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Exner P. Ч Open quantum systems and Feynman integrals
Exner P. Ч Open quantum systems and Feynman integrals

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Ќазвание: Open quantum systems and Feynman integrals

јвтор: Exner P.

язык: en

–убрика: ‘изика/

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

ed2k: ed2k stats

√од издани€: 1985

 оличество страниц: 376

ƒобавлена в каталог: 03.12.2013

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
'feynman measure'      221 258 268 273
'Feynman measure', Cameron theorem      217 272
'feynman paths'      275 306Ч311 314
'integrity'      5 48 see
'turing paradox'      96 see
'zeno's paradox'      84Ч94 96 97 307 316
Absolutely continuous subspace      28 50 110 116 150 195Ч207 211 321
Accretivity      152 155 159 208
action      214 279 311
Albeverio and Hoegh-Krohn method      220 225 268 273 274 276 312
Algebra $\mathscr{F}(\mathscr{H})$      222Ч234 251 252 254 256 263 264 266Ч270 275 279Ч281 322
Analytic continuation      see "F-integral"
Anharmonic oscillator      313
Apparatus function      306
Approximation, bounded-energy      39Ч47 51
Approximation, optical      179Ч194 210 211 320
Approximation, pole-and-real-axis      103 107 129 139 140 151 177 316
Approximation, polygonal-path      215 240Ч257 263Ч265 274Ч276
Approximation, semibounded-energy      46
Approximation, semiclassical      273
Approximative, reduced propagator      42
Approximative, state space      42
Argument cook      199 211
Argument Cook, Haag and Kastler      46 52 139
Argument Cook, Von Schweidler      2 54
Assumption, (a), embedded-eigenvalue perturbations      116
Assumption, (a), Friedrichs model      105
Assumption, (a), non-unitary scattering      195
Assumption, (b), non-unitary scattering      205
Assumption, (b), optical approximation      179
Assumption, (c), non-unitary scattering      205
Assumption, (c), repeated measurements      56
Assumption, (c1,2)      58
Assumption, (c3)      60
Assumption, (c4)      62
Assumption, (D)      195
Assumption, (e)      205
Assumption, (f)      179
Assumption, (m)      115
Assumption, (n)      183
Assumption, (p1)      114
Assumption, (p2)      115
Assumption, (r)      55 138
Assumption, (s), non-unitary scattering      195
Assumption, (s), optical approximation      179
Assumption, (u)      190
Assumption, (u1,2), unstable systems      6
Barrier, Gamow method      2 140 289 312
Barrier, Partially absorbing      173
Barrier-penetration decay      140 289 312
Baumgaertel theorems      117 121 143
Beam-foil technique      3 47 51
Bochner Ч khintchin theorem      21 22
Bounded-energy, approximation      39Ч47 52 see
Bounded-energy, state      40
Breit Ч wigner function      2 9 33 78 96 112 136 139 150
Bubble chamber      see "Chamber"
Cameron theorem, on non-existence of feynman measure      217 272
Cameron Ч Martin formula      233 254Ч257 267Ч269 275 313
Cayley transformation      153 208
Chamber      54
Chamber, bubble      54 60 76Ч84 92
Chamber, discrete      58 66Ч71 95
Chamber, homogeneous      62 63 71Ч76 95
Chamber, periodically structured      62Ч76 95
Chamber, spark      54 55 62 66Ч71
Chamber, structure of      55 56 58 60Ч65 71 76 77 79Ч81 95
Channels      111
Chernoff theorems      49 326 327
Classical limit      11 221 273 274 311
Classical limit, damped harmonic oscillator      302Ч304
Cogenerator      208
Compression      48
Condition, dissipativity      147 152
Condition, Enss      204
Condition, Friedrichs      104 111 113 114 121Ч123
Condition, minimality      see "Minimality condition"
Condition, semigroup      3
Conjugation      163 164
Continual observation, limit of      see "Limit"
Continual observation, true      93 96
Continuous contractive semigroup      22 147 318Ч320 324 326 329 330
Convolution, of measures      222 281
Cook argument      199 211
Coupling constant      3 104 140 143 177 316 317
Coupling constant, analyticity of pole positions      107 114 316
Coupling constant, Puiseaux series      120Ч122 317 328
Coupling constant, weak-coupling limit      48 140
CP-parity      3 129 144
CPT-invariance      87
Cylindrical, function      216 218 227
Cylindrical, function, basis of      227
Cylindrical, function, integration of      216 222 227 251 321
Cylindrical, projection      248 263
Cylindrical, set      216
Damped harmonic oscillator      48 290Ч305 312 313
Damped harmonic oscillator, 'ground state'      303 305
Damped harmonic oscillator, classical limit      302Ч304
Damped harmonic oscillator, non-damped limit      300Ч302
Damped harmonic oscillator, propagator of      292 303
