Quantum and classical properties of some billiards on the hyperbolic plane
Schmit, C
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MATHEMATICAL MANIFOLDS; DIFFERENTIAL GEOMETRY; DYNAMICS; ERGODIC HYPOTHESIS; QUANTUM MECHANICS; TWO-DIMENSIONAL CALCULATIONS; 661100; CLASSICAL AND QUANTUM MECHANICS
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.
Paris-11 Univ., 91 - Orsay (France). Inst. de Physique Nucleaire
OSTI; NTIS (US Sales Only); INIS
France
1992-12-31
English
Technical Report
Other Information: PBD: 1991
Medium: X; Size: 36 p.
ON: DE94609567
IPNO-TH-91-35
Other: ON: DE94609567; TRN: FR9303086003894
FRN; SCA: 661100; PA: AIX-25:003894; EDB-94:015529; ERA-19:005487; NTS-94:014764; SN: 93001120970
2008-02-12
10109772