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| Roepstorf G. — Path integral approach to quantum physics |
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| Предметный указатель |
Relativistic invariance 28
Representations of groups 282
Rollnik class 128
Rotational symmetry 14
Scalar field 187
Scalar field, Gaussian approximation 278—279
Scalar field, Ising spin limit 277
Scalar field, Minkowskian 217
Scale invariance 24
Scaling 109—113 245
Schauder basis 148
Schroedinger equation 15
Schroedinger picture 75
Schroedinger semigroup 39 47
Schwartz space 228 329
Schwinger functional 224
Schwinger functions 220 224 284
Section map 285
Self-similarity 24
Semiclassical approximation 117 152 199
Separation of coordinates 95
Simple events 20
Simple functions 41
Sine-Gordon model 231
Spatial homogeneity 24
Spectral decomposition 63 210
Spin systems 84
Spin systems, ferromagnetic 85
Spinor field 316
Spontaneous breakdown of symmetry 266
Spreading of the wave packet 16
Stability of matter 141
Statistical independence 28
Statistical operator 71 171
Stochastic integral 31 114 357
Stochastic process 20 21
Stochastic process mean return 13
Stochastic process, complex 216
Stochastic process, first entrance 91
Stochastic process, Gaussian 24 357
Stochastic process, generalized 31 225
Stochastic process, imaginary 15 102 160 212
Stochastic process, increments of a 28
Stochastic process, nonlinear transformation 8 369
Stochastic process, reversal of 51 235 239
Stochastic process, shift of 235
Stochastic process, vector-valued 20 21
Stochastic process, vector-valued covariance matrix 29
Stochastic process, versions of a 22
Stokes’s law 4
Stokes’s theorem 302
Stopping times 78
Stratonovitch’s midpoint rule 196
Sum over histories 102 105
| Superconductivity 268
Superposition principle 16
susceptibility 276
Tau functions 222
Tauberian theorem 62
Temporal homogeneity 6
Thermal wavelength 111
Thermodynamic limit 82 179 244
Thermodynamic potential 267
Thermodynamical formalism 81
Thermodynamics 70
Time-ordering 159—160 222
Topological charge 291
Transfer operator 90
Transience (random walk) 12
Transition amplitude 57
Transition amplitude, bounds 115
Transition amplitude, essential singularity 57
Transition amplitude, path-dependent 173
Transition function 15
Transition matrix 1
Triangle problem 98 146
Two-point function, Euclidean 220
Two-point function, Minkowskian 219
Unitary group (time evolution) 16
Unitary group (time evolution), U(1), SU(n) 282 289 312
Vacuum state 219 236
van Vleck determinant 89
Variational Principle 122 252—256 283
Variational principle, constrained 261 269
Variational principle, deterministic limit 254
Vector potential 47 192
Vector potential, external 323
Virial coefficient (second) 69 74 148
Virial expansion 68
Wegner — Wilson loops 306—311 348
Weyl spinor 317
White noise 31
White noise calculus 107
Wick ordering 38 108 241
Wick rotation 220
Wiener process 23 30 357—358
Wiener process, anisotropic 61
Wiener process, conditional measure 39 41 44 49 66
Wiener process, covariance operator 30
Wightman functions 222 319
Wightman’s reconstruction theorem 76
Wigner — Kirkwood expansion 154 156
Winding number 209 212—213
WKB approximation 89
Yang — Mills equation 291
Yang — Mills field theory 289
Yang — Mills theory 310
Yukawa potential 54
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