Grosche C., Steiner F. — Handbook of Feynman path integrals :: Электронная библиотека попечительского совета мехмата МГУ

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Grosche C., Steiner F. — Handbook of Feynman path integrals

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Название: Handbook of Feynman path integrals

Авторы: Grosche C., Steiner F.

Аннотация:

The Handbook of Feynman Path Integrals appears just fifty years after Richard Feynman published his pioneering paper in 1948 entitled "Space-Time Approach to Non-Relativistic Quantum Mechanics", in which he introduced his new formulation of quantum mechanics in terms of path integrals. The book presents for the first time a comprehensive table of Feynman path integrals together with an extensive list of references; it will serve the reader as a thorough introduction to the theory of path integrals. As a reference book, it is unique in its scope and will be essential for many physicists, chemists and mathematicians working in different areas of research.

Язык:

Рубрика: Физика/Квантовая теория поля/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1998

Количество страниц: 449

Добавлена в каталог: 10.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Path integral, Cartesian coordinates      11 30 31 36 37 67
Path integral, classical mechanics      164-165
Path integral, coherent state      51-54
Path integral, constraint      172
Path integral, coordinate transformation      78-81
Path integral, curved manifolds      67-74
Path integral, electric field      88
Path integral, Euclidean      126
Path integral, fermionic      58-63
Path integral, Fourier expanded      40 165 172
Path integral, Gaussian      13 37 38 39 52 73 93 97 160
Path integral, group manifold      93 102-122
Path integral, Hamilton - Jacobi coordinates      174
Path integral, Hamiltonian formulation      71 163
Path integral, harmonic oscillator      13 41 42 44 89 93-102 124 146 155 173 178-179
Path integral, homogeneous space      106 108 109 155 158 258-276
Path integral, hyperbolic space      158
Path integral, Klein - Gordon      156
Path integral, Lagrangian      71 76
Path integral, Legendrian      93 156 158
Path integral, Liouville      93 118 119 228 229
Path integral, mid-point formulation      71 79 95 152 162
Path integral, phase space      71 163
Path integral, pre-point formulation      162
Path integral, product ordered      74-76 162
Path integral, quadratic Lagrangian      94-99 123
Path integral, Riemannian spaces      67 104
Path integral, separation of variables      168 169
Path integral, space-time transformation      81-87 166-168
Path integral, spherical coordinates      63-67 73 84 106
Path integral, spin- $\frac{1}{2}$ field      59 60
Path integral, supersymmetric      61-63 363-365
Path integral, symmetric rule      162
Path integral, vielbein formulation      73 162
Patrascioiu, a.      [391 762 763] 61 62 262
Pauli      1 11 14-17 15-17 31 148 206 219
Pauli - Villars regularization      14
Pauli formula      13 17 148
Pauli matrix      55 428
Pauli, W.      [764-768] 1 11 14-17 15-17 31 148 206 219
Peak, D.      [771] 66 99-102 176 184 225-227 234 237
Pearle, P.      [772] 163
Peeters, F.M.      [233] 202
Pell, J.L.      [681] 173 176 190
Pelster, A.      [773-775] 35 80 81 166 228
Periodic orbit formula      151 152 213
Periodic orbit theory      124 141-154
Periodic orbit trace formula      152 213-217
Perturbation exact summation      125-127 171
Perturbation expansion      170-171
Perturbation theory      20 123-140
Perturbation time ordered      126 170
