Quantum chaos, complex spectral representations and time-symmetry breaking

DOI10.1016/0960-0779(94)90050-7zbMath0799.58074OpenAlexW2094877150MaRDI QIDQ1327800

Ilya Prigogine, Tomio Petrosky

Publication date: 17 November 1994

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(94)90050-7

zbMATH Keywords

potential scatteringquantum chaoscomplex spectral representationstime symmetry breaking

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Quantum chaos (81Q50) Symmetry breaking in quantum theory (81R40) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of dynamical systems (37N99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) (n)-body problems (70F10)

Related Items (13)

Lyapunov analysis for fully developed homogeneous isotropic turbulence ⋮ The extension of classical dynamics for unstable Hamiltonian systems ⋮ Quantum systems with diagonal singularity: Their logic and intrinsic irreversibility ⋮ Microscopic nonequilibrium structure in quantum fields and \(\mathcal H\)-functions ⋮ On nonlinear quantum mechanics, noncommutative phase spaces, fractal-scale calculus and vacuum energy ⋮ Bifurcations analysis of turbulent energy cascade ⋮ Friedrichs model with virtual transitions. Exact solution and indirect spectroscopy ⋮ The logic of quantum systems with diagonal singularities. ⋮ Nonequilibrium statistical mechanics Brussels-Austin style ⋮ An increasing entropy for a free quantum particle ⋮ Integral-difference collision operators: Analytical and numerical spectral analysis ⋮ Poincaré resonances and the extension of classical dynamics. ⋮ Time symmetry breaking, duality and Cantorian space-time.

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