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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
$CP^{N}$-manifold      214
$p$-adic path integral      21
$\check{S}$tem, A.I.      [717] 32
$\check{S}\check{t}$ov$\acute{i}\check{c}$ek, P.      [877] 233
$\ddot{U}$nal, N.      [281 282] 296
$\delta$-function      24 47 123-124 128 156 158
$\delta$-function, $D$-dimensional      30 345
$\delta$-function, along a line      336 337
$\delta$-function, derivative-perturbation      129-130 158 334-336
$\delta$-function, Dirac particle      127 129 345 346
$\delta$-function, for electron      345
$\delta$-function, for positron      346
$\delta$-function, multiple (TV-fold)      334 336 343 344
$\delta$-function, on hyperplanes      336 337
$\delta$-function, one-dimensional      327
$\delta$-function, periodic      333
$\delta$-function, propagator      327 328 329 335 337
$\delta$-function, radial      328
$\delta$-function, relativistic      345 346
$\delta$-function, three-dimensional      328-345
$\delta$-function, time-dependent      324
$\delta$-function, two-dimensional      328-345
Abdalla, M.S.      [1 2 199] 168 188 193
Abers, E.S.      [3] 172
action      4-5 7-8 10-11 16 30 41 66 84 97 133
Action, classical      12 30 150
Action, Euclidean      34
Action-angle variables      142 206
Adamovski, J.      [4 5] 173 194 197 202
Addition theorem      64
Agarwal, G.S.      [6] 188 189
Aharonov - Bohm effect      157 233
Aharonov, Y.      [7] 233
Ahmedov, H.      [8 9] 245 268
Airy function      175 352 421
Akhundova, E.A.      [10] 175
Albeverio, S.      [11-20] 20 21 33 73 127 131 165 213 215 327 334-344
Alexandrou, C.      [21] 194 196 202
Alicki, R.      [22] 186
Aliev, T.M.      [23] 362
Ambj${\o}$rn, J.      [24] 20
Amplitude of paths      8
Anderson, A.      [25 26] 76 162 164 166 178 225 226 228 245 262 282
Anderson, S.B.      [26] 76 162 164 178 225 226 228 245 262 282
Annihilation operator      44 55
Anti - De Sitter gravity      273
Anticommuting algebra      55
Anticommuting relation      55
Anticommuting variables      55 58-59 61 165
Antoine      [28] 299
Antoine, J. - P.      [27] 21
Anyon      155 157 295-304 360
Anyon, coherent state path integral      360
Anyon, gravitational      302
Aoki, K.      [29] 365
Apfeldorf, K.M.      [30] 78 166
Arnold, V.I.      [31 32] 142
Arthurs, A.M.      [33-35] 21 66 73
Aurich, R.      [36-42] 154
Avez, A.      [32] 142
B$\ddot{a}$cker, A.      [45] 154
B$\ddot{o}$hm      [66 104-106 551] 22 66 102 103 108 112-115 119 121 240 244 245 258 259 262 264 265-267 271-273 304
Babbit, D.G.      [43] 72 73 173
Babcenco, A.      [404] 124-127
Badralexe, E.      [44] 189
Bakhrakh, V.L.      [46] 179
Balachandran, A.P.      [47] 206
Balazs, N.L.      [48] 154
Baltes, H.P.      [49] 154
Bandrauk, a.d.      [204] 363
Baranov, A.M.      [50-52] 217
Bargmann representation      44-48
Bargmann, V.      [53] 45
Barrier, hyperbolic      251
Barrier, penetration      211
Barut, A.O.      [54-60] 20 164 221-223 252 313 314
Basic path integrals      20 93
Basic path integrals, Besselian      20 87 93 156 160
Basic path integrals, Gaussian      13 37 38 39 52 73 93 97 160
Basic path integrals, Legendrian      39 93 156 158
Baskoutas, S.      [61-63] 186 187 190 191
Bassalo, J.M.F.      [64] 183
Bauch, D.      [65] 125 170 328
Becher, P.      [66] 22
Beeby, J.L.      [67] 222
Belokurov, V.V.      [68] 125
Bemido, C.C.      [81-87 141 142] 20 76 233 234 238 239 284 286 296 300 302 303
Ben - Abraham, S.I.      [69] 162
Benkaddour      [71] 236
Bentag, B.      [70] 20 236
Bentaiba      [71 72] 171
Benvegnu, S.      [73] 130
Beranada, J. - O.      [817 819] 21 213 293
Berezin integral      56
Berezin, F.A.      [74-78] 55 56 162 362
Berg, H.P.      [79] 233
Bergeron      [80] 353
Berry, M.V.      [88-92] 141 154 206 213 215
