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The Physics of Phase Space Nonlinear Dynamics and Chaos Geometric Quantization, and Wigner Function

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Cover of 'The Physics of Phase Space Nonlinear Dynamics and Chaos Geometric Quantization, and Wigner Function'

Table of Contents

  1. Altmetric Badge
    Book Overview
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    Chapter 304 Entropy and volume as measures of orbit complexity
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    Chapter 305 A chaotic 1-D gas: Some implications
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    Chapter 306 Singular approximation of chaotic slow-fast dynamical systems
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    Chapter 307 Dimension calculations in a minimal embedding space: Low-dimensional attractors for human electroencephalograms
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    Chapter 308 Chaotic space-times
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    Chapter 309 On relaxation chaos : An example from celestial mechanics
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    Chapter 310 Computation of invariant tori and acceleration of the K.A.M. algorithm
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    Chapter 311 Fractal basin boundaries
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    Chapter 312 Quasi-periodic Schrödinger equations and strange nonchaotic attractors of pendula and Josephson junctions
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    Chapter 313 Long-time correlation in classical Hamiltonian systems with two degrees of freedom
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    Chapter 314 Dimension density — an intensive measure of chaos, in spatially extended turbulent systems
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    Chapter 315 Properties of the maximal attractor for the Landau-Lifschitz equations
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    Chapter 316 A comparison of the fractal dimensions of cloud radiance graphs for two infrared color bands
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    Chapter 317 The genealogy of periodic trajectories
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    Chapter 318 Perturbation theory and the single sextupole
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    Chapter 319 Stochastic instability in a system with two degrees of freedom
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    Chapter 320 Nonlinear stability in anisotropic magnetohydrodynamics
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    Chapter 321 On resonant Hamiltonians with n frequencies
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    Chapter 322 Singular perturbation and almost periodic solutions of nonlinear dynamic systems
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    Chapter 323 Diffusion in a turbulent phase space
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    Chapter 324 Increase in phase space accessible to particles when their attractive interactions are short-ranged
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    Chapter 325 Experimental measurements of phase space
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    Chapter 326 Simulation of arbitrary ensembles by extended dynamics: A unified scheme
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    Chapter 327 Self-organized structures in the forced Burgers' turbulence
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    Chapter 328 Critical points, critical exponents, and stability-instability transitions in Hamiltonian systems
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    Chapter 329 Maximum likelihood method for evaluating correlation dimension
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    Chapter 330 Microwave ionization of highly excited hydrogen atoms: Experiment and theory
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    Chapter 331 Highly excited hydrogen in microwaves: Measurements on the externally driven bound electron at the classical threshold for chaos
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    Chapter 332 Transition strength fluctuations and the onset of chaos
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    Chapter 333 Application of phase space to quantum statics and classical adiabatics
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    Chapter 334 Evolution and exact eigenstates of a resonance quantum system
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    Chapter 335 Quantum KAM theorem
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    Chapter 336 Atoms in strong fields: Candidates for laboratory studies of quantum chaos
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    Chapter 337 Quantum analysis of states near a separatrix
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    Chapter 338 Adiabatic invariants, resonances, and multidimensional semiclassical quantization
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    Chapter 339 Intrinsic nonadiabaticities on the Farey tree
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    Chapter 340 Chaotic ionization of highly excited hydrogen atoms
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    Chapter 341 The role of KAM-tori for the dynamics of nonlinear quantum systems
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    Chapter 342 Quantum chaos, is there any?
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    Chapter 343 The general properties of the distribution function and remarks on its weakness
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    Chapter 344 Wigner distribution function approach to the calculation of quantum effects in condensed matter physics
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    Chapter 345 Signal processing using bilinear and nonlinear time-frequency-joint-representations
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    Chapter 346 Interference in phase space
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    Chapter 347 A quantum mechanical moment problem
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    Chapter 348 Tomographic procedure for constructing phase space representations
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    Chapter 349 Wigner distribution on SU(2)
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    Chapter 350 Phase space calculations of composite particle production
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    Chapter 351 The geometry of Wigner's function
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    Chapter 352 Distribution functions in elementary particle physics
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    Chapter 353 Single and multiparticle Wigner distributions in inhomogeneous Fermi systems
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    Chapter 354 Squeezed states and their Wigner functions
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    Chapter 355 Application of the Wigner function in the theory of atomic and molecular electronic structure
