Subject Index
547
COE, 279
generating function, 165
GOE, 473
GSE, 489
n-body, 158
OE, 279
Coherent excitation
molecules, 384
Coherent state, 360
Conductance
Landauer
ripple waveguide, 263
ripple waveguide, 265
Conductance fluctuations, 289
Conjugate points, 305
harmonic oscillator, 306
Constant of motion
destruction, 195
Continued fraction, 48, 62
rational approximate, 62
Coordinate frames, 398
D
Degeneracy
accidental, 196, 200
diabolical points, 196
symmetry, 200
Delay time, 107, 118, 129, 256
average, 259
fractal, 110, 114
1-d scattering, 259
partial, 256, 258
wave packet, 256
Wigner–Smith, 256, 259, 262
ripple waveguide, 269
Delay time matrix, 258
Delta-kicked rotor, 521
Floquet map, 365
Floquet matrix, 367
quantum, 363
cantorus, 365
KAM-like behavior, 365
Delta-kicked rotor (quantum), 340
Density of classical paths, 306
Density of states, 296, 313
average, 314
1 DoF particle in potential well, 315
free particle, 314
Green’s function, 295
oscillations, 314
Determinant
properties of, 448, 468
Determinism, 3
Development parameter, 103
Diabolical point, 200
Diamagnetic hydrogen, 327
absorption spectrum
bifurcations, 336
cabsorption cross section, 330
chaotic trajectory, 330
classical SOS, 329
Fermi’s golden rule, 331
scaling behavior, 329
short periodic orbits, 334
Dicke effect
multi-ripple waveguide, 267
Diophantine approximation, 64
Dissociation , 123
Driven optical lattice
average energy, 382
quantum
Arnol’d diffusion, 378
E
Eigenphases
unitary matrix, 442
Eigenstates
harmonic oscillator, 469
hydrogen in constant electric field, 532
Eigenstate thermalization, 192
Eigenvalue nearest neighbor spacing
distribution
lower bound, 181
upper bound, 181
Eigenvalue number density, 179
GOE, 167
GUE, 482
Eigenvalue sequence
unfolding, 173
Eigenvalue spacing distribution, 179
Eigenvalue spectrum
from classical orbits, 317
Eigenvalue statistics
GOE, 167
number density, 167
GUE
number density, 482
nearest neighbor spacing
GOE, 178
GUE, 484
Eigenvalues
Floquet (see Floquet energy
eigenvalues), 340
3 -statistic, 158
nearest neighbor spacing, 158
Eigenvector probability density, 186
GOE, 186
547
COE, 279
generating function, 165
GOE, 473
GSE, 489
n-body, 158
OE, 279
Coherent excitation
molecules, 384
Coherent state, 360
Conductance
Landauer
ripple waveguide, 263
ripple waveguide, 265
Conductance fluctuations, 289
Conjugate points, 305
harmonic oscillator, 306
Constant of motion
destruction, 195
Continued fraction, 48, 62
rational approximate, 62
Coordinate frames, 398
D
Degeneracy
accidental, 196, 200
diabolical points, 196
symmetry, 200
Delay time, 107, 118, 129, 256
average, 259
fractal, 110, 114
1-d scattering, 259
partial, 256, 258
wave packet, 256
Wigner–Smith, 256, 259, 262
ripple waveguide, 269
Delay time matrix, 258
Delta-kicked rotor, 521
Floquet map, 365
Floquet matrix, 367
quantum, 363
cantorus, 365
KAM-like behavior, 365
Delta-kicked rotor (quantum), 340
Density of classical paths, 306
Density of states, 296, 313
average, 314
1 DoF particle in potential well, 315
free particle, 314
Green’s function, 295
oscillations, 314
Determinant
properties of, 448, 468
Determinism, 3
Development parameter, 103
Diabolical point, 200
Diamagnetic hydrogen, 327
absorption spectrum
bifurcations, 336
cabsorption cross section, 330
chaotic trajectory, 330
classical SOS, 329
Fermi’s golden rule, 331
scaling behavior, 329
short periodic orbits, 334
Dicke effect
multi-ripple waveguide, 267
Diophantine approximation, 64
Dissociation , 123
Driven optical lattice
average energy, 382
quantum
Arnol’d diffusion, 378
E
Eigenphases
unitary matrix, 442
Eigenstates
harmonic oscillator, 469
hydrogen in constant electric field, 532
Eigenstate thermalization, 192
Eigenvalue nearest neighbor spacing
distribution
lower bound, 181
upper bound, 181
Eigenvalue number density, 179
GOE, 167
GUE, 482
Eigenvalue sequence
unfolding, 173
Eigenvalue spacing distribution, 179
Eigenvalue spectrum
from classical orbits, 317
Eigenvalue statistics
GOE, 167
number density, 167
GUE
number density, 482
nearest neighbor spacing
GOE, 178
GUE, 484
Eigenvalues
Floquet (see Floquet energy
eigenvalues), 340
3 -statistic, 158
nearest neighbor spacing, 158
Eigenvector probability density, 186
GOE, 186