Bessel function      65 101 107 120-121
Bessel function, modified      100 121 426
Bethe      9 11 19
Bez$\acute{a}$k, V.      [93] 194 195
Bhagwat, K.V.      [94-96 575 583-588 641 642] 21 77 125 170 194 197-200 216 226 233 327 328
Billiard      16 154 214
Blanchard, Ph      [13 12 97 98] 20 73 165 213 215 282
Blau      [99] 163
Blau, S.K.      [100] 172
Blinder, S.      [101 102 487] 219 327
Boas      [103] 364 365
Boersma, J.      [928] 229
Bogoliubov, N.N.      [107] 22
Bohm, D.      [7] 233
Bohr      1 11 154
Bohr - Sommerfeld quantum conditions      141
Bolte, J.      [36 37 108-111] 142 150 152 154 206 213
Born      1
Borovikov, V.A.      [112] 144
Bosco, E.      [113] 194 198 200
Bose system      44
Boudjedaa      [114-118] 20 248 356
Bounames, A.      [114 115] 248 355 356
boundary conditions      38 40 61-63 130-131 156 158 213 217 347-353
Boundary conditions, anti-periodic      62
Boundary conditions, periodic      63
Boundary value problem      61-62 123
box      347-351
Box, Dirichlet boundary conditions      158 219 220 347 348
Box, mixed boundary conditions      158
Box, Neumann boundary conditions      158 219 220 347 348
Boyer, C.P.      [119] 90
Brillouin, L.      [120] 142
Brodimas, G.N.      [542] 186
Broeckx, F.      [405-407] 124-127
Brosens, F.      [121 233] 194 196 202
Brownian motion      18 33
BRST      163 164
Brush, S.G.      [122] 178
Brze$\acute{z}$niak, Z.      [14 15] 33 73 327 338 340-344
Buchholz, D.      [123] 207
Cabra, D.C.      [124] 357
Cai, J.M.      [125-127] 77 181 225 249 286 322
Cai, P.Y.      [125-129] 181 225 228 249 295 296 322
Calculus of variation      14 17 146
Caldeira, A.O.      [130 708] 189
Calogero model      230-232
Cameron - Martin formula      165
Cameron, R.H.      [131-133] 165
Camiz, P.      [134] 225
Campbell, D.K.      [204] 71 363
Campbell, W.B.      [135] 163
Camporesi, R.      [136] 262
Canright, G.S.      [137] 302
Carpio - Bemido, M.V.      [83-86 139-143] 76 233 238 284 286 293 296
Carreau      [144-146] 130 175 180 217 219
Cartan - Killing form      258
Cartier, P.      [147] 66 73
Casimir operator      110 258 270
Castrigiano, D.P.L.      [148-152 620] 73 76 82 166 183 193 194 197 199 282
Cavalieri      10
Cbc formula      363
Cerdeira, V      [153] 21
Chaichian      [154 155] 360
Chan, F.T.      [170] 232
Chandler, D.      [837] 132
Chaotic system      17 20 142-143 154
Chavel, I.      [156] 216
Chebotarev, A.M.      [685] 163
Chen, X.      [157] 360
Cheng, B.K.      [158-172 213 214 945] 176 177 180-184 186-189 194 197 222 229 232 234
Cheng, K.S.      [173] 162
Cheng, P.      [174] 214
Chetouani, L.      [70-72 114-117 194] 20 76 80 88 166 171 193 194 198 199 203 221 226-229 236 245 248 253 277 279 283-287 289 296 322-325 356
Choquard formula      17
Choquard, Ph      [192 193] 3 14 16 17 31 148 206
Chouchaoui, A.      [175 176 194] 203 229 279
Chow, P. - L.      [195] 194
Christoffel symbol      68 73
Clark, V      [196] 217 347
Clutton - Brock      [197] 206
Cofactor      169
Cohen, L.      [198] 73 162
Coherent states      44-55 353-361
Coherent states, fermion      55-56 353-365
Coherent states, flag manifold      358
Coherent states, harmonic oscillator      50 353
Coherent states, quadratic      353-355
Coherent states, regularized path integral      357
Coherent states, spinning particle      55 59 60
Colegrave, R.K.      [199] 168
Coleman, S.      [200] 34 363
Combe, Ph      [16 98 201 202] 20 33 178 208
Commutation relation      23 44 45
Completeness relation      23 29 47
Composition law      5-7 24 26 31 105
Comtet, a.      [28 204] 299 363
Conjugate point      17 146-148
Conjugate variable      3 4
Continuous spectrum      27 29
Cooper, F.      [205] 61 62
Coordinate space representation      24
Coordinates, bispherical      264 267
Coordinates, Cartesian      11 30-31 36-37 91 157
