Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Haake F. — Quantum signatures of chaos
Haake F. — Quantum signatures of chaos

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Quantum signatures of chaos

Автор: Haake F.

Аннотация:

This textbook provides an excellent introduction to a new and rapidly developing field of research. The topics treated include a detailed exploration of the quantum aspects of nonlinear dynamics, quantum criteria to distinguish regular and irregular motion, antiunitary symmetries (generalized time reversal) and a thorough account of the quantum mechanics of dissipative systems. Each chapter is accompanied by a selection of problems which will help the student to test and deepen his/her understanding and to acquire an active command of the methods.The second edition is significantly expanded. Of the considerable theoretical progress lately achieved, the book focusses on the deeper statistical exploitation of level dynamics, improved control of semiclassical periodic-orbit expansions, and superanalytic techniques for dealing with various types of random matrices.


Язык: en

Рубрика: Физика/Квантовая механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: second edition

Год издания: 2001

Количество страниц: 479

Добавлена в каталог: 11.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Accelerated decoherence      329 331—334
Action and angle variables      120
Adiabatic invariance      215 218
Anderson model      223 225 442
Antidot structures      320
Antilinearity      16 35 357
Antiunitarity      16 17 35 356
Antiunitary symmetries      3 15—36 356 367 369
Asymptotic level spacing distributions      69—78
Avoided crossing      38 39 156
Baker map      258 292 321
Band matrices      221 224 442—458
BBGKY hierarchy      210
Berezinian      81 410 427 431
Berry conjecture      63 189
Berry — Robnik conjecture      317
Berry's diabolo      45
Bifurcation      318
Billiard      63 182 188
Billiard on surface of negative curvature      160
Bloch functions      223
Bloch vector      386
Bohigas — Giannoni — Schmit conjecture      8 47 142
Bootstrap      304—311 316
Born approximation      325 377 390
Bose — Einstein condensate      2 320
Break time      8 9 228 236 380 382
Brownian motion      9 142 198 218
Calogero — Moser dynamics      146
canonical ensemble      163 175
Canonical transformations of Hamiltonians or Floquet operators      19 31 37
Canonical transformations, orthogonal      20 26 32
Canonical transformations, symplectic      25 33
Canonical transformations, unitary      19 23 32
Cat map      160 265 274
Caustic      120 261 275 281 321
Caustic, g-space      121 279
Caustic, p-space      121 279
Central limit theorem      86 312
Chaotic resonator      320
Chapman — Kolmogorov equation      200
Chirikov's standard map      227 374
Circular ensembles of random matrices      68 175 333 389
Cluster function      67 83 84 91—95 112 118 139 210
Codimension of a level crossing      40 43 53 68 123 148 156 161 317
Coherence      329
Coherent states      329 388
Coherent states of an angular momentum      239 388
Collapse and revival      2 11 245
Collision time      190
Complex (quasi) energy      10 68 323 339—346
Complex conjugation of Grassmannians      400 406 421 458
Conductance      179
Conjugate points      260 277
Conventional time reversal      17 25
Coulomb gas model      203 209—215 218
Coupling agents      325
Covariance under time reversal of Floquet operators      31
Cubic repulsion      343 357 367 369
Cumulants      93 94 98
Cycle expansion      319
Damped rotator      374—382
Degree of level repulsion      5 11 34 40 42
Delta function of a Grassmann variable      438
Density-density correlation function      66 68 133 136
Detailed balance      204 369—374
Determinants as Gaussian integrals      78—82 186 347
Diagonal approximation      294
Differential forms      362
Diffusion      8 199 221 227 376 380
Disordered systems      35 223 234 392 442
Dyadic vector      332 334
Dyson — Pastur equation      211
