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                    | Sakurai J.J. — Modern quantum mechanics |  
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                    | Ïðåäìåòíûé óêàçàòåëü |  
                    | | Schroedinger equation      56 71—73 126 129 138 181 281 299 366 406 424 425 435 Schroedinger equation, complex systems and      474
 Schroedinger equation, time-dependent      426 429 465
 Schroedinger picture      80 144—145 181 318—319 327 343
 Schroedinger picture, base kets in      87—89
 Schroedinger picture, state kets and observables in      82—83
 Schroedinger wave equation      97—109 131 134 267
 Schroedinger wave equation, Feynman’s path integral and      121—123
 Schroedinger wave equation, semiclassical (WKB) approximation of      104—109
 Schroedinger wave equation, solutions to      446—455
 Schroedinger wave equation, time-dependent      97—98
 Schroedinger wave equation, time-independent      99—100
 Schroedinger wave function      276
 Schroedinger wave function, interpretations of      101—103
 Schroedinger, E.      1 68 99 101
 Schroedinger’s equation, two-dimensional      477
 Schwartz inequality      35 64
 Schwinger action principle      149
 Schwinger, J.      26 46 217 221 324
 Selective measurement      25—26
 Silver atom beams, polarized vs. unpolarized      174—176
 Silver atoms, spin states of, complex vector space and      10
 Silver atoms, spin states of, representation of      8—10
 Silver atoms, Stern — Gerlach experiment and      2—4
 Similarity transformation      38
 Simple harmonic oscillator      89—97 145 146 188
 Simple harmonic oscillator, energy eigenkets and eigenvalues of      90—94
 Simple harmonic oscillator, ground state of      92
 Simple harmonic oscillator, one-dimensional, ground-state energy of      350
 Simple harmonic oscillator, parity properties of      256
 Simple harmonic oscillator, perturbation and      294—296 345—346
 Simple harmonic oscillator, Schroedinger wave equation and      450
 Simple harmonic oscillator, time development of      94—97
 Simultaneous eigenkets      30
 Singlets      354 377
 Sodium atoms, fine structure and      304—307
 Sodium D lines      306
 Solid angle, geometrical phase factor and      469
 Sommerfled, A.      107
 Space inversion      see "Parity"
 Space quantization      4
 Spatial displacement      see "Translation"
 Specific heats, Einstein — Debye theory of      1
 Spherical harmonics, helium atom and      367
 Spherical harmonics, Laguerre times      445
 Spherical harmonics, orbital angular momentum and      198—203
 Spherical harmonics, orthogonality of      216
 Spherical tensors      234—236
 Spherical-wave states      395
 Spin 1/2 particles, spin operator for      204—205
 Spin 1/2 systems      22—23 26—29 61
 Spin 1/2 systems, anticommutation relations and      28
 Spin 1/2 systems, canonical ensembles and      186—187
 Spin 1/2 systems, dispersion in      35
 Spin 1/2 systems, eigenvalues-eigenket relations in      12
 Spin 1/2 systems, rotations of      158—168
 Spin 1/2 systems, rotations of,
  matrix and      170 Spin 1/2 systems, spin precession and      76—78
 Spin 1/2 systems, time reversal for      277—280
 Spin 1/2 systems, time-evolution operator and      69—70
 Spin correlations, spin-singlet states and      223—226
 Spin magnetic resonance      322—324
 Spin operator for spin 1/2 particles      204—205
 Spin operator of spin 1/2 systems      160
 Spin precession      76—78 161—162 305 323
 Spin states of silver atoms      8—10
 Spin states, complex vector space and      10
 Spin-angular functions, definition of      215
 Spin-orbit interaction, fine structure and      304—307
 Spin-singlet states, spin correlations in      223—226
 Spinors, two-component      164
 Square-well potential, Schroedinger wave equation and      448
 State kets, Schroedinger and Heisenberg pictures and      82—83
 State kets, time and      69—71
 State vectors      11
 Stationary states      76
 Stern — Gerlach experiment      2—10
 Stern — Gerlach experiment, description of      2—4
 Stern — Gerlach experiment, light polarization and      6—10
 Stern — Gerlach experiment, sequential      4—6
 Stern, O.      2
 Stoke’s Theorem      137
 Stopping power, inelastic-scattering and      432
 Sturm — Liouville theory      202
 Sudarshan, E.C.G.      484
 Suzuki, Yasunaga      464
 Symmetrical double-well potential      256—259
 Symmetrical states      257
 Symmetrization postulate      361—363
 Symmetry in classical physics      248—249
 Symmetry operator      249
 Symmetry, discrete, lattice translation as      261—266
 Symmetry, discrete, time-reversal      266—282
