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Titolo:
Amplitude ordering of the trace formula for the two-particle disk billiard- art. no. 044102
Autore:
Sakhr, J;
Indirizzi:
McMaster Univ, Dept Phys & Astron, Hamilton, ON L8S 4M1, Canada McMaster Univ Hamilton ON Canada L8S 4M1 on, Hamilton, ON L8S 4M1, Canada
Titolo Testata:
PHYSICAL REVIEW A
fascicolo: 4, volume: 6404, anno: 2001,
pagine: 4102 -
SICI:
1050-2947(200110)6404:4<4102:AOOTTF>2.0.ZU;2-R
Fonte:
ISI
Lingua:
ENG
Soggetto:
PERIODIC-ORBIT QUANTIZATION; BOUND CHAOTIC SYSTEMS; CYCLE EXPANSIONS; RESUMMATION; DIFFUSION;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
--discip_EC--
Citazioni:
16
Recensione:
Indirizzi per estratti:
Indirizzo: Sakhr, J McMaster Univ, Dept Phys & Astron, Hamilton, ON L8S 4M1, Canada McMaster Univ Hamilton ON Canada L8S 4M1 ton, ON L8S 4M1, Canada
Citazione:
J. Sakhr, "Amplitude ordering of the trace formula for the two-particle disk billiard- art. no. 044102", PHYS REV A, 6404(4), 2001, pp. 4102

Abstract

For the periodic orbit quantization of a system of particles confined in atwo-dimensional disk billiard. the proliferation of multiparticle periodicorbits with length precludes standard length truncation of the trace formula and alternative truncation schemes are necessary. An amplitude ordering of the single-particle periodic orbits reveals a quantum-classical correspondence for the angular momentum of a particle in the disk which is useful for the quantization of all the low energy states of the multiparticle problem. We explicitly show that a simple amplitude truncation of the trace formula better approximates the semiclassical density of states and in particular resolves closely spaced levels that are otherwise unresolved using the standard approach.

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Documento generato il 04/07/20 alle ore 13:53:30