Ehrenfest time      87 274 296 318
Eigenvector distributions      60
Emstein — Brillouin — Keller approximation      121 152
Energy-dependent propagator      267
Equilibration of spectra      190 207
Ergodicity      87 120 157
Ergodicity of level dynamics      156
Ergodicity of random-matrix ensembles      47 64 95 102 175 199
Euler — Maclaurin summation formula      355
Exponential proliferation      257 274 293 313
Fermi's golden rule      328 331 387
Fictitious-particle dynamics      9 144 146 176 191
Floquet operator      8 10 11 27 30 31 63 142 226
Flow      15
Fluctuation-dissipation theorem      326
Focal points      261
Fokker — Planck equation      201 202 209
Form factor      83 85 90 92 102 114
Fresnel integral      82 254
Frobenius — Perron operator      319
Functional equation      100 274 305
Furstenberg's theorem      224 228
Gap probability      71 124 163 193
Gaussian ensembles of random matrices      47 67 176 179 202 218 344 346 356
Gaussian integral, multiple      78 233 249 347
Ghost orbits      318
Ginibre's ensemble      346
graphs      274
Grassmann variables      78 347 389
Grassmann variables, complex conjugation of      393 404 406
Green function      58 182 232 392 416 417 441
Green function, advanced      424
Green function, retarded      424
Gross — Pitaevski equation      2 320
Group, SO(n)      20
Group, SU(n)      19
Group, symplectic      25
Hamilton — Cayley theorem      98 267 274
Hamilton — Jacobi equation      2 44
Hamiltonian embedding of dissipative dynamics      323
Hard modes      427 449
Hartwig — Fischer theorem      104
Heat bath      323 377 387
Heisenberg time      87 92 295 297 304 310 318
HOdA sum rule      292—295 298 301 315 316
Hole probability      352—356
Hubbard — Stratonovich transformation      394 407 414 442
Hydrogen      26 320
Inverse participation ratio      444
Jacobi equation      260
Jacobian for Grassmann variables      see “Berezinian”
Joint distribution of eigenvalues of Gaussian ensembles      51 54 346
Kepler problem      364
Kick      28
Kicked rotator      7—9 11 29 31 221 374 392
Kicked rotator vs Anderson model      225
Kicked rotator, experiment      222
Kicked rotator, limit of top      247
Kicked top      2—5 11 29 31 33 38 63 112 195 222 237 246 341 386
Kicked top, classical phase space of      152
Kicked top, damped      340
Kramers' degeneracy      3 5 21 32 40 45 50 83 91 156
Lagrangian manifold      251 275—280 321
Lagrangian manifold in the energy shell      277
Langevin equation      375
Lax form      147 217 218
Legendre transformation      268
Level clustering      3 11 59 119 223
Level crossing      123
Level crossing, intermultiplet      148
Level crossing, intramultiplet      149
Level curvature      179—187
Level equilibration      190 195
Level repulsion      3 9 11 37 59 221 223
Level repulsion, complex levels      341
Level spacing distribution, complex levels      352
Level staircase      59
Level velocity      187—190
Level width      10 11 370
Liouville — Von Neumann equation      324
Lloyd's model      223 231 444
Local and global energy scales      58 207—215
localization      221—248 392 442—458
Localization length      10 11 117 157 159 221 223 231 236 443 444
Localization, destruction of      323 374 380
Lyapunov exponent      1 6 225 256 293 296
MAP      27
Map, embedding in flow      289
Markovian processes      200 323 325 377 390
Maslov index      121 264 289
Master equation      10 323—331 377 383 387
Micro canonical ensemble      148 160 162 163
Microreversibility      369
Microwave resonators      179
Minimality vs extremality of the action      258
Mixed phase space      274 317—320
Moment-generating function      407
Monodromy matrix      264 285 293 300 307
Morse index      255—258 260 264 268 284
Morse theorem      260
Multiplet      37 123 141 148
Nearly degenerate perturbation theory      38 156 367
Neben-diagonal      383
Newton's formulae      98 263 267 304
Nilpotent      400 406 411 421
Noether's theorem      362
Nonconventional time reversal      25 34 35
Nonseparability      2 44
