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Antoine J.-P. (ed.), Tirapegui E. (ed.) — Functional Integration: Theory and Applications
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.


Язык: en

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

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\theta$-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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