Subject Index
555
rotation, 432
rotation invariance, 425
space-time, 419, 424
space translation invariance, 425
time reversal, 432
time translation, 432
time translation invariance, 424
time-reversal invariance, 425, 428
half-integer spin, 426, 428
integer spin, 425
Symmetry groups
XY spin models, 224
Symmetry line, 65, 73, 75
dominant, 60, 70
standard map, 60
Symmetry road, 73, 75
SZCdV theorem
scars, 213
T
Tendrils, 107, 117
Thermalization
ergodic gas, 188
quantum systems, 187, 376
random matrix theory
GOE, 191
Time average
as invariant, 197
Time reversal
operator, 423
Time-translation invariance
discrete
Floquet energy conservation, 340
Transfer matrix, 121
Transverse electric modes, 518
Transverse magnetic modes, 517
Turning point, 411
Turnstiles, 49, 83
Twist map, 56
U
Unfolding, 196
Unitary matrix
eigenphases, 274
extremize information, 276
invariant measure, 275
invariant metric, 275
parametric representation, 274
relation to Hermitian matrix, 279
symplectic, 428
Universal map, 48
V
Vandermonde determinant, 468, 495
Van Vleck generalization of WKB, 294
W
Wave packet
delay time, 256
Waveguide
quantum, 240
ripple
scattering theory, 263
ripple cavities, 240
Wentzel-Kramers-Brillouin (WKB)
semiclassical theory, 294
Wigner distribution, 156, 179, 180,
182, 242, 286, 288
Wigner function, 519
definition, 520
Wigner semicircle law, 168
Wigner–Smith delay time, 240, 256
histogram
ripple waveguide, 272
ripple waveguide, 269, 271
statistics, 272
Wigner surmise, 156, 241
Winding number, 48, 51, 53, 59, 84
inverse golden mean, 93
X
XY model with exchange anisotropy
quantum, 197
XY model with single-site anisotropy
quantum, 197
XY spin models
integrability, 223