Damped harmonic oscillator, pseudo-hamiltonian of      290Ч292
Damped harmonic oscillator, Pseudo-hamiltonian of, spectrum      304 305
Damped harmonic oscillator, ways of description      313
Damping, harmonic oscillator      48 290Ч305 312 313
Damping, radiation      2 11 47 99 139
Davies theorem on absolutely continuous subspace      198 211
Davies theorem on bijectivity of s-matrix      206 212
Davies theorem on completely dissipative schrodinger operators      175 209
Davies theorem on existence of $\Omega^{\ast}_{+}$      201 211 321
Decay function      8 32 127
Decay law      8 125 138
Decay law for a bounded-energy state      40
Decay law in presence of repeated measurements      53
Decay law, exponential      2 3 12 24 54 65 76 103
Decay law, measured      58Ч60 65 66 69Ч72 76Ч78 81Ч84 95
Decay law, measured, non-exponentiality      see "Non-exponentiality of decay law"
Decay law, primary      56 65 66 70 72 76 78Ч80 85 93
Decay operator      see "Decay function"
Decay rate, Fermi golden rule      3 107 108 122 139Ч141 143
Decay rate, initial      12Ч15 38 49 52 85
Decay rate, integral restrictions on      25 29
Decay rate, measured      65 69Ч72 76 85 95
Decay, dynamical mechanism of      3 4 98 139Ч141 143 144
Decay, Relativistic slow-down      77 136Ч138 145
Density matrix      see "State"
Dewitt Ч Morette method      273 312
Dilation-analytic method      143 210
Dirichlet Laplacian      94 314
Dirichlet-Jordan theorem      330
Dissipative systems      xiii 48 278
Dissipativity, (essentially) maximal      see "Operator"
Dissipativity, complete      157Ч159 175 197 208 209 319
Dissipativity, condition      147 152
Dyson expansion      159Ч162 185Ч189 208 282 283
Effect, Stark      140 143
Effect, threshold      108 141 316
Effect, watchdog      96
Ehrenfest theorem      323
Eigenvector, generalized      195 210
Eisenbud Ч wigner formula      142
Energy spectrum, absolute continuity      28 51 178 195
Energy spectrum, boundedness from below      3 24 27 29Ч33 50 51 87 91
Energy spectrum, boundedness from below, necessary conditions      30 50
Energy spectrum, boundedness from below, sufficient conditions      31 32 51
Energy spectrum, relation to lifetime      38
Energy support      31 46
Energy, filtering      45 52 83 96 139 145
Energy, resolution      83 193 194
Enss condition      204
Euclidean invariance      131 145
Evolution equations in Banach space      259Ч262 328
Evolution equations, non-linear      48 323 see
Evolution operator      see "Propagator"
F-integral      x 96 213
F-integral in curved space      221 273
F-integral of time-dependent functions      284
F-integral with constraints      221 273
F-integral, absence of dominated convergence theorem      233 321
F-integral, algebra $\mathscr{F}(\mathscr{H})$      222Ч234 251 252 254 256 263 264 266Ч270 275 279Ч281 322
F-integral, analytic      269 280 313
F-integral, analytic continuation      218
F-integral, analytic continuation in mass      219 272
F-integral, analytic continuation in time      219 272 see
F-integral, analytic, relation to Fresnelian      269 270 273
F-integral, application to quantization      221 273 276
F-integral, Cameron Ч Martin formula      233 254Ч257 267Ч269 275 313
F-integral, change-of-variable transformations      230Ч233 253Ч257 322
F-integral, complex      see "F-map"
F-integral, computer simulation      274
F-integral, discrete setting      274
F-integral, Fresnelian      225Ч234 251 266Ч270 273 274 279Ч283 313 321
F-integral, Fubini property      226
F-integral, Gaussian-regularized      267 280 312 see
F-integral, limiting      217 266 272 276 280
F-integral, limiting, relation to fresnelian      266
F-integral, notational convention      221
F-integral, operator-valued      271 277
F-integral, over histories      221 273
F-integral, phase-space      221 273
F-integral, polygonal-path approximations      215 240 257 263Ч265 274Ч276
F-integral, product      258 272 275 283 284 292 297Ч299 312
F-integral, regular cylindrical      249Ч257 275 312 313
F-integral, Relation to fresnelian      267
F-integral, relative to a form      268 276 313
F-integral, sequential methods      263Ч266 275
F-integral, uniform cylindrical      249Ч257 275
F-integral, uniform improperly cylindrical      249Ч257 275 280
F-integral, uniform product      258 284 292
F-map      225
F-map, change-of-variable transformations      230Ч233 253Ч257
F-map, Fresnelian      225Ч234 251 252 263 274
F-map, Fresnelian, extensions of      263 276
F-map, Fresnelian, generalized      see "F-integral relative
F-map, product      258
