Subject Index
553
GUE
information extremization, 478
polar form, 478
OE, 277
reduced, 164
generating function, 164
Projection operators, 240, 244
Q
Quantum control, 384
Quantum number destruction, 350
Quantum spin model
quantum web, 225
XY
anisotropy, 223
character table, 224
magnetic field, 226
multiplication table, 224
symmetry groups, 224
Quantum web, 197, 225
XY spin model, 226
Quasienergy, 341
Quasienergy (see Floquet energy), 340
Quasienergy avoided crossings, 355
Quaternion, 455, 460
dual, 456
GOE, 460
Hermitian, 456
Hermitian adjoint, 456
quaternion adjoint, 456
quaternion real, 455, 457
self-dual, 457
transpose, 456
Quaternion determinant, 458, 460, 471
self-dual quaternion, 458, 461
R
Rabi frequency, 358
Radiation
high harmonic, 356
power spectrum, 356
Random matrix theory, 155, 240, 474, 485
motivation, 156
Random sequence
3 -statistic, 176
Rational approximates, 49, 65
Reaction matrix, 240, 243, 248, 253
scattering matrix, 273
Reaction region, 111, 240, 247
basis states
ripple waveguide, 269
ripple waveguide, 267
Renormalization (classical)
Hamiltonian, 49
map, 49
Renormalization chaos, 71
Renormalization theory
quantum, 351
Resonance
conditions, 135, 138
guiding, 139
lines, 135
nonlinear, 12
hydrogen, 369
microwave induced, 369
Resonance (classical), 47
resonance condition, 345
width, 345
Resonance (quantum), 345
overlap, 340, 345
two primary resonance model, 349
overlap condition, 349, 350
width, 349
Resonance peaks
nearest neighbor spacing
molecular scattering experiments,
241
nuclear scattering experiments, 241
Response function, 296
chaotic systems, 318
2 DoF, 322
Restricted 3-body problem, 149
Riemann surface of negative curvature,
294, 337
Riemann zeta function
GUE, 234
Rotation, 144
Rotation operator, 423
Runga-Lenz vector, 20, 149
Running time, 129
Rydberg atoms
1-d
high excitation, 394
S
Saddle point, 111, 126
Scars
in baker’s map, 196
in stadium billiard, 197
SZCdV theorem, 213
Scattering
nuclear, 493
slow neutrons , 240
slow neutrons, 241
553
GUE
information extremization, 478
polar form, 478
OE, 277
reduced, 164
generating function, 164
Projection operators, 240, 244
Q
Quantum control, 384
Quantum number destruction, 350
Quantum spin model
quantum web, 225
XY
anisotropy, 223
character table, 224
magnetic field, 226
multiplication table, 224
symmetry groups, 224
Quantum web, 197, 225
XY spin model, 226
Quasienergy, 341
Quasienergy (see Floquet energy), 340
Quasienergy avoided crossings, 355
Quaternion, 455, 460
dual, 456
GOE, 460
Hermitian, 456
Hermitian adjoint, 456
quaternion adjoint, 456
quaternion real, 455, 457
self-dual, 457
transpose, 456
Quaternion determinant, 458, 460, 471
self-dual quaternion, 458, 461
R
Rabi frequency, 358
Radiation
high harmonic, 356
power spectrum, 356
Random matrix theory, 155, 240, 474, 485
motivation, 156
Random sequence
3 -statistic, 176
Rational approximates, 49, 65
Reaction matrix, 240, 243, 248, 253
scattering matrix, 273
Reaction region, 111, 240, 247
basis states
ripple waveguide, 269
ripple waveguide, 267
Renormalization (classical)
Hamiltonian, 49
map, 49
Renormalization chaos, 71
Renormalization theory
quantum, 351
Resonance
conditions, 135, 138
guiding, 139
lines, 135
nonlinear, 12
hydrogen, 369
microwave induced, 369
Resonance (classical), 47
resonance condition, 345
width, 345
Resonance (quantum), 345
overlap, 340, 345
two primary resonance model, 349
overlap condition, 349, 350
width, 349
Resonance peaks
nearest neighbor spacing
molecular scattering experiments,
241
nuclear scattering experiments, 241
Response function, 296
chaotic systems, 318
2 DoF, 322
Restricted 3-body problem, 149
Riemann surface of negative curvature,
294, 337
Riemann zeta function
GUE, 234
Rotation, 144
Rotation operator, 423
Runga-Lenz vector, 20, 149
Running time, 129
Rydberg atoms
1-d
high excitation, 394
S
Saddle point, 111, 126
Scars
in baker’s map, 196
in stadium billiard, 197
SZCdV theorem, 213
Scattering
nuclear, 493
slow neutrons , 240
slow neutrons, 241