Phase space      163 164
Picken, R.F.      [776] 102
Pieri, P.      [302] 358
Planck      [777] 186
Plane wave      119-122 (see also Free particle)
Pleijel, A.      [778] 38
Pocono conference      11
Podolsky, B.      [779] 67
Pogosyan, g.s.      [457-463] 88 90 91 107
Poincar $\acute{e}$ disc      157 305
Poincar $\acute{e}$ recurrence map      152
Poincar $\acute{e}$ upper half-plane      155 157 305 365
Point interaction      see Delta-function
Poisson bracket      3 142
Polaron      202
Polkinghorne, J.C.      [781] 208
Popov, V.N.      [312 782] 22
Potential, absolute value      158 352
Potential, anharmonic      157 213 234
Potential, centrifugal      66 101
Potential, confinement      17 234-236
Potential, Coulomb      76 88 124 155 157 277-295 340 342
Potential, Coulomb-like      234 252 291 307
Potential, delta      327-346
Potential, discontinuous      155 158 217
Potential, effective      20 123 132-134 157 171 202
Potential, finite      222
Potential, harmonic      13 41 42 44 89 93-102 124 146 155 178-179 340 342
Potential, Hartmann      293
Potential, Holt      88 237
Potential, Hulthen      157 249
Potential, hyperbolic barrier      157 251
Potential, Kepler      see Coulomb potential
Potential, Kratzer      277
Potential, linear      157 175 239 352
Potential, Liouville      93 118 119 228 229
Potential, Manning - Rosen      157 248
Potential, modified Rosen - Morse      255 256
Potential, Morse      157 228 349
Potential, Natanzon      157 159 234 240 253-256
Potential, oscillator-like      306
Potential, P $\ddot{o}$ schl - Teller      93 106 112 113 116 117 155 240-257
Potential, Penning trap      185
Potential, quartic      212
Potential, quasi-exactly solvable      236
Potential, random gas      199
Potential, reflectionless      157 246 329-333
Potential, repelling      157 180
Potential, ring      157 286
Potential, Rosen - Morse      157 246 255 256
Potential, saddle point      157 182
Potential, Scarf      157 241 250
Potential, sextic      236
Potential, step      221
Potential, super-integrable      91 107 157 237
Potential, supersymmetric      61 363
Potential, time-dependent      232
Potential, trigonometric Coulomb-like      252
Potential, vector      94 175
Potential, well      157 223 224 328 329
Potential, Wood - Saxon      247 349
Poulter, J.      [783 784] 185 194 199
Pratt, R.H.      [505] 282
Pre $\check{s}$ najder, P.      [155 770 785] 205 206 217 226 360
Presutti, E.      [134] 225
Principal value      151
probability      1 10 18 24 31 49
Prokhorov, L.V.      [786 787] 71 73 166 262
Promotor      77
Propagator      see Path integral
Proton      17
Prugove $\check{c}$ ki, E.      [788] 163 276
Pseudo - Euclidean space      74 109 121-122 157
Pseudo-time      81
Pseudosphere      see Hyperboloids
Pugh, R.E.      [789] 21
Quadratic Lagrangian      see also Oscillator
Quadratic Lagrangian, -dimensional      173
Quadratic Lagrangian, one-dimensional      174
Quantization, canonical      23
Quantization, CBC      363
Quantization, EBK      143 151
Quantization, semiclassical      18 141
Quantization, WKB      16 142
Quantum chaos      154
Quantum cosmology      7
Quantum fluctuation      12 38 41 146
quantum mechanics      1 2 6-8 11 15 19 33
Quantum potential      68-72 75-79 92 85 105 111
Quasi-classical approximation      see Semiclassical approximation
Quasi-exactly solvable      236
Quotient manifold      262
R $\ddot{o}$ pke, G.      [800] 211
Radial box      350 351
Radial ring      350 351
Radiation field      202
Raiten, E.J.      [284] 163
Rajaraman, R.      [791] 206

