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Sakurai J.J. Ч Modern quantum mechanics
Sakurai J.J. Ч Modern quantum mechanics

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Ќазвание: Modern quantum mechanics

јвтор: Sakurai J.J.

јннотаци€:

Revised edition includes discussions of fundamental topics and newer developments such as neutron interferometer experiments, Feynman path integrals, correlation measurements, and Bell's inequality.


язык: en

–убрика: ‘изика/ вантова€ механика/”чебники/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1994

 оличество страниц: 500

ƒобавлена в каталог: 28.09.2005

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
$2\times 2$ Hermitian matrix      471
Abelian, definition of      49
Absorption, in classical radiation fields      335Ч337
Absorption-emission cycle      321Ч322
Adiabatic potential      474
Adiabatic potential, complex system and      473Ч474
Adiabatic theorem      464Ч465
Aharonov Ч Bohm effect      136Ч139 472Ч473
Airy function      108Ч109
Algebra, bra-ket      60
Alkali atoms, fine structure and      304Ч307
Angular frequency, Planck Ч Einstein relation and      71
Angular integration, helium atom and      367
Angular momentum addition      203Ч217
Angular momentum addition rule, proof of      456Ч457
Angular momentum addition, examples of      203Ч206
Angular momentum addition, formal theory of      206Ч210
Angular momentum commutation relations      187Ч189
Angular momentum commutation relations, $2\times 2$ matrix realizations      165
Angular momentum commutation relations, ladder operators and      188Ч189
Angular momentum commutation relations, rotations and      152Ч158
Angular momentum operator      156Ч157
Angular momentum operator, matrix elements of      191Ч192
Angular momentum, angular-velocity vector and      6
Angular momentum, eigenvalues and eigenstates of      188Ч195
Angular momentum, of silver atoms      2
Angular momentum, orbital      195Ч203
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      196Ч198
Angular momentum, orbital, spherical harmonics and      198Ч203
Angular momentum, SchwingerТs oscillator model of      217Ч223
Angular momentum, uncoupled oscillators and      217Ч221
Angular velocity vector, angular momentum and      6
Annihilation operator      90Ч91 147 218
Anomalous Zeeman effect      307
Anticommutation relations      28
Antilinear operator      269 273
Antisymmetrical states      257
Antiunitary operator      269 273 277 422Ч423
Argand diagram      403
Argon, Ramsauer Ч Townsend effect and      413
Associative axiom of multiplication      16Ч17
Atomic spectroscopy      159
Axial vectors      254
Baker Ч Hausdorff formula      96
Balmer splittings, fine structure splittings and      307
Base kets, change of basis in      36Ч37
Base kets, eigenkets as      18Ч20
Base kets, spin 1/2 systems and      22
Base kets, transition amplitudes and      87Ч89
Baym, G.      236
BellТs inequality, quantum mechanics and      229Ч232
Berry, M.V.      464 465
BerryТs phase      465Ч480
BerryТs phase and polarized light      479Ч480
Bessel functions, properties of      452Ч453
Bethe, H.A.      432
Biedenharn, L.C.      217
Bitter, T.      470
Bloch, F.      432
BlochТs theorem      265
Bohr atom      1
Bohr, N.      76 391 432
Boltzmann constant      184
Born amplitude, first-order      386 393 442 446
Born approximation      386Ч390 426 428 441
Born Ч Oppenheimer approximation      474
Born, M.      50 90 100 102 187
Bose Ч Einstein condensation      363
Bose Ч Einstein statistics      361
Bosons      361Ч363
Bound states, low-energy scattering and      410Ч418
Bound states, quasi-      419
Bound states, zero-energy scattering and      413Ч416
Bra space      13
Bra, matrix representation of      21
Bra-ket algebra      60
Breit Ч Wigner form      482 483
Breit Ч Wigner formula      421
Brillouin zone      265
Brillouin, L.      105
Canonical commutation relations      50Ч51
Canonical ensembles      185Ч187
Canonical momentum      130 135
