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

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
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Предметный указатель
Drouffe, J. - M.      [533] 22
Drumond, C.      [211] 180
Duistermaat - Heckman formula      163
Duistermaat, J.J.      [268 269] 163
Dunham, j.l.      [270] 206
Durhuus, B.      [24] 20
Duru - Kleinert transformation      see Space-time transformation
Duru, I.H.      [9 55-58 271-282] 20 66 76 81 87 88 99 122 130 221-223 243 245
Dutt, r.      [223 283] 79
Dykstra, H.M.      [284] 163
Dyon      296-299
Dyon and Aharonov - Bohm field      299
Dyon inside a sphere      299
Dyon, modified      297
Dyson      6 8 11 15 35
Dyson, F.J.      [285-287] 6 8 11 15 35
EBK      143 151 206
Edwards, S.F.      [288-292] 66
Efimov, G.V.      [293] 202
Efthimiou, C.J.      [294] 322
Ehrenfest      1
Ehrenfest, P.      [295] 1
Einstein      14 141-143
Einstein, A.      [296] 14 141-143
Eisenhart, L.P.      [297] 168
electric field      177
Electrodynamics      6 9 11 14 16 20 33
Ellinas, D.      [155 298] 360
Elworthy, B.S.      [241 242 299 300] 73
English, L.Q.      [301] 178
Ercolessi, E.      [302] 358
Erd$\acute{e}$lyi, A.      [303] 65 98 100
Erko$\k{c}$, $\k{S}$      [304] 282
Error function      327 330-335 350 426
Euclidean action      34
Euclidean path integral      33 34 425
Euclidean time      1 18 33
Euler - Lagrange equations      96 99 126 173
Evans, N.W.      [305] 107 290
Exner, p.      [306 307] 21 33
Expansion formula, elliptic      119-122
Expansion formula, pseudo-spherical      121
Expansion formula, spherical      65
Expansion formula, spheroidal      90-91 119-122 261 262
Ezawa, h.      [308 309] 62
Faddeev - Senjanovic formula      see Constraint path integral
Faddeev, L.D.      [310-313] 22 48 55 58
Fagen, R.E.      [132] 165
Fainberg, V.Ya      [23] 362
Fanelli, R.      [314] 78
Fano, G.      [315] 230
Farhi, E.      [145 146 316 317] 130 180 219
Farina de Souza, C.      [231 322 321] 173 175 177
Farina, C.      [318-320] 175 225
Fay, J.D.      [323] 308
Fermion determinant      61
Ferraro, R.      [324] 20
Feshbach, H.      [714] 90
Feynman - Dyson formula      35
Feynman - Green function      137
Feynman - Kac formula      1 18-19 34
Feynman diagram      9
Feynman kernel      2-3 13 17 23-24 26-27 30
Feynman path integral      8 19 31 37
Feynman propagator      53-54 60
Feynman rules      9 20 54
Feynman's i $\epsilon$-prescription      see i $\epsilon$-pre- scription
Feynman, R.P.      [325-342 920] 2 6-9 10 11 13-15 18 20-22 26 32-35 37 40 41 53 54 60 71 124 125 132-134 194
Finkler, P.      [135] 71 163
Fiorenza, G.      [500] 177
Fischer, W.      [343-345] 73 76 82 102 113
Fishman, L.      [346] 162
Fiziev, P.P.      [347] 208
Flag manifold      358
Fleischer, W.      [21] 194 196 202
Fock space      44-45 47 50 56-57
Fock vacuum      44 47
Foerster, A.      [348] 172
Fokker - Planck process      186
Fokker, A.D.      [349] 186
Foong, S.K.      [243] 20
Fourier series      39 165
Frank, A.      [350] 116
Free energy      133
Free particle      28 30 39 43 174 176 177 227
Freed, K.F.      [290 351 591] 194
Freedman, b.      [205] 61 62
Friction      see Damped oscillator
Friedrich, H.      [352] 154
Friesner, R.A.      [353] 132
Frolov, I.V.      [50 51] 217
Frosen, F.      [354] 194
Fujii, K.      [355] 214
Fujikawa, K.      [356] 170
Fukutaka, H.      [357-359] 78 83
Funahashi, K.      [355 360] 214 271
Functional      13
Functional, cylindrical      138 207
Functional, determinant      38 39 43 97
Functional, generating      53 60 157 207 362
Functional, integral      2 18
