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Pugovecki E. — Quantum mechanics in hilbert space
Pugovecki E. — Quantum mechanics in hilbert space



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Название: Quantum mechanics in hilbert space

Автор: Pugovecki E.

Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1971

Количество страниц: 648

Добавлена в каталог: 27.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Accumulation point      27
Additive class      see Algebra Boolean
Akhiezer, N.I.      256 309 595
Algebra, associative      174
Algebra, boolean      58 60
Algebra, commutative      175
Algebra, generated by observables      276
Antoine, J.-P.      186 595
Asymptotic condition, physical      432 434
Asymptotic states in classical mechanics      393
Asymptotic states in multichannel scattering      578
Asymptotic states in potential scattering      541
Asymptotic states of interaction picture      451
Asymptotic states, incoming      394 395
Asymptotic states, outgoing      394 395
Axioms      2
Axioms for spin and statistics      309
Banach space      30
Bateman, H.      166 595
Bauer's formula      570
Belinfante, J.G.      594 595
Berezanskii, Yu. M.      594 595
Bessel's inequality      38
Bilinear form      137
Birkhoff, G.      56 595
Birman, M.S.      594 595
Borel set      62
Born approximations      533
Born, M.      46 260 595
Bose — Einstein statistics      307
Bosons      353
Bound state      49
Bound state, energy eigenvalues of      49
Bounded variation      442
Brascamp, H.J.      594 598
Butkov, E.      468 595 639
Canonical commutation relations      329
Canonical commutation relations, irreducible representation      341
Canonical commutation relations, reducible representation      341
Canonical commutation relations, representation of      331
Canonical form      see Spectral representation space of operators
Channel, arrangement      574
Channel, concept of      574
Channel, energy      575
Channel, incoming      575
Channel, outgoing      575
Characteristic function      81
Characteristic subspace      227
Characteristic value      see Eigenvalue
Characteristic vector      see Eigenvector
Closed graph theorem      210
Closure      27
Cluster poin      see Accumulation point
Collision, rearrangement      576
Confluent hypergeometric equation      165
Confluent hypergeometric function      165
Copenhagen school      see Measurement
Correspondence rule      3 259
Courant, R.      595
Cross section, differential      403
Cross section, total      403
de Alfaro, V.      572 594 595
Decomposition of identity      see Spectral function
Deficiency index      223
Deficiency subspace      223
Dennery, P.      56 595
Diffraction effect      7
Dirac delta function      478
Dirac, P.A.M.      1 18 311 595
Direct sum of Euclidean spaces      133
Distance function      see Metric
Dixmier, J.      171 595
Dollard, J.D.      428 593 595
Dynamical law      2
Eigenfunction      462
Eigennumber      462
Eigenvalue      48 226
Eigenvalue equation      47
Eigenvalue, degenerate      49
Eigenvalue, multiplicity of      500
Eigenvalue, nondegenerate      49
Eigenvector      226
Energy shell      476
Ensemble, state of      386
Equal a priori probabilities, principle of      388
Equation of motion      3
Equivalence class      28
Equivalence relation      27
Euclidean spaces      18
Euclidean spacescomplete orthonormal system in      see Euclidean spaces orthonormal
Euclidean spacesisomorphism of      23
Euclidean spacesorthogonal basis in      36
Euclidean spacestensor products of      137
Euclidean spacesunitary equivalent      see Euclidean spaces isomorphism
expectation value      263 277 see
Extension Principle      188
Fadeev, L.D.      594 595
Fatou's lemma      287
Fermi — Dirac statistics      307
fermions      353
Field      58 see Boolean
Fomin, S.V.      171 597
Fourier coefficient      38
Fragments      574
Fragments, internal energy of      579
Fredhold determinant, modified      492
Fredhold determinant, modified, first minor of      492
Fredholm theory      491
Free states      395 396
Friedrichs, K.      595
Fubini's theorem      96
Function, appropriate symmetrization of      312
Function, Hoelder continuous      561
Function, Riemann integrable      90
Function, spectral      235
Function, square integrable      101
Function, total variation of      444
Functional      see also Vector spaces
Functional, bounded      182
Functional, continuous      182
Functional, linear      182
Garding, L.      342 596
Gelfand triples      see Hilbert spaces rigged
Gibson, A.G.      593 596
Glazman, I.M.      256 309 595
Gottfried, K.      171 596
Green function      470
Green function, advanced      471
Green function, free advanced      489
Green function, free retarded      489
Green function, full      492 493
Green function, full, series expansion of      494
Green function, retarded      471
Green function, symmetry properties of      498
Green, T.A.      550 594 596
Ground state      168
Hack, M.N.      594 596
Hahn's theorem      237
Halmos, P.R.      81 171 287 596
Hamiltonian      286
Hamiltonian of arrangement channel      579
Hamiltonian, eigenfunction expansion for      469
Hamiltonian, internal free      419
harmonic oscillator      5 5
Hefner, H.      262 598
Heisenberg's equation      3 294
Heisenberg's picture      293
