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Antoine J.-P. (ed.), Tirapegui E. (ed.) — Functional Integration: Theory and Applications
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Название: Functional Integration: Theory and Applications
Авторы: Antoine J.-P. (ed.), Tirapegui E. (ed.)
Аннотация: The idea of the workshop on Functional Integration, Theory and Applications, held in Louvain-la-Neuve from November 6 to 9 1979, was to put in close and informal contact, during a few days, active workers in the field.
There is no doubt now that functional integration is a tool that is being applied in all branches of modern physics. Since the earlier works of Dirac and Feynman enormous progress has been made, but unfortunately we lack still a unifying and rigorous mathematical framework to account for all the situations in which one is interested. We are then in presence of a rapidly changing field in which new achievements, proposals, and points of view are the normal pattern.
Considering this state of affairs we have decided to order the articles starting from the more fundamental and ambitious from the point of view of mathematical rigour, followed by articles in which the main interest is the application to concrete physical situations. It is obvious that this ordering should not be taken too seriously since in many cases there will be an interplay of both objects.
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Рубрика: Математика /
Статус предметного указателя: Готов указатель с номерами страниц
ed2k: ed2k stats
Год издания: 1980
Количество страниц: 355
Добавлена в каталог: 03.02.2010
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Предметный указатель
-Integral 181
Action principle 209—214
Anticommutative integration 1
Basic quartet 7
Bistable systems 311 320
Brownian bridge 44
Brownian motion 67 75 181
co-Forms 9 16
Coherent states, affine 104
Coherent states, Glauber — Bargmann — Segal 121
Coherent states, path integral over 121—123
Conductivity 303
Daniel scheme 177
Determinant, functional 172
Determinant, Van Vleck 194 199
Discretization 175 193 195
Discretization, mid point or Stratonovich 182 197
Discretization, postpoint 197 199 241
Duality 3
Equation, Chapman — Kolmogorov 180
Equation, diffusion (heat) 65
Equation, diffusion (heat) on Riemannian manifold 67—74
Equation, diffusion (heat), quasiclassical, representation of 67
Equation, Fokker — Planck 192 271 283 313
Equation, Fokker — Planck, covariant 226
Equation, Fokker — Planck, integration of 236
Equation, Fokker — Planck, intrinsic 229
Equation, Ito differential 283
Equation, Langevin 167 192 249 266
Equation, Riccati 164
Equation, Schroedinger 23 29 58 65 140 183 192 211
Equation, Schroedinger, on Riemannian manifold 74 192 211
Equation, Schroedinger, quasiclassical, representation of 75
Equation, stochastic differential 282
Equation, Stratonovich 67 75
Escape problem 328
Exterior differential calculus 229
Ferromagnet (X-Y) 333 341
Feynman — Kac formula 68
Fock space 1
Forms, characteristic of basic quartet 18
Forms, contraction of 4
Forms, cylindrical 4
Forms, differential 229
Froehlich Hamiltonian 291
Function, drift 230 284 313—320
Function, Green's 29 50 77 134 149 153
Function, Maxwellian distribution 307
Function, Onsager — Machlup 264—266
Function, partition 335
Functional, action 292
Functional, Brownian 47
Functional, generating 154
Functional, probability density 267
Gelfand triplet 11—18 47
Green's function 29 50 77 134 149 153
Index, Maslov 38 41 78 135
Instanton 318
Integral, Fresnel 26
Integral, functional 151 155
Integral, left, right 9 18
Integral, midpoint 182
Integral, oscillatory 26
Integral, path see "Path integral"
Integral, Stratonovich 44 182
Integration in Hilbert space 89
Integration, anticommutative 1
Manifold, contractible 230
Manifold, Riemannian 65 191 229
Markov property 176 179
Maslov index 38 41 78 135
Mode coupling 250
Ohtani terms 216
Onsager — Machlup theory 264 283—286 317
Operator, composite 253
Operator, convolution 6
Operator, formalism 193
Operator, Lionville 250
Ordering 139 151 175
Particle in electromagnetic field 184
Path integral and geometric quantization 125
Path integral and quantum dynamics 218
Path integral for affine variables 107—110
Path integral over coherent states 121—123
Path integral over coordinate space 127
Path integral over phase space 107
Path integral, covariant 212
Path integral, Feynman 23 43 53 143
Path integral, Lagrangian 110
Path integral, translation invariance of 143—147
Perturbation theory 153 259 343
Phase, metatastable 342
Phase, stationary 24
Polarization 127
Polaron 291 303
Probability, density functional 267
Probability, measure on Hilbert space 90
Probability, space 54—58
Process, Bessel 1 16
Process, birth and death 167
Process, diffusion 282
Process, diffusion in bistable potential 311
Process, Markov 114 176 282
Process, Poisson 54—58 167
Process, Poisson on groups 63
Process, Wiener 117 168 181 283
Quantization in curved space 65 207 212
Quantization, geometric 127
Quantization, soliton 153
Quantization, stochastic 51 288
Quantum mechanics, classical limit of 65 84
Quantum mechanics, Reggeon 121
Quantum mechanics, tunneling in 163
Quantum theory, interpretation of 98
Relaxation 313 326
Representation, Bargmann — Segal 130—134
Representation, canonical (Dyson — Wick) 154
Representation, continuous 97
Representation, continuous, affine 105
Representation, diagrammatic 154
Representation, path integral 154 193 233
Representation, quasiclassical 67 75
Semiclassical expansion 194 314
Stochastic control 283
Stochastic control in QCD 287
Stochastic process see "Process"
Superconductor 333 341
Superfluid He II 333 341
Tensor algebra 2
Theory, Kawai 208 214
Theory, Landau — Ginzburg — Wilson 334
Theory, Onsager — Machlup 264 283—286 317
Theory, perturbation 153 259 343
Theory, Thornber — Feynman 307
Thermodynamics, linear 266
Thermodynamics, linear, nonequilibrium 276
Thermodynamics, nonlinear 271
Thermodynamics, nonlinear, nonequilibrium 278
Thermostatics 265
Trace formula 34
Transform, intrinsic Fourier 234
Transform, Laplace 10
Transform, Laplace, normalized 15
Tunneling 163
Variables, affine 103
Variables, gross 229
Variables, hidden 94
Variables, stochastic 116
Variational Principle 209 293
White noise analysis 44
WKB approximation 66 191 194
World function 234
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