Functional, integration      34
Functional, reflection symmetry      211
Functional, space      10
Functional, weight      66 101 107 117
G$\ddot{u}$ler, Y.      [716] 172
Gadella      [361] 69
Gamboa, J.      [362] 233
Ganbold, G.      [293] 202
Gangoli, R      [363 364] 219
Gangopadhyay, D.      [365] 165
Garczynski, W.      [366] 172
Garrod, C.      [367] 71 73
Gaussian, integral      28 37 41-42 55 58 71 139
Gaussian, measure      136 139
Gaussian, path integral      13 37 38 39 52 73 93 97 160
Gavazzi, G.M.      [225 368 369] 162
Gaveau, B.      [370-374] 20
Gaw$\k{e}$dzki, K.      [375] 164
Gegenbauer polynomials      65 425
Gelfand, I.M.      [376] 16 18 165
Gell - Mann      [377] 7
Gelman, D.      [378] 225
Gendenshte$\breve{i}$m, L.$\acute{E}$      [379] 61
Generating function      4
Generating functional      53 60 172 362
George, T.F.      [941 942] 190 193
Gerardi, A.      [134] 225
Gerlach, B.      [5 4] 173 194 197 202
Gerry, c.c.      [380-388 528] 66 78 135
Gervais, J. - L.      [389] 73 78
Gesztesy, R.J.      [17] 20 127 131 334-339
Giachetti, R.      [390] 132
Giang, N.T.      [496] 282
Gildener, E.      [391] 61 62
Girotti, H.O.      [348 392] 78 172
Gitman, D.M.      [393 394] 20
Glasser, M.L.      [395] 175
Gleick, J.      [396] 14 18 19
Glimm, J.      [397] 18 21 34
Golden, S.      [398] 133
Goodings, D.A.      [399] 218
Goodman      [400] 219
Goovaerts, M.J.      [401-410 472 473] 99 124-127
Got$\acute{o}$      [411] 186
Gozzi, e.      [412] 164
Grabert, H.      [414] 21
Gradshteyn, I.S.      [413] 65 90 100 112 121
Graham, R.      [228 416 415] 162 173
Grassmann variables      55 58-59 61 165
Greco, A.      [124] 357
Green function      2 20 23 30 81 86 176 179 206 218-220 222 224 226 227 263 266 277 306
Grigis, A.      [419] 144 145
Grinberg, H.      [417 418] 76
Grosche, C.      [103 421-470] 35 55 66 67 72-74 76-81 88 90 91 102 107 108 119-122 125-131 364 365
Grosjean, C.C.      [471-473] 124
Gross, E.P.      [474] 194
Group manifold      93 258
Group quotient      262
Group space      258-276
Grundberg, J.      [475 476] 360 363
Guechi, L.      [70 116-118 177-184] 20 76 80 166 193 221 229 253 287 296 322-325
Guillemin, V.W.      [268 477] 149
Gulyaev, Y.V.      [291 292] 66
Gunther, N.J.      [478] 165
Gutmann, S.      [145 146 317 316] 130 175 180 219
Gutschick, V.G.      [727] 177
Gutzwiller trace formula      17 20 141-154
Gutzwiller, M.C.      [479-484 819] 17 21 124 141-143 151 152 154 206
H${\o}$egh - Krohn, R.      [13 12 16-19 201] 20 21 33 73 127 131 165 208 213 215 334-339
Haar measure      104
Haeffner, W.      [485] 180
Half-space, Dirichlet boundary conditions      347
Half-space, Neumann boundary conditions      347
Hamilton - J acobi equation      1 15 17
Hamilton - J acobi theory      14
Hamilton Jr., J.F.      [486] 357
Hamilton, principal function      30 99 145 147
Hamilton, principle      6 12 145 147
Hamiltonian      1-3 6 40 44 50 59 61 67 69 72 77
Hamiltonian, classical      23
Hamiltonian, effective      71
Hamiltonian, free      27
Hammann, T.F.      [70-72 114-117 177-194] 20 76 80 88 171 193 198 199 203 221 226-229 236 245 248 253 277 279 283-287 289 322-325 355 356
Hankel function      426
Hannesson      [487] 219
Hansson      [475] 360
Harish - Chandra function      216
Harmonic analysis      106 107
harmonic oscillator      see Oscillator
Harrison, M.J.      [904] 182
Hasslacher, B.      [219] 165
Hawking, S.      [488] 39
Heat kernel      see Path integral
Heaviside step function      24 428
Heckman, G.J.      [269] 163
Heisenberg      1 8 154
Heisenberg commutation relation      23
Hejhal, D.A.      [489] 154
Heller, E.J.      [214] 222