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    Chapter 356 Wigner phase-space approach in the molecular collision theory - search for Wigner trajectories
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    Chapter 357 Optical Eigenmodes and the Wigner distribution
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    Chapter 358 Time frequency representation of broad band signals
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    Chapter 359 Quasi-probability distributions for arbitrary operators
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    Chapter 360 Operator relations, the eigenvalue problem, and representability for quantum phase space distributions
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    Chapter 361 Quantum phase space dynamics of hard rod systems
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    Chapter 362 An introduction to Tomita representations in physics
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    Chapter 363 A semiclassical scheme for the description of the static properties of nuclei at finite temperatures
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    Chapter 364 Wigner-Kirkwood expansion and many body quantum corrections calculations
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    Chapter 365 A general approximation scheme for quantum many-body dynamics
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    Chapter 366 Coherent states and the global, uniform approximation of wave equation solutions
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    Chapter 367 Quantum wave-functions from classical phase-space manifolds: An introduction to Maslov's semiclassical theory
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    Chapter 368 Semiclassical analysis of coupled channel system with non-local interaction
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    Chapter 369 A functional density matrix for quantum electrodynamics and its classical limit
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    Chapter 370 Structural connections between the WKB and Wigner-Kirkwood semiclassical approximations
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    Chapter 371 Simple connected graph expansions of propagators
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    Chapter 372 Theorem on the Schwinger representations of Lie groups and its application to the coherent states and the vibron model
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    Chapter 373 Multiple-path expansion in quantum mechanics and quantum field theory
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    Chapter 374 Strange semiclassical phenomena for the equation ∇2∂ t 2φ+ A(∂ x 2+∂ y 2)φ+B ∂ z 2<=0, describing waves in stratified fluids
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    Chapter 375 Quantization,topology,and ordering
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    Chapter 376 The differential geometry of phase space and quantisation
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    Chapter 377 The structure of phase space and quantum mechanics
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    Chapter 378 Phase space formulation of general relativity without a 3+1 splitting
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    Chapter 379 Diffeomorphism groups, coadjoint orbits, and the quantization of classical fluids
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    Chapter 380 Quantized vortex filaments in incompressible fluids
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    Chapter 381 Symplectic geometry of the relativistic canonical commutation relations
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    Chapter 382 Three physical quantum manifolds from the conformal group
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    Chapter 383 Reduction of degenerate lagrangians and the symplectic reduction theorem
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    Chapter 384 Formal quantization of quadratic momentum observables
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    Chapter 385 The use of ghost variables in the description of constrained systems
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    Chapter 386 Geometric quantization of particles in quark model
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    Chapter 387 Cohomology and locally-Hamiltonian dynamical systems
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    Chapter 388 The third quantization of phase space and bilocal lattice fields
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    Chapter 389 Pauli-forbidden region in the phase space of the inter-nucleus relative motion
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    Chapter 390 Quantum corrections to time-dependent mean-field method
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    Chapter 391 The remarkable phase space of the radiating electron
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    Chapter 392 The quantization of symmetric spaces and its applications
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    Chapter 393 A closed form for the intrinsic symbol of the resolvent parametrix of an elliptic operator
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    Chapter 394 Quantum mechanics in coherent algebras on phase space
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    Chapter 395 Maximal-acceleration invariant phase space
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    Chapter 396 Octonionic hadronic supersymmetry and linearly rising Regge trajectories
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    Chapter 397 Rotations and gauge transformations
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    Chapter 398 Heisenberg algebras in the theory of special functions
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    Chapter 399 Experimental and philosophical foundations of the formalism of stochastic quantum mechanics
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    Chapter 400 Explicit multidimensional solitary wave solutions to nonlinear evolution equations
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    Chapter 401 Entropy, frequency mixing, and particle creation
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    Chapter 402 The entropy of Hawking radiation
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    Chapter 403 Thermodynamical reduction of the anisotropy of time by introducing irreversibility on microscopical scale
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    Chapter 404 Steepest entropy ascent in Quantum Thermodynamics
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    Chapter 405 Sums Over Paths Adapted to Quantum Theory in Phase Space
Overall attention for this book and its chapters
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Title
The Physics of Phase Space Nonlinear Dynamics and Chaos Geometric Quantization, and Wigner Function
Published by
ADS, January 1987
DOI 10.1007/3-540-17894-5
ISBNs
978-3-54-017894-1, 978-3-54-047901-7
Editors

Y. S. Kim, W. W. Zachary

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