Subject Index
549
path integrals, 294
semi-classical
DoF, 304
Gutzwiller trace formula, 295, 317, 323
anisotropic Kepler system, 325
H
Hamiltonian, 399
anisotropic Kepler system, 323
Arnol’d , 138
cesium in optical lattice, 358
colliding beam, 151
complete Arnol’d web, 139
complex Hermitian, 157, 474
delta-kicked rotor, 135, 363
1-d hydrogen
Stark field, 416
zero Stark field, 414
diamagnetic hydrogen, 328
double well potential, 408
driven infinite square well, 352
driven optical lattice, 141
driven particle
infinite square well, 352
effective, 255, 261
scattering matrix poles, 261
Floquet, 341, 344
definition, 342
generator of time translation, 421
Hermitian, 419
HOCl, 125
dimensionless variables, 126
Holt, 199
Morse oscillators, 227
non-Hermitian, 255
paradigm, 85, 93
pendulum, 405
quantum waveguide, 247
quaternion real, 157, 485
real symmetric, 155, 157
soft Sinai lattice, 230
STIRAP
classical, 384
time-periodic, 341
Toda, 199
two primary resonance model, 345
XY spin model
magnetic field, 226
Hamiltonian (GOE)
gives scattering matrix (COE), 284
scattering matrix (COE), 273
implies scattering matrix (COE) , 281
Hamiltonian matrix
effect of symmetries, 419, 428
quaternion real, 428
real symmetric, 426, 427
structure, 424, 428
rotation invariance, 425
space translation invariance, 425
time reversal invariance, 425, 428
time translation invariance, 424
Hamilton’s equations, 399
Hamilton’s principal function, 298,
301, 303, 305, 309, 402
Henon Heiles system, 21, 40, 71
Hermite polynomial, 469
Hessian, 33
Heteroclinic orbits
baker’s map, 203
HOCl molecule, 23, 123
Homoclinic orbits
baker’s map, 203
Homoclinic tangles, 126
Horseshoe
Smale, 100
ternary, 110
complete, 101
incomplete, 109
symbol tree, 110
Husimi distribution, 206, 218
Husimi function
Floquet eigenstate, 347
Husimi plots
ripple cavity, 266
Hydrogen
constant electric field, 529, 534
1-d approximation, 533, 534
1D, 414
dipole matrix elements, 533, 534
ionization, 369, 371
ionization curves, 371
ionization threshhold, 371
microwave driven, 369
microwave driven (see microwave
driven hydrogen), 340
microwave induced resonances, 369,
371
one dimensional, 371, 372
parabolic quantum numbers, 370
principal quantum number, 370
quenching, 371
Stark states, 369
static electric field, 370
549
path integrals, 294
semi-classical
DoF, 304
Gutzwiller trace formula, 295, 317, 323
anisotropic Kepler system, 325
H
Hamiltonian, 399
anisotropic Kepler system, 323
Arnol’d , 138
cesium in optical lattice, 358
colliding beam, 151
complete Arnol’d web, 139
complex Hermitian, 157, 474
delta-kicked rotor, 135, 363
1-d hydrogen
Stark field, 416
zero Stark field, 414
diamagnetic hydrogen, 328
double well potential, 408
driven infinite square well, 352
driven optical lattice, 141
driven particle
infinite square well, 352
effective, 255, 261
scattering matrix poles, 261
Floquet, 341, 344
definition, 342
generator of time translation, 421
Hermitian, 419
HOCl, 125
dimensionless variables, 126
Holt, 199
Morse oscillators, 227
non-Hermitian, 255
paradigm, 85, 93
pendulum, 405
quantum waveguide, 247
quaternion real, 157, 485
real symmetric, 155, 157
soft Sinai lattice, 230
STIRAP
classical, 384
time-periodic, 341
Toda, 199
two primary resonance model, 345
XY spin model
magnetic field, 226
Hamiltonian (GOE)
gives scattering matrix (COE), 284
scattering matrix (COE), 273
implies scattering matrix (COE) , 281
Hamiltonian matrix
effect of symmetries, 419, 428
quaternion real, 428
real symmetric, 426, 427
structure, 424, 428
rotation invariance, 425
space translation invariance, 425
time reversal invariance, 425, 428
time translation invariance, 424
Hamilton’s equations, 399
Hamilton’s principal function, 298,
301, 303, 305, 309, 402
Henon Heiles system, 21, 40, 71
Hermite polynomial, 469
Hessian, 33
Heteroclinic orbits
baker’s map, 203
HOCl molecule, 23, 123
Homoclinic orbits
baker’s map, 203
Homoclinic tangles, 126
Horseshoe
Smale, 100
ternary, 110
complete, 101
incomplete, 109
symbol tree, 110
Husimi distribution, 206, 218
Husimi function
Floquet eigenstate, 347
Husimi plots
ripple cavity, 266
Hydrogen
constant electric field, 529, 534
1-d approximation, 533, 534
1D, 414
dipole matrix elements, 533, 534
ionization, 369, 371
ionization curves, 371
ionization threshhold, 371
microwave driven, 369
microwave driven (see microwave
driven hydrogen), 340
microwave induced resonances, 369,
371
one dimensional, 371, 372
parabolic quantum numbers, 370
principal quantum number, 370
quenching, 371
Stark states, 369
static electric field, 370