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| Dittrich W., Reuter M. — Classical and quantum dynamics |
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| Предметный указатель |
 -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  -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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