F-map, regular cylindrical      249Ч257 275
F-map, relation to W-integral      240 252 274 275
F-map, uniform cylindrical      249Ч257 275
F-map, uniform product      258
Fci-formula      279 289 312
FCI-formula, anharmonic oscillator      313
FCI-formula, damped harmonic oscillator      292
FCI-formula, harmonic oscillator      313
FCI-formula, potential from $L^{p}+L^{\infty}$      272 284
FCI-formula, potentials from $\mathscr{F}(\mathbb{R}^{d})$      279
FCI-formula, potentials with below bounded real part      284
FCI-formula, relation to scattering theory      289 312
FCI-formula, time-dependent potentials      273 285
FCI-formula, two-particle potentials from $L^{2}+L^{\infty}$      284
Fermi Golden Rule      3 107 108 122 139Ч141 143
Feshbach optical potential      181
Feshbach optical potential, Feynman Ч Cameron Ч Ito formula      see "FCI-formula"
Feynman path integral      see "F-integral"
Feynman Ч Kac formula      219 272 275 279 312
Feynman's thought experiment, with many-slit screens      214 307 313
Formula, Cameron Ч Martin      233 254Ч257 267Ч269 275 313
Formula, Eisenbud Ч Wigner      142
Formula, FCI      see "FCI-formula"
Formula, Feynman Ч Kac      219 272 275 279 312
Formula, Fourier Ч Stieltjes inversion      30 324
Formula, product      see "Product formulae"
Formula, Trotter      219 257 262 272 326
Fourier Ч Stieltjes inversion formulae      30 324
Free, Hamiltonian      10 163 178 179 195 208
Free, propagator      10 257
Frequency of measurement      62Ч65 70 71 81 95
Frequency, matrix for damped harmonic oscillator      293
Friedrichs, condition      104 111 113 114 121Ч123
Friedrichs, model      103Ч113 115 120 140 141 181 316
Friedrichs, model, multidimensional      113 141 317
Fubini, property      226
Fubini, theorem      325
Function, apparatus      306
Function, Breit Ч Wigner      2 9 33 78 96 112 136 139 150
Function, cylindrical      see "Cylindrical function"
Function, decay      8 32 127
Function, positive definite      17
Gamow method      2 140 289 312
Gaussian measure      219 267 276
Gaussian measure, correlation operator      267 276
Gaussian measure, mean      267
Generalized, eigenvector      195 210
Generalized, observables      96
Generator of a semigroup      x 38 146 318Ч320 329
Generators of Poincare algebra representation      130
Gisin equation      48 323
Haag Ч kastler argument      46 52 139
Hamiltonian, dual character of      147
Hamiltonian, free      10 163 178 179 195 208
Hamiltonian, of friedrichs model      104
Hamiltonian, phenomenological      see "Pseudo Ч Hamiltonian"
Hamiltonian, total      3 5
Hamiltonian, unperturbed      4 98
Heat bath      see "Reservoir"
Hoelder continuous paths      240
Howland Ч Baumgaertel theorem      120 143
Identity problem for unstable objects      3 55 138 145
Image-measure theorem      3 25
Integrals, Feynman path      see "F-integral"
Integrals, improper      217 228 249 263Ч265
Integrals, oscillatory      263 264 275 322
Integrals, Wiener      see "W-integral"
Interaction picture      162 185Ч187 282
Inverse decay problem      17 40 45 46 50 see
Ito, method      219 267 273 274 276
Ito, theorem      267 276
J-selfadjointness      164 165 174 208 209 284
J-symmetry      163Ч165 174 208
Jersak's equation      49
Joint system      126
Kaons, charged      76 79 144
Kaons, neutral      3 128 139 144 151
Kato Ч birman theory, for non-unitary scattering      201Ч203 211
Kato, inequality      168
Kato, product formula      88 326
Kato, smooth-perturbation theory      182 184 203 329
Kato, theorem, on non-unitary wave operators      203
Kinematical concept of unstable systems      4
Kinematical concept of unstable systems, Postulates of      6
Lee model      4 141
Lee Ч friedrichs model      141
Lidskii theorem      177 209
Lifetime      9 38 see
Lifetime, primary      72
Limit of continual observation      84 96 306 314Ч316
Limit of continual observation, lack of operational meaning      92 307 see
Limit of continual observation, of position      93 94 96 311 314
Limit, classical      11 221 273 274 302Ч304 311
Limit, non-damped, maslov correction      300Ч302
Limit, weak-coupling      48 140
Maslov, correction      300Ч302 313
Maslov, indices      269 275
Master equations, markovian      48
Mean life      9 92 136 138 see
Measurement frequency      62 65 70 71 81 95
Measures, Cameron theorem      217 272
Measures, convolution of      222 281
Measures, Gaussian      219 267 276
Measures, set $\mathscr{M}(\mathscr{H})$      222Ч224
Measures, Wiener      216 217 240 272 276 322
Memory effects      48 54
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