Ramachandran, R.      [47] 206
Ramond, P.      [790] 22 172 362
Ramos, R.C.      [83] 233
Ranfagni, A.      [153 662] 21
Ravndal, F.      [639] 178
Ray, D.      [792] 39
Rebbi, C.      [793] 22
Reed      [794] 34 73
Regularization      129 338
Resolvent kernel      2 6 124
Reuter      [257 412] 21 164
Rezende, J.      [795] 179
Riazanov, G.V.      [796] 21
Richard, J.L.      [763] 262
Richter, K.      [933] 154 213
Rideau, G.      [16 202] 33 73 178
Riemann manifold      67 73 154
Riemann zeta function      39
Ringwood, G.A.      [797 798] 162 282
Rivers, R.J.      [799] 22 172 362
Robaschik, D.      [491] 336
Rodriguez, R.      [201 202] 20 178 208
Roekaerts, D.      [634-637] 21 67 69 162 163 207
Roepstorff, G.      [801 802] 21 22 132 172 175 178 180 197 198 207-210 217 221 327
Rogers, A.      [803] 21 55 364
Rohrlich, D.      [725] 357
Romanova, T.S.      [496] 282
Roncadelli      [804] 206
Root system      216 258
Rosen, G.      [805 806] 21 178
Rosen, N.      [670] 246 248
Rosenfelder, R.      [21] 194 196 202
Rossini, G.L.      [124] 357
Rotation group      105 106 262-269
Rothe, H.J.      [808] 22
Royer, A.      [809] 165
Rubinow, S.I.      [570] 142 206
Rudolph, O.      [810] 20
Runge - Lenz vector      91
Rupertsberger, H.      [47] 206
Russel      14
Rutenberg, M.L.      [811] 162
Ryzhik, I.M.      [413] 65 90 100 112 121
S $\ddot{o}$ kmen, I.      [741-743 858-860] 77 219 228 241 245 246 282 284 286 287
Sa-yakanit, V.      [153 662 784 816-818] 21 194 198 199 213 293
Saddle point      16
Sait $\hat{o}$ , N.      [812] 233
Sakoda, S.      [360 568] 162
Salam, S.      [688] 172
Samathiakanit, V.      [813] 194
Sammelman, G.S.      [242] 73
Samuel, S.      [814] 353
Sato      [815] 162
Scacciatelli, E.      [134] 225
Scarletti, S.      [20 820] 21 33 73 338
Sch $\ddot{a}$ fke, F.W.      [692] 90 121 122
Schaefer, J.      [821] 305
Scheffler, F.      [40] 154
Schmitt, h.a.      [822] 360
Schmutz      [648] 162
Schr $\ddot{o}$ dinger      1 2 6 8 44 313
Schr $\ddot{o}$ dinger equation      1 16 20 23 24 28 29 77 90 101
Schr $\ddot{o}$ dinger picture      23
Schr $\ddot{o}$ dinger, E.      [823 824] 1 6 8 44 313
Schramm, P.      [415] 173
Schreiber, W.M.      [631] 173
Schreiber., A.W.      [21] 173 194 196 202
Schubert, R.      [825] 214
Schulman, L.S.      [153 244 370-374 414 486 538 662 665 819 826-834] 21 73 109 125 146 147 162 163 170 173 174 194 207 217 219 229 233 243 269 271 353 357
Schwarz derivative      82
Schwarz, A.S.      [50-52] 217
Schweber, S.S.      [835 836] 6
Schweizer, K.S.      [837] 132
Schwinger      11 19
Schwinger, J.      [838-842] 4 11 44 55 353
Sebastian, K.L.      [843] 194 199 200
Selberg trace formula      154 215-217
Selberg zeta function      154 428
Selberg, A.      [844] 154 215
Self-adjoint extension      118 130 338-345
Self-energy      6
Semenoff, G.      [573 744] 163
Semiclassical approximation      16 20
Semiclassical expansion      20 95 123 134-154 205
Semiclassical formula      14 16 17 20 150
Semiclassical Green function      150 206
Semiclassical limit      6 11
Semiclassical propagator      170 205
Semiclassical quantization      18 141
Semiclassical radial propagator      213
Semiclassical trace formula      152 213-215
Senjanovic, P.      [845] 172
Separation of variables      168-170
Sequ $\acute{i}$ - Santonja, A.J.      [320] 225
Serva      [226] 20
Sever, R.      [304] 282
Shabanov, S.V.      [846] 21
Sharan, P.      [564] 163 278 282 283
Sharp, D.H.      [196] 217 347
Shavgulidze, E.T.      [68 857] 21 125
Shepp, L.A.      [308 847] 322
Shiekh, A.Y.      [244 848] 73 79 164 166
Shimizu, A.      [849] 172
Shirkov, D.V.      [107] 22
Short-time kernel      7 14 16 31 72 108
Shvartsman, S.      [394] 20
Sieber      [37 39 41 850-853] 154 211 214
Silva, J.L.      [211] 180
Silvermann, S.      [386] 272
Sim $\tilde{o}$ es, T.J.M.      [392] 78
Simmons Jr., L.M.      [727] 177
Simon, B.      [794 854] 18 21 34 35 73
Singer, I.      [792] 39
Singh, L.P.      [855] 55 58-62 361
Singh, V.A.      [387 388 529 530 588] 66 194
Sirgue      [16 97 98 201 203] 20 33 73 178 208
Sissakian, a.n.      [457-463] 88 90 91 107
Sj $\ddot{o}$ strand, J.      [419] 144 145
Skagerstam, B. - S.      [602] 48 55
Slavnov, A.A.      [313] 22 48 55
Slobodenyuk, V.A.      [856] 211
Smilanski, U.      [649 851] 154 173 206
Smolyanov, O.G.      [857] 21
Smondyrev, M.A.      [940] 21
Smorodinsky, J.A.      [668] 107 237 290 293
SO() path integral      105 264
Sobczyk, J.      [731] 21
Solov'ev, Yu., P.      [68] 125
Somaratna, K.T.S.      [661] 175
Sommerfeld problem      229-230
Sommerfeld, A.      [861] 229
Sonego, S.      [862] 163 164
Source      58 59 427
Spector, D.      [294] 322
Spectral density      150
Spectral expansion      111 114
Spectral representation      28 29 151
Sphere      91 106 214 262 276
Spherical harmonic      65 428
Spheroidal function      90-91 119-122 262 428
Spin      271 355-358
Spruch, L.      [378] 225
Sritrakool, W.      [817-818] 21 198 213 293
St $\ddot{a}$ ckel determinant      169 428
St $\ddot{a}$ rk, F.      [152] 73 76 82 166 282
Static limit      202
Stationary phase      12 52 144 145 149 151
Stationary point      144-146 149 206
Statistical mechanics      34 35 132
Steiner, F.      [37-42 45 110 111 193 464-470 689 852 853 855 863-869] 1 3 14 16 17 20 31 43 44 55-63 65-68 73 76-81 84-88 102 121 141 143 148 152 154 167 211 213 217 225 237 361 362

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