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| Jauch J.M. — Foundations of quantum mechanics |
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| Предметный указатель |
Localizability 123 196 222
Logic (formal) 77
London, F. 191
Loomis, L. H. 88 125 133
Ludwig, G. 88 191
Mach, E. 69 222
Mackey, G. 103 110 119 201 221
Maeda, S. 88
Maximal symmetrical operator 41
Maxwell, J. G. 67
Measurable,  -valued 98
Measurable, comparable 8
Measurable, convergence in the 12
Measurable, discrete 8
Measurable, equivalent 8 51
Measurable, function 11 55
Measurable, Lebesgue 7
Measurable, Lebesgue — Stieltjes 8
Measurable, quasi-invariant 202
Measurable, set 7
Measurable, set of, zero 7
Measurable, spectral 39 50 197
Measure(s), absolutely continuous 8 14 58
Measurement of the first kind 165
Measurement of the second kind 165
Measurement, ideal 166 167
Measuring process 163 183
Menger, K. 134
Messiah, A. 268
Minkowski’s inequality (triangle inequality) 21
Misra, B. 64 120 272 280 287
Mittelstaedt, P. 89
Mixture 96
Modular lattice 83 122 219
Modular lattice, weakly 86
Momentum of a particle 237
Momentum, angular 228
Momentum, operator 43 210
Morphism 136
Morphism, automorphism 136 142 144 153
Morphism, homomorphism 138
Morphism, inner automorphism 138
Murray, F. J. 133
Nagy, B. Sz. 17 29 45 64 205 221
Neveu, J. 110
Newton, T. D. 221
Nietzsche, F. 160
Nikodym, O. 14
Norm of, a linear functional 30
Norm of, a linear operator 34
Norm of, a vector 19
Observable(s) 98 99
Observable(s), compatible 101
Operator(s), adjoint 35
Operator(s), annihilation (destruction) 44 211 282 285
Operator(s), bounded linear 33 55
Operator(s), closed 40 41
Operator(s), continuous 34
Operator(s), creation 44 211 282 285
Operator(s), density 132
Operator(s), displacement 198
Operator(s), domain of an 33
Operator(s), essentially self-adjoint 41
Operator(s), extension of an 34
Operator(s), identity 35
Operator(s), inverse 34
Operator(s), maximal 41
Operator(s), maximal symmetrical 41
Operator(s), momentum 210
Operator(s), multiplication with scalar 36
Operator(s), norm of a bounded linear 34
Operator(s), partial isometry 35
Operator(s), position 42 197
Operator(s), positive 36
Operator(s), product of 35 42
Operator(s), projection 35 37
Operator(s), range of an 33
Operator(s), resolvent 49
Operator(s), self-adjoint 35 41 50 54
Operator(s), shift 36
Operator(s), sum of 34 42
Operator(s), symmetrical 41
Operator(s), tensor 234
Operator(s), total number 282 286
Operator(s), unbounded linear 34 40
Operator(s), unitary 36
Operator(s), vector 233
Order (partial) 74
Orthocomplementation 76 129
Orthocomplemented lattice 77 129
Orthogonal, complement 25
Orthogonal, subspaces 25
Orthogonal, vectors 21
Orthonormal, sequence of vectors 21
Orthonormal, system 22
Orthonormal, system complete 22
Paradox, Einstein, Podolsky, Rosen 185
Paradox, Einstein, Podolsky, Rosen, Schroedinger’s cat 185
Paradox, Einstein, Podolsky, Rosen, Wigner’s friend 187
Parallelogram law 22
Parastatistics 279
Parseval’s equation 63
Partial, isometry 35
Partial, order 74
Particle, elementary 205
Particle, free 209
Pauli matrices 255
Pauli, W. Ill 120 191 247 287
Phase factors 146
Physical system 71
Picture, Dirac (or interaction) 157
Picture, Heisenberg 155
Picture, Schroedinger 155
Pierce, C. S. 18
Piron, C. 88 120 133 150
Planck’s constant 210
Plessner, A. 199 221
Podolsky, B. 185 186 187 190 192
Point 125 see
Polarization law 33
Pontryagin, L. 150
Position operator 42 197
Probability, current 240
Probability, density 239
Product, of operators 35 42
Product, scalar 19
Product, tensor 176 270 273
Product, topological 176
Projection operator 35 37
Projections, commuting 39
Projections, compatible 86
Projective, geometry 123 127 128
Projective, representation 145 146
Proposition(s) 73
Proposition(s), absurd 76
Proposition(s), compatible set of 81 95
Proposition(s), disjoint 86 95
Proposition(s), minimal see Atomic proposition
Proposition(s), system 87
Proposition(s), triviul 76
