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Gudder S.P. — Stochastic methods in quantum mechanics
Gudder S.P. — Stochastic methods in quantum mechanics

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Название: Stochastic methods in quantum mechanics

Автор: Gudder S.P.

Язык: en

Рубрика: Физика/Квантовая механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1979

Количество страниц: 219

Добавлена в каталог: 11.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\sigma$-algebra      10
$\sigma$-class      68 69
$\sigma$-convex structure      77
$\sigma$-isomorphism      20
$\sigma$-orthocompleteness      42
Absolute continuity      29 37
action      169
Action, quasi-invariant      169
Additivity      72
Adjoint      116
Affine functionals      77
Algebra, Banach      132
Algebra, C*      131 132
Algebra, normed      132
Algebraic approach      137
angular momentum      4
Annihilation operator      192
Antilattice      57
Approximate observable position      105
atom      3 60
Atom, hydrogen      5
atomic      60 102 129
Averaging property      90
Beam      76 81
Beam, strength      76 80
Birkhoff, G.      35
Bohr postulates      4 5
Bohr, N.      3 4
Boltzmann’s constant      1
Boolean $\sigma$-algebra      47 48
Boolean $\sigma$-algebra, separable      49
Borchers, H.      199
Borel sets      10
Borel — Cantelli theorem      23
Born, M.      6 7
Boson      190
Boson, subspace      190
Brown, R.      142
Canonical commutation relations (CCR)      166 198
Canonical commutation relations (CCR), Heisenberg form      166
Canonical commutation relations (CCR), Schrodinger form      166
Canonical commutation relations (CCR), Weyl form      166 174
Canonical pair      24
Canonical pair, identically distributed      26
Canonical pair, independent      26
Cantelli’s lemma      23
Cantoni, V.      36 38
Center      60
Central limit theorem      24 27
Characteristic function      147
Characteristic function, joint      148
Chebyshev’s inequality      51
Classical mechanics      2 3 8
Cluster property      184
Commutation relation      9 24
Compatant      48
Compatibility      44 45 48
Compatible completeness      60
Complementation      11 40
Complete separability      171
Compton effect      3 5
Condition C      49
Condition E      55 57 71
Condition U      55
Conditional expectation      28 29 30 32 88 89 91
Conditional probability      28 29 85 94
Cone      95 100
Cone, backward      179
Cone, forward      179
containment      11
Convergence, almost everywhere      24
Convergence, almost uniform      24
Convergence, in distribution      26 27
Convergence, in probability      24
Convergence, weak      26
Convex combinations      75
Convex structure      76
Convex structure, total      94
Correlation function      160
Coulomb, force      4
Coulomb, potential      5
Course-graining      33
Covariance matrix      26 155
Creation operator      192
Cushen — Hudson theorem      24 27
Cyclic vector      134 138 175
Cycon, H.      90 109
Davies, E.      75 86 87 101 102 105 106 108
Davisson — Germer experiment      5
De Broglie waves      5 6 7
de Broglie, L.      5
Delta function      114
Detection screen      14 17
Diffraction pattern      16 17
Dirac, P.      5 7 12
Dispersion-free state      60
distribution      10 12 51
Distribution, finite-dimensional      93
Distribution, joint      10 18 83 85
Distribution, normal      27
Distribution, operator      25
Dominated Convergence Theorem      24
Double-slit experiment      14 33
Duality principle      5
Edwards, C      108
Effect      77 78
Effectiveness      91
Egorov’s theorem      24
Eigenvalue      5 6 7
Einstein, A.      3 142
electric field      5
Electromagnetic waves      2 4 5
Electromagnetic waves, hydrogen      4 7 8 9
Electron      3 4 5 6
Electron, orbit      4
Energy      1 2 3 4 6
Energy, kinetic      3 4 8
Energy, observable      8
Energy, potential      4 8
Energy-momentum operator      182
entropy      33
Equipartition principle      1
Euclidean group      194
Evenness      121
Event      39 41 42
Event, complement      40
Event, quantum      11
Event, structure      42
Event, structure, coherent      60
Event, structure, convex      52
Event, structure, trivial      60
Expectation (mean)      9 10 51 90
Extension Principle      116 119 120
Fatou’s Lemma      24
Fermion      190
Field operator      181 199
Foch space      189 191 199
Foch space, boson      191
Fourier transform      119
Fourier transform, inverse      119
Frechet space      111 112
frequency      1 2 3 4 6
Functionals, affine      77
Functionals, characteristic      147
Functionals, correlation      147
Functionals, covariance      147
Functionals, mean      147
Functionals, variance      147
