Chaos in Classical and Quantum Mechanics

Keywords

Quantum chaos, CHAOS (operating system), Classical physics, Classical mechanics, Simple (philosophy)

References

• On Selberg's trace formulaRamesh Gangolli, Garth Warner — 1975
• Level clustering in the regular spectrumMichael Berry, M. Tabor — 1977

Cited by

• Isotropic Tori, Complex Germ and Maslov Index, Normal Forms and Quasimodes of Multidimensional Spectral ProblemsВ. В. Белов, O. S. Dobrokhotov, S. Yu. Dobrokhotov — 2001
• Time-dependent Systems and Chaos in String TheoryArchisman Ghosh — 2012
• [Decision analysis in radiology].Bertrand Janne d’Othée, W.C. Black, Sébastien Pirard — 2001
• Spreading in integrable and non-integrable many-body systemsJohannes Freese, Boris Gutkin, Thomas Guhr — 2014
• Semiclassical Adiabatic Model for Nonergodic Bouncing-Ball States of the Stadium BilliardKrzysztof Stefański — 2000
• Chaos in Semiconductor MicrostructuresHenrik Bruus — 1997
• Quantum State Engineering and Information Processing with Trapped IonsBrian King — 1999
• Manifestation of quantum resonant effects in the atom-optical delta-kicked acceleratorM. Saunders — 2009
• “Momentum” Tunneling between Tori and the Splitting of Eigenvalues of the Laplace–Beltrami Operator on Liouville SurfacesS. Yu. Dobrokhotov, А. И. Шафаревич — 1999
• Discrete Chaos − Part I: TheoryLjupčo Kocarev, Janusz Szczepański, J. M. Amigó — 2006
• Explicit Formulas for Generalized Action–Angle Variables in a Neighborhood of an Isotropic Torus and Their ApplicationВ. В. Белов, S. Yu. Dobrokhotov, Владимир Анатольевич Максимов — 2003
• Complexity of perturbation functions for E2 + M1 hyperfine interactionsPavel Cejnar, I. Procházka — 1998
• Quasi-Chaotic Property of the Prime-Number SequenceRichard L. Liboff, Michael Wong — 1998
• Quantum nonlinear spin switching modelD. A. Garanin, R. Schilling — 2003
• Quantum-classical correspondence in two simple systemsBradley Clarke Hughes — 1995
• Semiclassical Spectral Series of a Helium-like Atom in a Magnetic FieldВ. В. Белов, Владимир Анатольевич Максимов — 2001
• NON SATURATION OF ENERGY IN A QUANTUM KICKED OSCILLATORMark V. Daly, D.M. Hefernan — 1996
• Statistical Properties of Transition Amplitudes in Generic SystemsTomaž Prosen — 1997
• Gluing Torus Families across a Singularity: The Lens Space for the Hydrogen Atom in Crossed FieldsThomas Bartsch, Stephan Gekle, Jörg Main — 2007
• Correlated trajectories in semiclassical approaches to quantum chaosJack Kuipers — 2008

Related papers

• Introduction to classical chaos and quantum chaos.Fréderic Faure — 2014
• The information geometry of chaos : toward a unyfying characterization of classical and quantum chaosCarlo Cafaro — 2008
• Positive quantum Lyapunov exponents in experimental systems with a regular classical limit.Saúl Pilatowsky-Cameo, Jorge Chávez-Carlos, M. A. Bastarrachea-Magnani — 2019
• Classical and quantum chaos in a circular billiard with a straight cut.Suhan Ree, L. E. Reichl — 1998
• Quantum bouncer with chaos.S.T. Dembiński, Adam J. Makowski, P. Pepłowski — 1993
• Probing quantum chaos with the entropy of decoherent historiesEvgeny Polyakov, Nataliya Arefyeva — 2023
• Quantum dynamics of matter waves in a pulsed disordered latticeBryce Gadway, Jeremy Reeves, Ludwig Krinner — 2012