Normal form      318
Normal form, codimension of      318
Numerical variable      400 403 405 406 421
Ornstein — Uhlenbeck process      201
Overdamped pendulum      328
Parisi — Sourlas — Efetov — Wegner theorem      412 429 441
path integral      253
Pauli master equation      327 378
Pauli matrices      18 24
Pechukas — Yukawa gas      9 148 175 218 360
Pechukas — Yukawa gas, confined      176
Periodic orbits      64 117 119 126 160
Periodically kicked systems      31
Pfaffian      80 89 204
Planck cell      241 317 320
Poincare map      275
Poisson brackets      15 119 145 146 217 239 361 365
Poisson brackets from commutators      152
Poisson summation formula      126 132 193
Poissonian ensemble      207
Poissonian process      3 5 11 123 139 344 345 388
Pollicott — Ruelle resonances      319
Porter — Thomas distribution      63
Primitive periodic orbit      263
Pseudo-orbit      308
Pseudo-vector      26
Quantum chaos criterion      44 63 323
Quantum map      28 83 224 226 228 332 339 350 356 379
Quantum measurement process      331
Quantum well      320
Quasi-energy      3 28;
Quasi-periodicity      1 225 236 242 244 323 336
Quaternion real matrices      24 25 51
Rabi frequency      386
Random potential      see “Disordered systems”
Random unitary matrices      47
Random-phase approximation      226 236 249 375
Rate equation      327 372 378
Recurrence      1 2 12 242 245 331
Replica trick      234
Resummation of periodic orbits      274
Riemann zeta function      78
Riemann — Siegel look-alike      305 310
Rydberg states      27
Saddle-point integration      396
Scars      64 319
Schrodinger cat state      10 329
Schrodinger cat state, long-lived      330
Second variation      254 416 427
Secular coefficients      98 106 116
Self-averaging      43 157 191 317 333 334
Self-correlation terms      266
Self-inversiveness      100 267 304
Semi-Poissonian distribution      139
Semicircle law      57 60 66 117 181 202 208 399 442
Semiclassical limit      119—138 251—320 384
Semiclassical quantization      311
Sensitivity to initial data      3
Sensitivity to initial data to perturbations      3 228 245
Sigma model      391 422
Sigma model, one-dimensional      442—458
skewness      383
Soft modes      427
Sparse matrices      441
Spectral determinant      see “Secular polynomial”
Spin relaxation      325
Stability matrix      see “Monodromy matrix”
Stable manifold      279
Stationary-phase approximation      128 129 132 254
Strange Attractor      333 335 375
Stroboscopic description      8 28
Super-radiance master equation      386
Superfluorescence      326
Superintegral      393
Supermatrix      401
Superposition of spectra      124 345 346
Supertrace      401
Supervector      400
Sutherland — Moser dynamics      146
Symmetry breaking      198—207
Taylor series for level spacing distributions      77
Tetrad      358
Thomas — Fermi distribution      126 130 131 139 273
Thouless formula      233
Thouless time      443
Threefold way      35
Time ordering      27 30
Time reversal      15—36
Time-scale separation      208—215 221 323 325 329
Toeplitz determinant      85 103 104
Torus quantization      7 121
Transition from clustering to repulsion      142 219 318
Transitions between universality classes      9 142 206—215 218
Trotter's product formula      252
Truncated exponential      352
Turning point      268
Two-body collisions      155
Unfolding inhomogeneous spectra      60 131 137 213 340 342
Universality of spectral fluctuations      9 37 47 142
Vandermonde determinant      69 88 101 205 347
von Neumann — Wigner theorem      38
Wave chaos      2 44 320
Wedge product      406 434
Weyl's law      58 126 131 159 272—274
Wick's theorem      407 447 459
Wick's theorem for Grassmann variables      409
Wick's theorem, superanalytic      410
Wigner distributions      54 59 69 117
Wigner function, Husimi function      319 306 320
WKB      152 281
Wojciechowski dynamics      146
Zaslavsky's map      374 379 381
Zeta function      300 305
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте