554
Subject Index
Scattering channels
evanescent, 246, 249
propagating, 246, 249, 251, 258
waveguide, 265
Scattering chaos, 110, 113
HOCl, 127
Scattering matrix, 251, 253
1-d scattering, 255
circular orthogonal ensemble (COE),
274
complex energy poles, 254
complex poles, 260
Wigner–Smith delay time, 260
eigenphases, 256
Floquet , 394
GOE Hamiltonian, 272
reaction matrix, 273
S-matrix, 241
spectral decomposition, 257, 258
Scattering matrix (see S-matrix), 240
Scattering matrix (COE)
Hamiltonian (GOE), 273
Scattering resonances
nearest neighbor spacing, 241
nuclear scattering data, 285
slow neutrons, 241
slow neutron scattering, 285
Scattering theory, 243
acoustic cavities, 289
chaos, 267
COE, 272
2DEG, 262
GOE, 272
magnetic fields, 289
microwave cavities, 289
multi-channel, 258
multichannel
delay times, 256
reaction matrix, 243
ripple
Wigner–Eisenbud, 263
ripple waveguide, 262
resonances, 263
semi-classical path integrals, 337
waveguides, 243
Wigner–Eisenbud, 241, 251
Schrödinger equation
driven infinite square-well, 353
hydrogen in constant electric field, 529
two primary resonance model, 346
Self-similarity, 48, 69
Separatrix, 30, 49
Similarity transformation, 157
orthogonal, 157
symplectic, 157
unitary, 157
Sinai periodic lattice
soft, 229
S-matrix, 240, 441
poles, 240
Soft Sinai lattice, 198
Solar system, 4, 149
stability, 134
Spectral decomposition, 220
Square well system, 412
Stable manifold, 93
Staircase function, 174
Standard map, 48, 64
coupled, 136
Stationary phase approximation, 308,
318, 319
Stationary phase method, 300
Stimulated Raman Adiabatic Passage
STIRAP, 384
STIRAP, 341
adiabatic transitions, 393
Floquet states, 387
quasienergy avoided crossings, 390
Schrodinger equation, 386
Stimulated Raman Adiabatic Passage,
384
Stochastic layer, 49, 136
Strobe plot, 147
cesium in optical lattice, 359
STIRAP, 386
Supersymmetry, 289
Surface of section, 20
lattice, 25, 198
Poincaré, 50, 112, 197, 264, 269
ripple cavity, 270
Symbolic dynamics, 109, 119, 337
Symbolic sequence, 114
Symmetries
global, 12
hidden, 12, 19
Symmetry
continuous, 420, 422
infinitesimal transformations, 420
rotation, 421
space translation, 421
time translation, 421
degeneracy, 200
discrete, 422–424
parity, 423
time reversal, 423
global, 149
Hamiltonian matrix, 419, 428
hidden, 149
Subject Index
Scattering channels
evanescent, 246, 249
propagating, 246, 249, 251, 258
waveguide, 265
Scattering chaos, 110, 113
HOCl, 127
Scattering matrix, 251, 253
1-d scattering, 255
circular orthogonal ensemble (COE),
274
complex energy poles, 254
complex poles, 260
Wigner–Smith delay time, 260
eigenphases, 256
Floquet , 394
GOE Hamiltonian, 272
reaction matrix, 273
S-matrix, 241
spectral decomposition, 257, 258
Scattering matrix (see S-matrix), 240
Scattering matrix (COE)
Hamiltonian (GOE), 273
Scattering resonances
nearest neighbor spacing, 241
nuclear scattering data, 285
slow neutrons, 241
slow neutron scattering, 285
Scattering theory, 243
acoustic cavities, 289
chaos, 267
COE, 272
2DEG, 262
GOE, 272
magnetic fields, 289
microwave cavities, 289
multi-channel, 258
multichannel
delay times, 256
reaction matrix, 243
ripple
Wigner–Eisenbud, 263
ripple waveguide, 262
resonances, 263
semi-classical path integrals, 337
waveguides, 243
Wigner–Eisenbud, 241, 251
Schrödinger equation
driven infinite square-well, 353
hydrogen in constant electric field, 529
two primary resonance model, 346
Self-similarity, 48, 69
Separatrix, 30, 49
Similarity transformation, 157
orthogonal, 157
symplectic, 157
unitary, 157
Sinai periodic lattice
soft, 229
S-matrix, 240, 441
poles, 240
Soft Sinai lattice, 198
Solar system, 4, 149
stability, 134
Spectral decomposition, 220
Square well system, 412
Stable manifold, 93
Staircase function, 174
Standard map, 48, 64
coupled, 136
Stationary phase approximation, 308,
318, 319
Stationary phase method, 300
Stimulated Raman Adiabatic Passage
STIRAP, 384
STIRAP, 341
adiabatic transitions, 393
Floquet states, 387
quasienergy avoided crossings, 390
Schrodinger equation, 386
Stimulated Raman Adiabatic Passage,
384
Stochastic layer, 49, 136
Strobe plot, 147
cesium in optical lattice, 359
STIRAP, 386
Supersymmetry, 289
Surface of section, 20
lattice, 25, 198
Poincaré, 50, 112, 197, 264, 269
ripple cavity, 270
Symbolic dynamics, 109, 119, 337
Symbolic sequence, 114
Symmetries
global, 12
hidden, 12, 19
Symmetry
continuous, 420, 422
infinitesimal transformations, 420
rotation, 421
space translation, 421
time translation, 421
degeneracy, 200
discrete, 422–424
parity, 423
time reversal, 423
global, 149
Hamiltonian matrix, 419, 428
hidden, 149