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| Schulman L.S. — Techniques and applications of path integration |
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| Предметный указатель |
Path integral, vector potential 22—26 29
Path, nowhere differentiable continuous 28
Patrascioiu, a. 288 289
Patterson, E. 205
Pauli, W. 96 106 223
Peak, D. 346
Pearle, P. 311
Pechukas, P. 142 146 162 163
Pelte.D. 130 142 163 314
Penner, A. P. 142 162
Penrose, O. 289
Percival, I. C. 157
Percolation 284 289
Perelomov, A. 257
Periodic lattice 190 195 196
Perry, M. J. 236
Perturbation expansion 98
Perturbation expansion, 344
Perturbation expansion, high order terms 288
Perturbation theory 65—69 97 100 103 287
Phase shift 162
Phase space path integral 154 303—314
Phase transition 259—270 284 289 290— 302 328 329
Phase transition, first-order 270 283 327
Phase transition, in presence of impurities 261
Phase transition, Landau theory 316
Phase transition, second order 290 327
Phonon 170 181
Phonon, field 321
Phonon, spectrum 90 91
Photon 321 322
Planck length 236
Platzman, P. 180
Poincar , H. 73
Poisson summation formula 194
Polar coordinates 345 346
Polar crystal 170
Polaron 170—181 321
Polaron, ground state energy 180
Polygonal paths 63 64
Polymer 332 333
Polynomial, homogeneous 246
Positive definiteness of  S 82
Positive frequency functions, Hilbert space of 228
Postnikov 91
Potential theory 53
Potential, Coulomb 48 154 157 344
Potential, delta-function 48 162 344
Potential, distribution function for 267
Potential, exponential 89 105
Potential, harmonic 32—39
Potential, infinite square well 46 63 156
Potential, inverse square 48
Potential, nonlocal in time 174
Potential, random 267 270
Potential, square well 161
Preparation theorems 139
Prequantising 210
Probabilities, conditional 13
Probability amplitude 13
Prodistribution (pseudomeasure) 63 64
Product integral 182—185 235 331
Propagation see Path Integral
Propagator 7
Propagator, on SU(2) 220
Propagator, relativistic 225—236
Pseudomeasures (prodistribution) 63 64
Quadratic Lagrangian 32—39 92 94 110 144 172
Quantization, curved spaces 214—224
Quantum chromodynamics 288
Quantum effects 93
Quantum electrodynamics 320 324
Quantum field theory 325 330
Quantum gravity 236
Quantum statistics 254
Quantum tunneling 229
Radiative correction 322
Rainbow (in scattering) 163
Random walk 53—64 332
Ray density 168
Rayl, M. 302
Reflecting obstacle 40 41
Relative homotopy 198
Relativistic propagators 225—236
Renewal equation 177
Renormalization 293 295 297 299
Renormalization, group 295 301 302
Renormalization, theory 302
Renormalization, transformation 297 298
Representation, of fundamental group 208
Representation, of SU(two) 221 246
Resolvent set 11
Revzen 253 256 258
Rideau, G. 347
Riemann surface 224
Riemannian metric 214
Riesz, F. 212
Roberts, M. J. 157
Roekaerts, D. 312 343
Rosen, G. 325 347
Rosen, J. S. 129
Rosen, N. 188 223
Rosenbluth, A. W. 343
Rosenbluth, M. N. 343
Rotation group 205
Rotation group, group manifold 202
Rotation matrices 187
Rotator, fixed axis 190
Rubber 332 333
Ruse’s invariant 223
S-matrix 158 162
S-matrix, classical 163
Saddle point 277
Sahlin, H. L. 343
Sakita, B. 313
Sakurai, J. J. 257
Salam, A. 188
San Miguel 343
Scale, invariance 298
Scale, transformation 291 301 302
Scaling 293 295 297 299
Scaling, coordinate space 302
Scattering phase shift 161
Scattering theory 141 158—163
Scattering, off mass shell 228
Schaeffer, R. 163
Schilder 96 106 117 129
Schrieffer, J. R. 189
Schulman, L. S. 41 128 188 196 210 211 224 235 258 289
Schultz, T. D. 180
Schwarzschild metric 230—231
Schwarzschild, K. 323
Schweber, S. S. 256
Schwinger, J. 15 347
Scott 313
Second variation 276
Second virial coefficient 333 334
Second-order phase transitions see Phase transitions
Segal, I. 347
Segular, R. 312
Self adjoint 211