Helmholtz equation      90
Henneaux      [490] 362
Henning, D.      [491] 336
Hermite polynomials      99 139 426
Hermitian operator      23 67
Hermitian space      see Hyperbolic space
Hern$\acute{a}$ndez, E.      [901] 189
Hesse      [38] 154
Hibbs, A.      [340 557] 2 6 9 10 20 26 34 40 132-134
Hietam$\ddot{a}$ki, A.      [492] 163
Higgs oscillator, on the hyperboloid      254
Higgs oscillator, on the sphere      243
Hilbert space      1 23-24 45 55 67 72 104
Hilf, E.R.      [49] 154
Hille - Hardy formula      100
Hillery      [493] 353
Hirshfeld, A.C.      [494 647] 70 162
Ho, R.      [495] 77 81
Hoang, L.V.      [496] 282
Holden, H.      [17] 20 127 131 334-339
Holstein, B.R.      [497-499] 180 211
Home, D.      [365] 165
Homogeneous space      106 108 109 155 158 258-276
Horing, N.J.      [500] 177
Horv$\acute{a}$thy, P.A.      [501] 178
Hostler, L.C.      [502-505] 282
Hott, M.B.      [231 318-320] 175 225
Huang, C.      [722] 217
Hull, T.E.      [513] 168
Hulth$\acute{e}$n, L.      [506] 249
Hurwitz transformation      88
Hurwitz, A.      [507] 76
Hydrogen atom      20 87-88 124
Hydrogen-like system      326
Hyperbolic space      155 157 304-322
Hyperbolic strip      157
Hyperboloid      91 106 155 304
Hyperboloid, $d$-dimensional      109 158 265 311
Hyperboloid, double-sheeted      158 427
Hyperboloid, single-sheeted      158 268 311 426
Hyperboloid, three-dimensional      158
Hyperboloid, two-dimensional      158
Hypergeometric function      115
Hyperspherical harmonic      65 428
I $\epsilon$-prescription      26 29 54
Ichinose      [508] 20 129
Ichinose, W.      [509] 163
Ikomori, H.      [510] 21
Iliopoulos, J.      [511] 20 172
Imaginary time      33
Immirzi, G.      [512] 79
Inamoto      [849] 172
Indefinite metric      74 103 156 268 273
Infeld, L.      [513] 168
Ingold, G. - L.      [415] 173
Inomata, a.      [59 60 86 87 125-129 142 143 267 384 385 414 484 495 514-531 552 553 633 771 819 886] 21 66 76 77 81 99-102 108 112 135 176 181 225-228 233 234 237-239 249 252 284 286 295 296 313 314 322
Instanton approximation      34
Integral kernel      2
Interbasis expansion      107-108
Inverted, Liouville problem      118 119 228 229
Inverted, oscillator      see Repelling oscillator
Irreducible representation, It$\hat{o}$ - Stratonovich integral      62
It$\hat{o}$, K.      [532] 84
Itzykson, C.      [511 533 534] 20 22 25 54 172
Jackiw, R.      [535] 338
Jacobi equation      147
Jacobi field      146-148
Jacobi operator      137
Jacobi polynomial      112 427
Jacobi theta function      428
Jacobian      79
Jacobson      [370 536-538] 21
Jaffe, A.      [397] 18 21 34
Jaglom, A.M.      [376] 16 18
Janke, W.      [539-541] 88
Jannussis, A.      [61-63 542] 186 187 191
Jaroszewicz      [544] 226
Jarvis, P.D.      [659] 234 236
Jaynes - Cummings model      356
Jehle      6
Jensen's inequality      133
Jevicki, a.      [389] 73 78
Jona - Lasinio, G.      [226] 20
Jones, A.V.      [545 756] 177
Jones, C.E.      [135] 71 163 176
Jonsson      [24] 20
Joos, H.      [66] 22
JORDAN      1
Jordan, P.      [546] 3
Junker, g.      [59 60 104-106 520-524 547-553] 21 66 77 102 103 112-115 119 121 174 240 245 252 258 259 262 264 265-267 271-273 304 313 314 363
K$\ddot{a}$rki      [726] 102 163 164 258
Kac      [370 554-557] 1 18-21 33 73 165
Kahng, W.H.      [900 942] 193
Kalnins, E.G.      [119 558-561] 90 115 118
Kalotas, T.M.      [478] 165
Kaluza - Klein monopole      88 157 300
Kanki      [562] 180
Kapoor, A.K.      [563 564] 66 71 163 278 282 283
Karayan, Kh      [457] 107
Kashiwa      [357-360 565-568 734] 83 162 163 361
1 2 3 4 5
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