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Quantum and classical properties of some billiards on the hyperbolic plane

Technical Report:

Abstract

Some `experimental` results are given on the quantal spectrum of some billiards on two-dimensional manifolds of constant negative curvature. It is shown that the use of the Selberg trace formula may bring some interesting new results on the properties of the classical motion. Some new (and quite unexpected) results are presented about the quantal spectrum of the octagon on the hyperbolic plane. (K.A.) 8 refs.; 17 figs.; 2 tabs.
Authors:
Publication Date:
Dec 31, 1991
Product Type:
Technical Report
Report Number:
IPNO-TH-91-35
Reference Number:
SCA: 661100; PA: AIX-25:003894; EDB-94:015529; ERA-19:005487; NTS-94:014764; SN: 93001120970
Resource Relation:
Other Information: PBD: 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MATHEMATICAL MANIFOLDS; DIFFERENTIAL GEOMETRY; DYNAMICS; ERGODIC HYPOTHESIS; QUANTUM MECHANICS; TWO-DIMENSIONAL CALCULATIONS; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10109772
Research Organizations:
Paris-11 Univ., 91 - Orsay (France). Inst. de Physique Nucleaire
Country of Origin:
France
Language:
English
Other Identifying Numbers:
Other: ON: DE94609567; TRN: FR9303086003894
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
FRN
Size:
36 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Schmit, C. Quantum and classical properties of some billiards on the hyperbolic plane. France: N. p., 1991. Web.
Schmit, C. Quantum and classical properties of some billiards on the hyperbolic plane. France.
Schmit, C. 1991. "Quantum and classical properties of some billiards on the hyperbolic plane." France.
@misc{etde_10109772,
title = {Quantum and classical properties of some billiards on the hyperbolic plane}
author = {Schmit, C}
abstractNote = {Some `experimental` results are given on the quantal spectrum of some billiards on two-dimensional manifolds of constant negative curvature. It is shown that the use of the Selberg trace formula may bring some interesting new results on the properties of the classical motion. Some new (and quite unexpected) results are presented about the quantal spectrum of the octagon on the hyperbolic plane. (K.A.) 8 refs.; 17 figs.; 2 tabs.}
place = {France}
year = {1991}
month = {Dec}
}