 Symmetry, in quantum mechanics      249—250
 Symmetry, permutation      357—361
 Symmetry, permutation, Young tableaux and      370—377
 Symmetry, scattering and      422—424
 Taylor expansion      195
 Tensors      232—242 see
 Tensors, matrix elements of      238—242
 Tensors, product of      236—238
 Tensors, rank of      234
 Thomas precession      305
 
 | Thomas — Reiche — Khun sum rule      338 Thomas, L.H.      305
 Threshold behavior      411
 Tight-binding approximation      263 265
 Time evolution operator      69—71 250 326
 Time evolution operator, Heisenberg equation of motion and      84
 Time evolution operator, infinitesimal      70
 Time evolution operator, Schroedinger equation and      71—73
 Time evolution, of ensembles      181—182
 Time reversal      266—282
 Time reversal operator      271—275
 Time reversal operator, wave function and      275—277
 Time reversal, Kramers degeneracy and      281
 Time reversal, spin 1/2 systems and      277—280
 Time-dependent potentials      316—325
 Trace, definition of      38
 Transformation functions      55—56
 Transformation matrix      37—39
 Transformation matrix, diagonalization and      66
 Transformation operator      36—37
 Transition amplitudes, base kets and      87—89
 Transition amplitudes, composition property of      115
 Transition amplitudes, propagators as      114—116
 Transition probability      327—328
 Transition rate      332
 Translation      44—46
 Translation operator, physical interpretation of      188—189
 Translation, infinitesimal      44
 Translation, momentum as generator of      46—50
 Transmission-reflection, Schroedinger wave equation and      448—449
 Two-electron systems      363—366
 Two-level crossing, general consideration of      471—472
 Two-state problems, perturbation theory and      286—288
 Two-state problems, time-dependent      320—322
 Two-state systems, Hamiltonian matrix for      348
 Two-state systems, Hamiltonian operator for      62
 Two-state systems, Stern — Gerlach      2
 Uncertainty principle, Heisenberg      3
 Uncertainty relation      34—36
 Uncertainty relation, energy-time, correlation amplitude and      78—80
 Unitarity      401—404
 Unitarity relation      402
 Unitary circle      404
 Unitary equivalent observables      40—41
 Unitary operator      37 80—82 249
 Unitary transform      40
 Unitary unimodular matrix      169—71
 Unpolarized beams      174—176
 Unsold, A.      369
 Vacuum ket, definition of      218
 van Dam, H.      217
 Van der Waals’ interactions      311—312
 Variance      34
 Vector operator      232—233
 Vector operator, defining property of      233
 Vectors      see also "Specific type"
 Vectors, definition of      232
 Vectors, transformation properties of      166
 Virtual transitions      333
 von Neumann, J.      176
 Watson, G.N.      442
 Wave equations, Feynman’s path integral and      121—123
 Wave equations, Schroedinger’s      97—109 131 134 267
 Wave equations, Semiclassical (WKB) approximation of      104—109
 Wave equations, solutions to      446—455
 Wave equations, time-dependent      97—98
 Wave equations, time-independent      99—100
 Wave functions, momentum-space      55—57 67 146
 Wave functions, position-space      51—53
 Wave functions, renormalization of      293—294
 Wave functions, Schroedinger      101—103 276
 Wave functions, time reversal and      275—277
 Wave functions, under parity      254—256
 Wave mechanics      98
 Wave mechanics, classical limit of      103—104
 Wave mechanics, probability density in      101
 Wave mechanics, propagators in      109—114
 Wave packets, Gaussian      57—59 64 67 100 112
 Wave packets, minimum uncertainty      58
 Wave packets, scattering and      385—386
 Wentzel, G.      105
 Weyl, H.      100
 Whiskers, Aharonov — Bohm effect and      139
 Whittaker, E.T.      442
 Wiener, N.      90 483
 Wigner functions      192
 Wigner — Eckart theorem      239—242 247 280 297 399
 Wigner, E.P.      192 221 227 260 281 345 415
 Wigner’s 3-j symbol      210
 Wigner’s formula      223
 Wilson, E.B.      489
 Wilson, W.      107
 Wittke, J.P.      488
 Xenon, Ramsauer — Townsend effect and      413
 y-axis, space fixed, Euler rotations and      171
 Young tableaux, permutation symmetry and      370—377
 Young, A.      370
 Yukawa potential      431 442 445 447
 Yukawa potential, scattering by      387—388
 Zeeman effect      307—311
 Zeeman splitting      346—347
 Zero-energy scattering, bound states and      413—416
 Zeroth-order eigenkets      298
 Zeroth-order energy eigenstates      347
 
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