Compact billiards in phase space
type: Item
instance of: scholarly article
title: Compact billiards in phase space
zbMATH Open document ID: 0763.58023
DOI: 10.1016/0960-0779(92)90014-E
published in: Chaos, Solitons and Fractals
publication date: 1993-01-17T00:00:00Z
review text: The relation between classical and quantum billiards is examined in three geometries (rectangle, circle and stadium) by means of a slightly modified calculation of spectral properties, and especially of the Weyl term. The authors claim to have improved the identification of certain quantum features due to the presence of classical chaos.
Mathematics Subject Classification ID: 37A30
Mathematics Subject Classification ID: 81Q50
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 96221
zbMATH Keywords: billiards
zbMATH Keywords: quantisation
zbMATH Keywords: spectrum
author: A. M. Ozorio De Almeida
author: M. A. M. de Aguiar
reviewed by: Igor Gumowski
MaRDI profile type: Publication
cites work: Quantization of linear maps on a torus-Fresnel diffraction by a periodic grating
cites work: The quantized Baker's transformation
cites work: Q4275389
cites work: Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
cites work: Smoothed wave functions of chaotic quantum systems
full work available at URL: 0960-0779(92)90014-e
OpenAlex ID: W1505805599
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description: scientific article; zbMATH DE number 96221