Solutions to the Classical Liouville Equation

Jose A. Magpantay, Cilicia Uzziel M. Perez · arXiv (Cornell University) · 2013

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Type: preprint
Published: 2013-11-19
Cited by: 0
References: 21
Access: Open access
DOI: https://doi.org/10.48550/arxiv.1311.4594
arXiv: https://arxiv.org/abs/1311.4594
OpenAlex: https://openalex.org/W3061712
Semantic Scholar: https://api.semanticscholar.org/CorpusID:115370088

Keywords

Integrable system, Mathematical physics, Phase space, Physics, Ergodic theory

References

Quantum quench in the transverse field Ising chain: I. Time evolution of order parameter correlatorsPasquale Calabrese, Fabian H. L. Eßler, Maurizio Fagotti — 2011
Completely integrable Hamiltonian systems connected with semisimple Lie algebrasM. A. Olshanetsky, A. M. Perelomov — 1976
A modern course in statistical physicsL. E. Reichl, S. N. Coppersmith — 1980
On the Quantum Correction for Thermodynamic EquilibriumJoseph Mayer, William Band — 1947
Approximate solution of the classical Liouville equation using Gaussian phase packet dynamics: Application to enhanced equilibrium averaging and global optimizationJianpeng Ma, David Hsu, John E. Straub — 1993
Information Theory and Statistical MechanicsE. T. Jaynes — 1957
Multidimensional classical Liouville dynamics with quantum initial conditionsIllia Horenko, Burkhard Schmidt, Christof Schütte — 2002
Generalized thermalization in an integrable lattice system.Amy Cassidy, Charles W. Clark, Marcos Rigol — 2010
Generic Hamiltonian dynamical systems are neither integrable nor ergodicLawrence Markus, Kenneth R. Meyer — 1974
Lectures on quantum mechanicsM. Baker — 2014
Ergodic properties and equilibrium of one-dimensional self-gravitating systemsKenneth R. Yawn, Bruce N. Miller — 1997
Explaining Thermodynamic-Like Behavior in Terms of Epsilon-Ergodicity*Roman Frigg, Charlotte Werndl — 2011
Quantizing a classically ergodic system: Sinai's billiard and the KKR methodMichael Berry — 1981
Mathematical Methods of Classical MechanicsV. I. Arnold — 1974
Integrability and chaos: the classical uncertaintyJaume Masoliver, Ana Ros — 2010
Quantum mechanics as a statistical theoryJ. E. Moyal — 1949
Statistical MechanicsDresden, Max — 2021

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