Coordinates, curvilinear      10 162 365
Coordinates, cylindrical      109-110 113
Coordinates, Darboux      206
Coordinates, ellipsoidal      91
Coordinates, elliptic      90-91 119-122 260
Coordinates, equidistant      268 305
Coordinates, Hamilton - Jacobi      164
Coordinates, horocyclic (horicyclic)      118 268 305
Coordinates, parabolic      88-91 260 277 279 283 291 293 298 301
Coordinates, paraboloidal      91
Coordinates, polar      91 261 278
Coordinates, spherical      63-66 91 99-102 121 258 259 268 293
Coordinates, sphero-elliptic      91 283
Coordinates, spheroidal      90-91 119-122 261 262
Coordinates, toroidal      233
Correlation function      172 362
Correspondence rule      68-69
Correspondence rule, anti-standard      69
Correspondence rule, Bom - Jordan      69
Correspondence rule, standard      69
Correspondence rule, symmetric      69
Correspondence rule, Weyl      69
Coulomb potential      277-295
Coulomb potential, $D$-dimensional      289
Coulomb potential, and Aharonov - Bohm potential      287
Coulomb potential, Dirac      294
Coulomb potential, in a sector      279
Coulomb potential, Klein - Gordon      294
Coulomb potential, modified (long-range)      234 235
Coulomb potential, non-isotropic      280 288
Coulomb potential, on hyperboloids      313-317
Coulomb potential, on spheres      314 316
Coulomb potential, one-dimensional      277
Coulomb potential, parabolic coordinates      88-91
Coulomb potential, polar coordinates      279 283 285 291
Coulomb potential, propagator      281
Coulomb potential, spaces of constant curvature      313-316
Coulomb potential, spherical coordinates      282 284
Coulomb potential, three-dimensional      281-289
Coulomb potential, trigonometric      252
Coulomb potential, two-dimensional      278 280 290
Craegh, S.C.      [851] 154
Crandall, R.E.      [206-209] 222 228 249 327
Creation operator      55
Creutz      [210] 22
Cui, H.L.      [500] 177
Cunha      [211] 180
Curvature, constant negative      90
Curvature, constant positive      90
Curvature, scalar      68
Cylindrical functional      138 207
D$\ddot{u}$rr      [267] 296
D$\k{a}$browski, L.      [15 73] 130 327 338 340-344
D'Olivo, J.C.      [260 902] 162 194 199
Da Cruz, W.      [212] 20
Da Luz, M.G.E.      [171 213 214] 222 229 325
Dane, C.      [215] 304
Darboux, G.      [216] 168
Das, A.      [217] 22
Dashen, R.      [218 219] 165 194
Datta, S.      [576] 194 200
Daubechies, I.      [220 601] 357
Davies, H.      [221] 71
Davies, I.M.      [222] 183
De Aguiar, M.A.M.      [224] 222
de Alfaro, V.      [225] 363
De Angelis, G.F.      [226] 20
De Carvalho, T.O.      [227] 221
De Souza Dutra, A.      [172 230 231 318 321] 162 175 189-191 193 234
De, R.      [223 283] 79
Degenerate parametric amplifier      354
Deininghaus, U.      [228] 162
Dekker, H.      [229] 162
Demichev, A.P.      [154] 21
Density matrix      34
Desbois, j.      [28] 299
Determinant, fermion      61
Determinant, functional      38 39
Determinant, Van Vleck      see Morette - Van Hove determinant
Determinant, zeta function regularization      39
Devreese, J.T.      [121 232 233 354 404 408 409 754 755 798] 21 124-127 175 194 196 202 282
DeWitt - Morette, C.      [147 237-247 629 710-712 943] 20 33 66 73 76 83 135 140
DeWitt, B.S.      [234-236] 13 32 55 78
Dhara, A.K.      [249-251 643] 322
Diffusion      18 19
Diffusion equation      1 8
Dirac      3 4 7 11
Dirac equation      20
Dirac matrix      294
Dirac particle      129 156 345 346
Dirac, P.A.M.      [252-256] 3 4 11 32
Discrete spectrum      27 28
Dittrich, W.      [257] 21
Dobry, A.      [124] 357
Dodonov, V.V.      [10 258 259] 173 175
Donsker, M.D.      [261] 202
Dowker, J.S.      [174 262-266 690] 69 73 102 162
Dreyfus      [649] 173
1 2 3 4 5
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