552
Subject Index
Minimum uncertainty wave packet, 347,
360
standard deviation, 347
Molecular spectral spacing histograms, 287
Molecular spectral statistics , 287
Molecule
tri-atomic
CO2, 227
Momentum
generator of space translation, 421
Monodromy matrix, 320
Morse oscillators, 227
coupled
nearest neighbor eigenvalue
distribution, 228, 229
Morse potential, 197
Moyal bracket, 196, 198, 519, 522
Multi-photon ionization process, 369
N
Nekhoroshev regime, 146
driven optical lattice, 384
Nekhoroshev time, 137
Newton’s laws of mechanics, 3
Newton’s second law, 397
Newtonian mechanics, 149
Noether’s theorem, 17
Nuclear scattering, 240
slow neutrons, 285
spectral statistics, 285
Nuclear scattering data, 274
Nuclear scattering resonances
data, 286
GOE
3 statistics, 287
3 statistics, 288
O
Open quantum systems, 195
Operators
ordering, 521
time averaged, 221
Optical lattice, 140, 358
driven
Chirikov regime, 384
Floquet eigenstates, 148
Nekhoroshev regime, 384
dynamic tunneling, 360
oscillation frequencies, 361
primary resonances, 359
rubidium , 141
time-periodic
Floquet theory, 378
time-periodic forcing , 141
tunneling oscillations, 360–362
P
Parabolic coordinates, 530
Partial delay time, 240
Particle accelerator
beam stability, 134
Path integrals, 235, 294
anisotropic Kepler system, 324
chaotic systems, 294
Green’s function, 296
Pendulum, 405
libration, 406
phase space , 406
rotation, 407
Pendulum approximation, 90
microwave driven hydrogen, 375
Peres test
D-billiard, 197
soft Sinai lattice, 198
XY spin models, 197
Perihelion, 149
Perturbation expansions
quantum
convergence, 235
Perturbation theory, 13
Photoelectric effect, 369
Photon structures, 340
Pluto, 150
Poincaré surface of section, 20, 50,
195, 197
Poisson bracket, 399, 524
Poisson distribution, 156
Poisson kernal , 283
Polar vector, 423
Porter-Thomas distribution, 187
Primary resonance , 146
Principle of least action, 301
Probability density
cluster expansion, 164
GUE, 479
cluster functions, 165
COE, 279
extremize information
unitary matrix, 276
GOE, 164
information extremization, 163
polar form, 163
GSE
information extremization, 487
Subject Index
Minimum uncertainty wave packet, 347,
360
standard deviation, 347
Molecular spectral spacing histograms, 287
Molecular spectral statistics , 287
Molecule
tri-atomic
CO2, 227
Momentum
generator of space translation, 421
Monodromy matrix, 320
Morse oscillators, 227
coupled
nearest neighbor eigenvalue
distribution, 228, 229
Morse potential, 197
Moyal bracket, 196, 198, 519, 522
Multi-photon ionization process, 369
N
Nekhoroshev regime, 146
driven optical lattice, 384
Nekhoroshev time, 137
Newton’s laws of mechanics, 3
Newton’s second law, 397
Newtonian mechanics, 149
Noether’s theorem, 17
Nuclear scattering, 240
slow neutrons, 285
spectral statistics, 285
Nuclear scattering data, 274
Nuclear scattering resonances
data, 286
GOE
3 statistics, 287
3 statistics, 288
O
Open quantum systems, 195
Operators
ordering, 521
time averaged, 221
Optical lattice, 140, 358
driven
Chirikov regime, 384
Floquet eigenstates, 148
Nekhoroshev regime, 384
dynamic tunneling, 360
oscillation frequencies, 361
primary resonances, 359
rubidium , 141
time-periodic
Floquet theory, 378
time-periodic forcing , 141
tunneling oscillations, 360–362
P
Parabolic coordinates, 530
Partial delay time, 240
Particle accelerator
beam stability, 134
Path integrals, 235, 294
anisotropic Kepler system, 324
chaotic systems, 294
Green’s function, 296
Pendulum, 405
libration, 406
phase space , 406
rotation, 407
Pendulum approximation, 90
microwave driven hydrogen, 375
Peres test
D-billiard, 197
soft Sinai lattice, 198
XY spin models, 197
Perihelion, 149
Perturbation expansions
quantum
convergence, 235
Perturbation theory, 13
Photoelectric effect, 369
Photon structures, 340
Pluto, 150
Poincaré surface of section, 20, 50,
195, 197
Poisson bracket, 399, 524
Poisson distribution, 156
Poisson kernal , 283
Polar vector, 423
Porter-Thomas distribution, 187
Primary resonance , 146
Principle of least action, 301
Probability density
cluster expansion, 164
GUE, 479
cluster functions, 165
COE, 279
extremize information
unitary matrix, 276
GOE, 164
information extremization, 163
polar form, 163
GSE
information extremization, 487