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Dittrich W., Reuter M. — Classical and quantum dynamics
Dittrich W., Reuter M. — Classical and quantum dynamics

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Название: Classical and quantum dynamics

Авторы: Dittrich W., Reuter M.

Аннотация:

Graduate students who want to become familiar with advanced computational strategies in classical and quantum dynamics will find here both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, together with many worked examples throughout the text.This new edition has been revised and enlarged with chapters on the action principle in classical electrodynamics, on the functional derivative approach, and on computing traces.


Язык: en

Рубрика: Физика/Классическая физика/Классические поля/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: third edition

Год издания: 2001

Количество страниц: 385

Добавлена в каталог: 19.06.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\zeta$-function      283
Action functional      3
Action principles, of Euler — Maurituis      8
Action principles, of Hamiltonian      6
Action principles, of Jacobi      11 41
Action principles, of Langrange      3
Action principles, of Schwinger      11
Action, for the driven harmonic oscillator      33
Action, for the one-dimensional harmonic oscillator      29 48
Action, for the particle in a magnetic field      30
Action-angle variables      83
Adiabatic approximation      368
Adiabatic invariance      105
Adiabatic invariant      107
Aharonov — Bohm effect      334
Aharonov — Casher effect      373
Angle variable      84
Anyonization      378
Asymmetric top      347
Berry amplitude      369
Berry connection      329
Berry curvature      330
Berry phase      325 341
Bohr — Sommerfeld quantization rule      279
Braid group      378
Canonical adiabatic theory      139
canonical ensemble      262
Canonical one-form      349
Canonical perturbation theory      117 125 139
Canonical transformation      53
Caustics      213 215
Chern — Simons action      39
Chern — Simons mechanics      293
Chern — Simons quantum mechanics      305
Chern — Simons term      297 378
Classical limit      184
Commensurability      90 176
Complete elliptic integral      99
Conjugate points      41 213 322
Conservation laws      13
Coriolis forces      343
Coulomb potential with applied constant field      77
Coulomb problem      23
Cycloid pendulum      86
cyclotron motion      131
Degeneracy, accidental      136 151 161
Degeneracy, intrinsic      136 153
Degenerate systems      90
Density operator      260
Double-slit experiment      182
EBK quantization      310
Effective action      305 366
Effective action with adiabatic approximation      368
Einstein — de Broglie relation      201
Equivalence relation      287
external sources      187
Fermat's principle      11
Feynman propagator      183 249
Feynman — Soriau formula      216 226
Fixed point, elliptic      148
Fixed point, hyperbolic      148
Fourier path      223
Fractional statistics      378
Frenet's formulae      341
Functional differential equation      189
Gauge field      296
Gauge function      246 296
Gauss law constraints      298
Gaussian wave packet      255
Generating function      54
Generation functional      187
Group property for propagators      185
Gyrophase, invariant      353
Gyrophase, transformation      353
Hamilton — Jacobi equation      8 69 125
Hamilton's characteristic function      71
Hamilton's principal function      67
Harmonic oscillator, damped      65 76 86
Harmonic oscillator, in N-dimensions      23
Harmonic oscillator, parametric      357
Harmonic oscillator, perturbed      120 128
Harmonic oscillator, with time-dependent frequency      108 113 227
Hermite polynomials      253 259
Homotopy      287
Homotopy, class      288
Homotopy, group      288
Inertial frame      343
Integrable system      163
Jacobi $\theta$-function      208
Jacobi equation      48 50 235 320
Jacobi field      41 320
Kam theorem      127 155 157 171 173
Kepler problem      174
Kirkwood gaps      162
Lagrange multipliers      17
Landau damping      151
Large gauge transformations      298
Lewis — Riesenfeld theory      240 365
Libration      84 97
Liouville's theorem      163
Lorentz equation      16
Magnetic flux      334
Map, area preserving      163
Map, canonical      163
Maslov anomaly      319
Maslov index      318
Mathematical pendulum, perturbative treatment      122
Matsubara rule      284
Momentum description      202
Morse index theorem      52 319
N-dimensional harmonic oscillator, invariant      23
Newton's procedure      156
Nonlinearity parameter      177
One-loop approximation      305
Parabolic coordinate      77
Parallel transport      343
Particle creation      366
Particle in magnetic field      44 94 112
Partition function      281
Path integral, for free particle      197 236
Path integral, for general quadratic Lagrangian      211
Path integral, for harmonic oscillator      213 224 236
Path integral, for particle in a box      204
Path integral, for particle in a circle      206
Path integral, for particle in a constant force field      212 236
Pendulum, cycloid      86
Pendulum, Foucault      346
Pendulum, mathematical      122
Pendulum, periodically driven      170
Perturbation series      127
Perturbation theory      155
Poincare surface of section      163
Poincare — Birkhoff theorem      179
Point transformation      56
Poisson identity      209
Poisson's summation formula      207
Primary resonance      138
Product of paths      287
Proper action variable      92
Proper time      15
Quantum Hall effect      378
Reduction to an equilibrium problem      54
Reduction to initial values      62
Resonances, primary      148
Resonances, removal of      145
Resonant denominators      151
Rigid body      347
Rotated frame states      336
Rotating coordinate system      59
Rotating number      164
Runge — Lenz vector      23
Schroedinger equation      220
Schroedinger wave function      183 201
Semiclassical approximation      265
Semiclassical quantization      305
Separatrix      101 151
Small divisors      127 141 173
Small gauge transformations      297
Spectral flow      314
Standard mapping      167
Standard mapping, generalized      167
Stationary phase approximation      276
Stochastic behavior      171
Stochasticity parameter      167
strings      371
Superconvergent perturbation theory      155
Superposition principle      182
Symplectic 2-form      293
Time-ordering operation      188
Toda molecule      101
Topological quantization      208
Transition amplitude      182
Twist mapping      164
Twist mapping, radial      166
Vacuum persistence amplitude      359
Van — Vleck determinant      52 235
Variables, fast      139 325
Variables, slow      139 325
Virial theorem      24
Winding number      291
WKB, ansatz      108
WKB, approximation      265
WKB, propagator      235 270
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