Radon — Nikodym, derivative 15 61
Radon — Nikodym, theorem 14
Radon, J. 14
Random variable see Observable(s)
Range of, a function 9
Range of, an observable 99
Range of, an operator 33
Reduction of an operator 42
Regular value 52
Reichenbach, H. 89
| Rellich, F. 205 221
Representation, induced 203
Representation, occupation number 281
Representation, projective, of a group 145 146
Representation, Schroedinger 200
Resolvent operator 49 53
Rey, A. 69
Riesz, F. 17 29 31 45 64
Riesz’s theorem 31
Ring 5
Ring,  5
Ring, generated by a class of sets 5
Rose, G. 88
Rosen, N. 185 186 187 190 192
Rotation 228
Rotation, axis 228
Rotation, proper 228
Russell, B. 287
Scalar product 19
Scalar product, positive definite 20
Scalettar, R. 88
Scheibe, E. 89
Schiff, L. I. 45
Schroedinger, cat paradox 185
Schroedinger, E. 185 190 191
Schroedinger, equation 154
Schroedinger, picture 155
Schroedinger, representation 200
Schwartz, J. T. 17
Schwartz’s inequality 21
Scotus, D. 275
Secular equation 47
Segal, I. E. 104 110
Self-adjoint operator 35 41 50
Self-adjoint operator, essentially 35
Separable, proposition system 100
Separable, space 100
Separable, sublattice 19 100
Sequence, Cauchy 16 19 26
Sequence, dense 19
Set(s), Borel 6
Set(s), class of sub- 4
Set(s), compatible, of propositions 81
Set(s), disjoint 4
Set(s), empty 4
Set(s), open sub- 11
Set(s), sub- 4
Set(s), total 80
Set(s), x-null 100
Space inversion 241 260
Space inversion, operator 242
Space,  16
Space,  23
Space, compact 142
Space, complete 16 19
Space, completion of a 20
Space, dimension of a 20
Space, dual 31
Space, Fock 281
Space, function 16
Space, Hilbert 75 131
Space, homogeneous 198
Space, linear vector 18
Space, measure 7
Space, separable 19
Space, topological 10 11
Spectral, density 58 59
Spectral, family 54
Spectral, measure 39 50 197
Spectral, representation 48 56 61
Spectral, theorem 53
Spectrum 52
Spectrum, continuous 52
Spectrum, discrete 52
Spectrum, of an observable 100
Spectrum, simple 47 49 57 59
Speiser, D. 134
Spherical harmonics 231
Spin 249 267
Spin,  249
Spin, isotopic 249
Spin, space 253
Spin, state 252
State(s) 91 94 112
State(s), classical 172
State(s), dispersion of a 96 114
State(s), dispersion-free 96 114
State(s), equivalent 170
State(s), macro 171
State(s), micro 171
State(s), mixture of 96
State(s), pure 96 115 132 181
State(s), reduced 181
State(s), spin 252
State(s), vacuum 282
State(s), vector 132
Statistics, Einstein — Bose 278
Statistics, Fermi — Dirac 278
Statistics, para- 279
Stern — Gerlach experiment 252
Stone, M. H. 29 57 125 133 221
Stone’s theorem 57
Strong, convergence 21
Strong, interaction 249
Structure constants of a Lie algebra 141
Stueckelberg, E. C. G. 131 134
SU(2) group 254
Subspace(s) (closed linear manifold) 20 24
Subspace(s) (closed linear manifold), compatible 28
Subspace(s) (closed linear manifold), disjoint 28
Superposition principle 106 108
Superselection rules 109
Superselection rules, abelian 280
Symmetrical, maximal 41
Symmetrical, operator 41
Symmetrical, subspace 279
Symmetry of a lattice see Automorphism
System of imprimitivities 202
System of imprimitivities, canonical 203
System of imprimitivities, irreducible 204 205
System of imprimitivities, transitive 203
System, classical 78 80
System, complete, of observables 101
System, composite 196
System, conservative 156
System, nonconservative 157
System, of propositions 87
System, physical 71
System, separable, of propositions 100
Szasz, G. 88
Thomas factor 263
Thomas, L. H. 263 268
Time, evolution 151
Time, reversal 244 260
Time, reversal, operator 244 245
Titchmarsh, E. C. 64
Topological space 11
Transformation, Fourier 63 243
Transformation, gauge 237
Transformation, of states 145
Transformation, semilinear 144
Uhlhorn, U. 150
Uncertainty relation 162
Union, direct, of lattices 81
Union, of sets 3
Union, of subspuces 26 38
Union, of systems 179
Unitary operator 36
Universal covering group 141
Value, eigen- 47
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