Canonical momentum, definition of      249
Cartesian tensors      234Ч236
Cayley Ч Klein parameters      170
Central force problem, Schroedinger wave equation and      450Ч454
Classical physics, symmetry in      248Ч249
Classical radiation fields, absorption and stimulated emission      335Ч237
Clebsch Ч Gordan coefficients      206 238Ч240
Clebsch Ч Gordan coefficients, properties of      208Ч210
Clebsch Ч Gordan coefficients, recursion relations for      210Ч215
Clebsch Ч Gordan coefficients, rotation matrices and      215Ч217
Clebsch Ч Gordan series      216
Clebsch Ч Gordan series formula      237
Closure      19
Collective index      31 296
Color singlets      377
Commutation relations      28
Commutativity, angular momentum and      152Ч158
Commutators      66 86
Commutators, Poisson brackets and      50Ч51
Completeness relation      19
Complex conjugate transposed      20
Complex numbers, quantum mechanics and      27Ч28
Complex systems, adiabatic potential and      473Ч474
Complex vector space, spin states and      10
Compton effect      1
Constant potentials, gauge transformations and      123Ч125
Continuous spectra      41Ч42
Correlation amplitude, energy-time uncertainty relation and      78Ч80
Correlation function      146
Coulomb case, partial-wave analysis and      438Ч441
Coulomb interaction, Hamiltonian of, scattering solutions of      435Ч438
Coulomb scattering      433Ч441
Coulomb scattering amplitude      458Ч462
Coulomb scattering formalism, mathematical details of      458Ч463
Creation operator      90Ч91 147 218
Dalgarno, A.      298
Davisson Ч Germer Ч Thompson experiment      1
de Broglie, L.      47 68 100
de BroglieТs matter waves      1
Decay width, energy shift and      341Ч345
Decays, non-exponential      481Ч486
Degeneracy      29 61 250Ч251
Degeneracy point, geometrical phase factor and      467Ч469
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      176Ч181
Density operator, Hermitian      178
Density operator, pure vs. mixed ensembles and      174Ч187
Density operator, time evolution of      243
Detailed balance      335 424
Diagonalization      39Ч40 66 90
diamagnetic susceptibility      350
Dicke, R.H.      488
Differential cross section      385
Dipole operator      338
Dirac $\delta$ function      41
Dirac bra-ket notation      273
Dirac notation      8
Dirac notation, Clebsch Ч Gordan coefficients and      209
Dirac picture      319
Dirac, P.A.M.      1 11 23Ч24 50Ч52 84 107 118Ч119 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 325Ч326
Dyson, F.J.      73 326
Ehrenfest, P.      87
EhrenfestТs theorem      87 126 131
Eichinvarianz      135
Eigenbras, eigenkets and      13
Eigenfunctions      53
Eigenkets      12
Eigenkets, angular momentum      189Ч191
Eigenkets, as base kets      18Ч20
Eigenkets, direction      199
Eigenkets, eigenbras and      13
Eigenkets, energy      74Ч75
Eigenkets, energy, simple harmonic oscillator and      90Ч94
Eigenkets, Hermitian operators and      61
Eigenkets, observables and      17Ч18
Eigenkets, parity      255
Eigenkets, position      42Ч43
Eigenkets, simultaneous      30
Eigenkets, zeroth-order      298
Eigenspinors      277Ч278
Eigenstates      12
Eigenstates, angular momentum      188Ч195
Eigenstates, angular momentum, time reversal and      279Ч280
Eigenstates, angular momentum, Wigner Ч Eckart theorem and      239
Eigenstates, energy, parity properties of      255Ч256
Eigenstates, zeroth-order      347
Eigenvalues      12
Eigenvalues, angular momentum      188Ч195
Eigenvalues, degenerate      29
Eigenvalues, energy eigenkets and      74
Eigenvalues, energy, simple harmonic oscillator and      90Ч94
Eigenvalues, expectation values and      25
Eigenvalues, Hermitian operators and      17
Eigenvalues, orbital angular momentum squared and      31
Eikonal approximation      392Ч394
Eikonal approximation, partial waves and      404
Einstein Ч Debye theory      1
Einstein Ч Podolsky Ч Rosen paradox      277
Einstein, A.      226Ч227