Heisenberg's uncertainty principle      8
Heisenberg, W.      1 6 296 596
Hellinger and Toeplitz theorem      195
Hilbert spaces      30 32 33 41 109 220
Hilbert spaces, Hilbert tensor products of      144 145
Hilbert spaces, isometric transformation of      212
Hilbert spaces, rigged      186
Hilbert, D.      595
Howland, J.S.      594 596
Hunziker, W.      594 596
Ikebe, T.      514 536 549 569 594 596
Ince, E.L.      596
Incident flux      403
Indicial equation      165
Inner product      18
Integral, Booliner      457
Integral, Lebesgue      90 114
Integral, Riemann — Stieltjes      440
Integral, Riemann — Stieltjes cross-iterated      441
Integral, Riemann — Stieltjes, improper      441
Interacting state      397
Interaction picture      298
Intertwining property      see Wave opration
Isometric operators and transfortmations      212
Isomorphism of Euclidean spaces      23
Jauch, J.M.      390 428 593 594 596
Jordan, T.F.      439 593 594 596
Kato, T.      256 365 367 390 506 530 594 596
Kernel, $L^1$      see Hilbert — Schmidt kernel
Kernel, Hilbert — Schmidt      491 492
Kernel, time class      491
Kodaira, K.      594 597
Kolmogorov, A.N.      171 597
Krein, M.G.      594 595
Krzywicki, A.      56 595
Kummer's series      165
Kuroda, S.T.      594 596 597
Laguerre functions      170
Landau, L.D.      594 597
Lanford, O.E.      III 550 594 596
Lax, P.D.      597
Lebcsguc bounded convergence theorem      287
Lebesgue integral      see Integral
Lebesgue monotone convergence theorem      92
Legendre functions, associated      152
Legendre polynomials, associated      167
Lifshitz, E.M.      56 171 597
Limic, N.      594 597
Limit point      503 see
Limit point, Weyl's criterion for      503
Limit, weak, strong, uniform      see Operators sequences
Linear manifold      see Vector spaces
Linear operator      see Operators
Linear space      see Vector spaces
Linear subspace      see Vector subspace
Lippmann — Schwinger equations, perturbation solution of      456
Lippmann — Schwinger equations, Type I      447 529
Lippmann — Schwinger equations, Type I, integral version of      482
Lippmann — Schwinger equations, Type II      449 483
Low equation      481
Luguerre polynomials      170
Luguerre polynomials, generating functions of      171
MacLane, S.      56 595
Mapping, Borel measurable      115
Mapping, isometric      27
Mapping, isomorphism      175
Margenau, H.      262 390 597
Massey, H.S.W.      533 597
Matrix mechanics      297
Mean value theorem      461
Measurable space      67
Measurable space, simple      81
Measure      58 67
Measure spaces      76
Measure spaces, Cartesian product of      77
Measure, complex      232
Measure, continuous      240
Measure, extension of      70
Measure, finite      67 79 232
Measure, inner      79
Measure, Lebesgue      67 78 79 114
Measure, Lebesgue — Stieltjes      79
Measure, lower variation of      239
Measure, outer      71
Measure, probability      68
Measure, signed      236 237
Measure, spectral      231 407
Measure, upper variation      239
Measurement, determinative      6 401
Measurement, determinative, Born's correspondence rule for      262
Measurement, preparatory      6 264 266
Measurement, theory of      4 262 264
Messiah, A.      1 56 170 171 330 597
Metric      25
Metric space      25
Metric space, complete      26
Metric space, densely embedded      27
Misra, B.      390 593 596
Munroe, M.E.      90 171 597
Naimark, M.A.      56 597
Neighborhood      27
Nelson, E.      268 597
Nering, E.D.      56 597
Newton, R.G.      481 594 597
Norm      20
Norm, completeness in      30
Norm, convergence in      30
Norm, Hilbert — Schmidt      378
Norm, trace norm      379
Observables      2
Observables, compatible      260 262
Observables, complete set of      316 384
Observables, fundamental      270
Operators, adjoint      188
Operators, antilinear      173 see antilinear
Operators, bound of      178
Operators, bounded      242
Operators, bounded from above      501
Operators, bounded from below      501
Operators, canonically conjugate      329
Operators, closed      191
Operators, complete set of      315
Operators, completely continuous      368
Operators, density      see Statistical operator
Operators, essentially self-adjoint      358
Operators, function of      272
Operators, graph of      191
Operators, Hermitian      127
Operators, Hilbert — Schmidt      376 491
Operators, hypermaximal      see Self-adjoint operators
Operators, linear      173 186 192 see linear
Operators, linear, closure of      355
Operators, matrix representation of      175 176
Operators, monotone sequences of      242
Operators, projection      see Projector
Operators, self-adjoint      see Self-adjoint operators
Operators, sequences, strong limit of      230 231
Operators, sequences, uniform limit of      230
Operators, sequences, weak limit of      230 231
Operators, symmetric      192
Optical theorem      480
Optical theorem, generalized      479
Pap, A.      47 597
Park, J.L.      262 597
Parseval's relation      38
Partially isometric operators      417
Pauli's exclusion principle      168 307
Phase shifts      468 569
Phase space      2
Phillips, R.S.      597
Physical interpretation      see Measurement theory
Planck constant      46
Plane waves, advanced distorted      466
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