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| Gudder S.P. — Stochastic methods in quantum mechanics |
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| Предметный указатель |
Rapidly decreasing functions 112
Rayleigh — Jeans formula 1 2
Relativistic co variance 181 182 183
Representation 133 137 194
Representation, closed 138
Representation, complex 175
Representation, continuous 133
Representation, cyclic 134 175
Representation, equivalent 134
Representation, unitary 166 168 169
Resolution of identity 7
Rutherford, E. 3
Sample path 142
Schrodinger equation 7 8 9
Schrodinger operators 25
Schrodinger, E. 5
Schwartz, L. 139
Schwarz’s inequality 132
Segal, I. 199
Seminorm 111
Seminorm, separating 111 112
Simon, B. 198
Space-time 179
Spacelikeness 180
Spacelikeness, separated 180 181 186
span 11
Spectral lines 3
Spectral theorem 38
Spectroscopy 3 4
Spectrum 51
Spectrum, condition 182 183
Standard deviation 9
State 7 36 39 42 76 129 132
State, 0—1 62
State, faithful 32
State, generalized 79
State, invariant 186
State, mixed 8 12
State, pure 8 12 17 76
State, space 97
Statistical inference 33
Stochastic process 93 141
Stochastic process, dual Markovian 94 104
Stochastic process, quantum 93 94 103
Stochastic process, second-order 160
Stone, M. 75
Strawther, D. 139
Strong convexity 55
| Strong order determinance 52
Strongly independent values 149 150 151
Sub- -lattice 30
Subadditivity 21 70
subspace 95
Summability 72
Sundaresan, K. 139
Superposition 14 33
Superposition, principle 33
Suppes, P. 72
Support 120
Temperature 1
Tempered dstribution 113
Tensor product 25
Timelikeness 180
Timelikeness, separated 180
Topology, induced 138
Topology, weak* 79
Topology, weak-operator 12
Translation operator 120
Two-valued homomorphism 62
Tychonov’s theorem 64
Ultraviolet catastrophy 2
Uncertainty principle 5 6 9 17 51
union 11
Urbanik, K. 151
Vacuum, expectation values 183
Vacuum, vector 182 191
Varadarajan, V. 35 72
Variance 9 51
Variance, formula 52
Vilenkin, N. 162 174
von Neumann alegbra 31
von Neumann uniqueness theorem 24 25 167 178
von Neumann, J. 7 10 12 18 35
Wave equation 5
Wave function 7 17
Wavenumber 2
Weyl relation 24
White noise 162
Wick power 155 156 157
Wick product 157
Wiener, N. 143
Wiener, N., integral 143
Wiener, N., process 143 163
Wightman axioms 179 182
Wightman distributions 183
Wightman quantum field 182 187 196 197 198
Wightman, A. 179
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