Nonlinear Dynamics and Quantum Chaos

DOI10.1007/978-3-319-06343-0zbMath1365.37001OpenAlexW2492540116MaRDI QIDQ5416750

Sandro Wimberger

Publication date: 14 May 2014

Published in: Graduate Texts in Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-06343-0

zbMATH Keywords

nonlinear dynamicsrandom matrix theoryquantum chaossemiclassical methodsquantum spectra

Mathematics Subject Classification ID

Quantum chaos (81Q50) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

Related Items (9)

Quantum kicked rotor and its variants: chaos, localization and beyond ⋮ Exact numerical methods for a many-body Wannier-Stark system ⋮ Applications of fidelity measures to complex quantum systems ⋮ Integrals of motion in 3D Bohmian trajectories ⋮ Dynamics and bifurcations on the normally hyperbolic invariant manifold of a periodically driven system with rank-1 saddle ⋮ Poisson to GOE transition in the distribution of the ratio of consecutive level spacings ⋮ Out-of-time-order operators and the butterfly effect ⋮ Chaotic Bohmian trajectories for stationary states ⋮ Chaotic switching in driven-dissipative Bose-Hubbard dimers: when a flip bifurcation meets a T-point in \(\mathbb{R}^4 \)

This page was built for publication: Nonlinear Dynamics and Quantum Chaos