnetism and 130—136
Gaussian potential 443
Gaussian wave packets 57—59 64 67 100 112
Gauss’s law 140
Gauss’s theorem 401
Geometric phase, experimental verification 469—470
Geometric phase, universality of 479—480
Geometrical phase, degeneracy point and 467—469
Geometrical phase, solid angle and 469
Gerlach, W. 2
Goldstein, H. 38 171 250
Gottfried, K. 26 147 311 348 349
Gravity, quantum mechanics and 126—129
Green’s function 111 390 424 441
Green’s operator 425
Hamilton — Jacobi equation 149 392
Hamilton — Jacobi theory 103
Hamilton, W.R. 100
Hamiltonian matrix, for two-state systems 348
Hamiltonian operator 71 90 98 99 143—145
Hamiltonian operator, time-dependent 73
Hamiltonian operator, time-independent 72—73
Hamiltonian operator, two-state systems and 62
Hamiltonian, of Coulomb interactions 435—438
Hamilton’s characteristic function 103—104
Hankel functions 405 439 453
Hankel’s formula 438
Hannay’s angle 480
Hard-sphere scattering 406—410
harmonic oscillator 346 see
Harmonic perturbation 333—335
Heisenberg equation of motion 83—84 95 243 249
Heisenberg picture 80 114—115 143—144 181 318—319
Heisenberg picture, base kets and 87—89
Heisenberg picture, state kets and observables and 82—83
Heisenberg uncertainty principle 3 58
Heisenberg, W. 1 48 50 100 187
Helium atom 366—370
Helmholtz equation 390
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