EinsteinТs locality principle      226Ч229
Elastic scattering      444Ч445
Electric dipole approximation      337Ч339
Electric fields, charged particles in      280Ч281
Electromagnetic fields, polarization vectors of, kets and      10
Electromagnetism, gauge transformations in      130Ч136
Electron spin, magnetic moment and      2Ч4
Emission, in classical radiation fields      335Ч337
Energy eigenkets      74Ч75
Energy eigenkets, simple harmonic oscillator and      90Ч94
Energy eigenstates, parity properties of      255Ч256
Energy eigenvalues, simple harmonic oscillator and      90Ч94
Energy shift, decay width and      341Ч345
Energy-time uncertainty relation, correlation amplitude and      78Ч80
Ensemble average, definition of      177
Ensemble average, density operator      176Ч181
Ensembles, canonical      185Ч187
Ensembles, completely random      175
Ensembles, completely random, density matrix of      183
Ensembles, mixed      176
Ensembles, pure      24 176
Ensembles, time evolution of      181Ч182
entropy      184
Equation of motion, Euler      243
Equation of motion, Heisenberg      83Ч84 95 243 249
Euclidian space      35
Euler angle notation      221
Euler rotations      171Ч174 243
Exchange degeneracy      358
Exchange density      365
expectation values      25 160
Expectation values, Hermitian operators and      35
Expectation values, time dependence of      75Ч76
Experimental verification, geometric phase of      469Ч470
Feenberg, Eugene      390
Fermi Ч Dirac statistics      361 376 378
fermions      361Ч363
FermiТs Golden Rule      332
Feshbach, H.      113
Feynman, R.P.      116 118 488
FeynmanТs formulation      117Ч123
FeynmanТs path integral      121Ч123 138
Filtration      25Ч26
Fine structure, spin-orbit interaction and      304Ч307
Finite rotations, infinitesimal rotations and      152Ч155
Finite rotations, noncommutativity of      153
Finite rotations, spin 1/2 systems and      158Ч168
Finkelstein, R.J.      149
Form factor      431
Fourier decomposition      345
Fourier inversion formula      345
Fourier transform      431 482 483
Fractional population      175
Franck Ч Hertz Experiment      1
Frauenfelder, H.      279
Free particles, Heisenberg equation of motion and      85
Free particles, Schroedinger wave equation and      446Ч447
Free-particle states, scattering and      395Ч399
Fulton, t.      434
Fundamental commutation relations      50Ч51
Gasiorowicz, S.      488Ч489
Gauge invariance      135Ч136
Gauge transformations, constant potentials and      123Ч125
Gauge transformations, electromagnetism and      130Ч136
Gaussian potential      443
Gaussian wave packets      57Ч59 64 67 100 112
GaussТs law      140
GaussТs theorem      401
Geometric phase, experimental verification      469Ч470
Geometric phase, universality of      479Ч480
Geometrical phase, degeneracy point and      467Ч469
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      126Ч129
GreenТs function      111 390 424 441
GreenТs operator      425
Hamilton Ч Jacobi equation      149 392
Hamilton Ч Jacobi theory      103
Hamilton, W.R.      100
Hamiltonian matrix, for two-state systems      348
Hamiltonian operator      71 90 98 99 143Ч145
Hamiltonian operator, time-dependent      73
Hamiltonian operator, time-independent      72Ч73
Hamiltonian operator, two-state systems and      62
Hamiltonian, of Coulomb interactions      435Ч438
HamiltonТs characteristic function      103Ч104
Hankel functions      405 439 453
HankelТs formula      438
HannayТs angle      480
Hard-sphere scattering      406Ч410
harmonic oscillator      346 see
Harmonic perturbation      333Ч335
Heisenberg equation of motion      83Ч84 95 243 249
Heisenberg picture      80 114Ч115 143Ч144 181 318Ч319
Heisenberg picture, base kets and      87Ч89
Heisenberg picture, state kets and observables and      82Ч83
Heisenberg uncertainty principle      3 58
Heisenberg, W.      1 48 50 100 187
Helium atom      366Ч370
Helmholtz equation      390
1 2 3
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