Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Russian Physics Journal

Classical limit of quantum mechanics and the quantum billiards problem

O. G. Mishnev

Published May 1, 1982• 0 citations
Publisher
DOI
10.1007/bf00891775

Related papers

Bohmian Mechanics, the Quantum-Classical Correspondence and the Classical Limit: The Case of the Square Billiard

A. Matzkin

arXiv:0806.3240•Foundations of Physics•Apr 6, 2009•19 citations

Classical system underlying a diffracting quantum billiard

Manan Jain

Pramana•Jan 5, 2018•1 citation

Optical billiards break new ground in quantum chaos

Sri Sridhar

Physicists are fond of billiards, both in the lab and in the pool hall. From a physics viewpoint, billiards is a game played within a hard-wall enclosure in which particles can bounce elastically. Billiards is also the embodiment of model problems in classical and quantum mechanics.

Physics World•May 1, 2001•1 citation

Classical Limit of Quantum Mechanics

Dipankar Home

Springer eBooks•Jan 1, 1997•0 citations

Nodal portraits of quantum billiards: Domains, lines, and statistics

Sudhir R. Jain, Rhine Samajdar

The 200-year old studies by Chladni, of the sand figures of vibrating plates, live on today in the investigation of the wave mechanics of nonintegrable systems. This review gives an in-depth survey of the contemporary mathematical analysis of the wave-function statistics of the billiard problem, uncovering the manifestations of classical chaos in the wave-mechanical world. The extensive experiments of recent years are surveyed. The illustrations show the continuing Chladnian splendor of the current-day subject.

arXiv:1709.03650•Reviews of Modern Physics•Dec 26, 2017•46 citations

On the classical limit of quantum mechanics

Jorge Bernal, A. Martín-Ruiz, J. C. García-Melgarejo

•Jan 6, 2011•0 citations
The 200-year old studies by Chladni, of the sand figures of vibrating plates, live on today in the investigation of the wave mechanics of nonintegrable systems. This review gives an in-depth survey of the contemporary mathematical analysis of the wave-function statistics of the billiard problem, uncovering the manifestations of classical chaos in the wave-mechanical world. The extensive experiments of recent years are surveyed. The illustrations show the continuing Chladnian splendor of the current-day subject.