Gelfand — Naimark — Segal (GNS) construction      32 134
Gelfand, I.      162 174
Gibbs probability      2
Gleason, A.      129 139
Greatest lower bound (inf)      40
Heisenberg      5
Hellwig, K.      90 109
Hemi-continuity      121
Hidden variables      59
Hidden variables, in von Neumann sense      60 61
Hidden variables, theory      62
Hidden variables, theory, minimal      62
Hyperplane      95
Increments, independent      142
Increments, stationary      142
Independent values      162
Indexed stochastic process      141
Instrument      81 82
Instrument, composition      83 107 108
Instrument, dual      89
Instrument, nuclear      92
Interference      6 16
Interference, probability      14 33
Interference, quantum      14
Intersection      11
Intrinsic metric      97
Involution      131
Isomorphic convex structures      77
Isomorphic linear spaces      95
Isomorphic measure spaces      154
Jauch, J.      35
Kolmogorov, M.      6 10
L-additivity      130
L-orthogonality      130
Laplacian      5
Lattice      44 47
Lattice, distributive      47
Law of Large Numbers      24
Least upper bound (sup)      40
Lewis, J.      75 101 102 108
Light energy      4
Light spectrum      3
Limit theorems      21
Locality      181 182 183 186
Lorentz group      180
Lorentz group, inhomogeneous      180
Louton, T.      51 52 72
Ludwig, G.      75 108
Mackey, G.      35 72
Maczynski      72
Mean value property      90
Mean vector      149
Measure      10
Measure, positive-operator-valued (POV)      86 105
Measure, probability      10 21 42
Measure, projection-valued (PV)      86 105
Measure, space      10
Measurement      36
Measurement, simultaneous      18
Mielnik, B.      75 108
Minkowski space      179
Mixtures      75
Moments      26
Momentum      5 6
Momentum, observable      8 9
Monotonically weak*-continuity      90
Morgenstern, O.      75
Nelson, E.      18 193 196 197 198 199
Nonnegativity      121
Normalization      97
Nuclear theorem      120
Nucleus      3
Number of particles operator      191
Observability      7 8 11 36 39 44 45 79 84
Observability, bounded      55
Observability, commuting      17 18
Observability, independent      33
Observability, measurable      30
Observability, sum      55
Oddness      121
Operation      81
Operator, correlation      149
Operator, covariance      149
Operator, density      12 85
Operator, projection      11
Operator, self-adjoint      7 18
Operator, trace-class      12
Order determination      42
Orthocomplement      42
Orthogonal additivity      121
Orthogonal increase      124
Partially ordered set (poset)      40 42
Partially ordered set (poset), orthocomplemented      41 42
Partially ordered set (poset), orthomodular      42
Pauli symmetrization principle      190
Phase space      47
photoelectric effect      3 5
Photon      5
Piron, C.      35 139
Planck, M.      1 2 3
Planck’s postulate      4
Planck’s radiation law      2 3
Poincare group      180
Polynomial bounded function      113 117 119
Position (coordinate)      5 6
Position (coordinate), observable      8 9
Positive definite function      148
Positive linear functional      131
Positive linear functional, dominating      169
Preparation      36
Probability, classical      6 10 11 12 84
Probability, quantum      8 11
Probability, space      10
Probability, space, generalized      68
Probability, transition      17 36 38 94
Prohorov, Y.      153
Proposition      41 78 86
Quantum of energy      1 2 6
Quantum, logic      42 45 69
Quantum, orbits      3
Radiation, electromagnetic      5
Radiation, heat      1
Radiation, light      4
Radon — Nikodym theorem      29
Ramsey, A.      49 72
Random field      145 146 163
Random field, covariant      169 171 194
Random field, derivative of      160
Random field, ergodic      194
Random field, Euclidean      194 198 199
Random field, full      158
Random field, Gaussian      150 163
Random field, generated      145 153 160
Random field, isonormal      150 151
Random field, Markov      163 194
Random field, proper      148 150
Random field, regular      197
Random field, T-covariant      169
Random field, unit Gaussian      145 198
Random functional      145
Random functional, bounded      147
Random functional, continuous      145
Random functional, equivalent      145
Random functional, linear      145
Random functional, second order      147
Random functional, uncorrelated      147 150
Random variables      10
Random variables, corresponding      154
Random variables, full set of      157
Random variables, Gaussian      154
Random variables, independent      11 22 23 84
Random variables, jointly Gaussian      154
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