Subject Index
A
Absorption cross section
diamagnetic hydrogen
experiment, 333, 334
Accelerator
colliding beam, 151
particle, 151
Action
extremization, 294
stationary, 52
Action integral, 310, 316
Action-angle coordinates
double-well system
untrapped motion, 411
Action-angle variables, 14, 143, 385, 401
Anderson localization, 369
dynamic, 368
Angular momentum
eigenstates, 346
generator of rotation, 421
Anisotropic Kepler system, 294, 323
binary sequence, 324
periodic orbits, 324
scaling properties, 325
Antilinear operator
definition, 420
Arnol’d diffusion, 133, 137,
139, 140, 146, 147, 152, 341
quantum
driven optical lattice, 378
energy instability, 384
quantum systems, 376, 377
Arnol’d web, 2, 133, 136, 138, 139, 143,
145, 149, 152, 341
atomic system, 152
conductance, 377
hydrogen
crossed E and M fields, 376
quantum
coupled oscillators, 377
Asymptotic region, 111, 240
Atom optics experiments, 358
Atomic units, 528
Avoided crossing
Landau-Zener probability, 391
Avoided crossings, 209, 356
driven square well, 355
STIRAP, 390
Axial vector, 423
B
Baker’s map, 40
homoclinic orbits, 203
classical, 203
heteroclinic orbits, 203
Husimi function, 206
periodic orbits, 203
quantized, 206
quantum, 203
scars, 208
Band structure
avoided crossings, 198
Bernoulli shift, 40, 48, 55, 56
Berry conjecture;Wigner function, 187
Bifurcation
classical orbits, 295
period doubling, 48, 71, 73, 75
© Springer Nature Switzerland AG 2021
L. Reichl, The Transition to Chaos, Fundamental Theories of Physics 200,
https://doi.org/10.1007/978-3-030-63534-3
545
A
Absorption cross section
diamagnetic hydrogen
experiment, 333, 334
Accelerator
colliding beam, 151
particle, 151
Action
extremization, 294
stationary, 52
Action integral, 310, 316
Action-angle coordinates
double-well system
untrapped motion, 411
Action-angle variables, 14, 143, 385, 401
Anderson localization, 369
dynamic, 368
Angular momentum
eigenstates, 346
generator of rotation, 421
Anisotropic Kepler system, 294, 323
binary sequence, 324
periodic orbits, 324
scaling properties, 325
Antilinear operator
definition, 420
Arnol’d diffusion, 133, 137,
139, 140, 146, 147, 152, 341
quantum
driven optical lattice, 378
energy instability, 384
quantum systems, 376, 377
Arnol’d web, 2, 133, 136, 138, 139, 143,
145, 149, 152, 341
atomic system, 152
conductance, 377
hydrogen
crossed E and M fields, 376
quantum
coupled oscillators, 377
Asymptotic region, 111, 240
Atom optics experiments, 358
Atomic units, 528
Avoided crossing
Landau-Zener probability, 391
Avoided crossings, 209, 356
driven square well, 355
STIRAP, 390
Axial vector, 423
B
Baker’s map, 40
homoclinic orbits, 203
classical, 203
heteroclinic orbits, 203
Husimi function, 206
periodic orbits, 203
quantized, 206
quantum, 203
scars, 208
Band structure
avoided crossings, 198
Bernoulli shift, 40, 48, 55, 56
Berry conjecture;Wigner function, 187
Bifurcation
classical orbits, 295
period doubling, 48, 71, 73, 75
© Springer Nature Switzerland AG 2021
L. Reichl, The Transition to Chaos, Fundamental Theories of Physics 200,
https://doi.org/10.1007/978-3-030-63534-3
545