Semi classical approximation 96—117 142 143—146 158 159 162 308
Semigroup, contraction 9
Senitzky, I. R. 257
Sewell, G. L. 284 289
| Shadow region 124
Shepherd, P. J. 312
Short distance cutoff 292
Simon, B. 107 270 289
Simply connected 187 201
Singular perturbation 346
Singularity, unfolding of 139—141
Sirugue 347
Sirugue — Collin 347
Small oscillation integral 275
Small oscillations about the instanton 284
Smilansky, U. 96 106 130 142 163 314
Sobolev, V. J. 212
Solitons 310 313
Soper, D. E. 288 346
Souillard, B. 289
Souriau, J. 210
Spaces, homogeneous 41
Spaces, multiply connected 197
Spanier, E. H. 205
Spectrum 11
Spencer 270
Spherical model 291 294 302
Spin 182—189
Spin, continuous models for 185
Spin, half integral 221 222
Spin, integral 221
Spin, model 187 327 328
Spin, model, continuous 235
Spin, model, relativistic path integral 235
Spruch, L. 162
Stanley, H. E. 302
Stationary phase approximation 16—18 76 97 109 113 141 147 162
Statistical mechanics 237—241
Steepest descents, method of 125 281
Stegun, I. A. 78
Stine, J. R. 141
Stirling’s approximation 54
Stochastic process 339 341 343
Stone 288
Stora, R. 347
Stratonovich, R. L. 30
Streit, L. 347
String (magnetic monopole) 213
Strong minimum 90
Structural stability 128
Sturm — Liouville problem 81
Sturm — Liouville problem, discrete form 111
Sum over classical paths 223
Sum over classical paths, exactness 39
Sum over histories 7
Superfluidity 250 253 259 346
Sutcliffe, W. 257
Suzuki 257 313
Swanson, J. A. 288
Swift, J. 302
Symmetric group on N objects ( ) 209
Sz — Nagy, B. 212
Tarski, J. 188
Teller, A. H. 343
Teller, E. 343
Testa, F. J. 257
Tetrode, H. 323
Thermal gravitons 236
Thermodynamic limit 264
Thermodynamics, black hole 235
Thermodynamics, second law of 229
Theta function 193 195 224
Theta function, fundamental identity 194 195
Thom, R. 140
Thompson, C. 329
Thorne, K. S. 236
Three-body problem 345 346
Time ordered product 8 182 183 331
Tirapegui, E. 312 343
Tobocman, W. 311
Top, spherical 187
Top, symmetrical 187
Topological constraint 332 333
Topological equivalence 140
Trajectories in phase space 305
Transition element 173
Translation invariance 278 280
Trotter product formula 5 9 117 211 303 333
Truman, A. 63 64
Tschumi, P. 130
Tunneling 160 162
Turning point 101 149 150
Two slit experiment 13—15
Two-fluid phenomenology 254
Two-point Function 301
Tze, H.C. 211
Uhlenbeck, G. E. 283
Ultraviolet divergences 320
Uncompleting the square 325—332
Universality 290 301
Unstable states 271
Ursell, F. 132 141
Vaidi 15
Van der Waals, J. D. 283
Van Hove singularities 90
Van Hove, L. 91 312
van Kampen, N. G. 343
van Leeuwen, J. M. J. 291 302
van Vleck determinant 88 95 96 106 217 308
Van Vleck, J. H. 106
Varadhan, S.R.S. 96 106 117 180 266 269
Variational principle of Maupertuis 167
Vector potential 22—26 212
Virial coefficient 333 334
Voros, A. 348
Wallace, D. J. 289
Wallace, R. 142 162
Wave function, coherent state 254
Wave packet, minimum uncertainty 19
Wave packets 160
Weierstrass E-function 90 91
Weierstrass preparation theorem 139
Wheeler, J. A. 217 236 323 325
Wiegel, F. W. 241 347
Wiener integral 53—64 96 114 117 129 262 317 318 320 332 335 343
Wiener measure 53—64 263 272
Wiener measure, unconditional 60
Wiener paths see Browning motion paths
Wiener — Sausage 264 269
Wiener, N. 28
Wigner — Kirkwood expansion 239 240 241
Wilson, K. G. 290 291 302
Winding number 190 191 192 193 195 202 208 332
Wittke, J. P. 162
WKB approximation 15 16—21 88 92—107 118 147—157 158 159 162 224 273
WKB barrier penetration see Barrier penetration
Wolf, E. 146
Wright, E. 196
wronskian 285
Wu 210 212 213 288
Yaglom, A. 39 64 347
Yang, C. N. 210 212 213
Young, G. S. 205
Zak, J. 257
Zero energy mode 280 282
Zero mode problem 313
zero point energy 173
Zinn — Justin, J. 288
Zittarz, J. 270
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