Periodic orbit quantization beyond the semiclassical theory

G. Vattay, Per E. Rosenqvist

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

A quantum generalization of the semiclassical theory of Gutzwiller is given. The new formulation leads to systematic orbit-by-orbit inclusion of higher ℏ contributions to the spectral determinant. We apply the theory to billiard systems, and compare the periodic orbit quantization including the first ℏ contribution to the exact quantum mechanical results.

Original languageEnglish
Pages (from-to)335-339
Number of pages5
JournalPhysical Review Letters
Volume76
Issue number3
Publication statusPublished - 1996

Fingerprint

orbits
determinants
inclusions
formulations

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Periodic orbit quantization beyond the semiclassical theory. / Vattay, G.; Rosenqvist, Per E.

In: Physical Review Letters, Vol. 76, No. 3, 1996, p. 335-339.

Research output: Contribution to journalArticle

Vattay, G. ; Rosenqvist, Per E. / Periodic orbit quantization beyond the semiclassical theory. In: Physical Review Letters. 1996 ; Vol. 76, No. 3. pp. 335-339.
@article{b6dcd881e0fe4e25b22db2c3cd5b97cf,
title = "Periodic orbit quantization beyond the semiclassical theory",
abstract = "A quantum generalization of the semiclassical theory of Gutzwiller is given. The new formulation leads to systematic orbit-by-orbit inclusion of higher ℏ contributions to the spectral determinant. We apply the theory to billiard systems, and compare the periodic orbit quantization including the first ℏ contribution to the exact quantum mechanical results.",
author = "G. Vattay and Rosenqvist, {Per E.}",
year = "1996",
language = "English",
volume = "76",
pages = "335--339",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "3",

}

TY - JOUR

T1 - Periodic orbit quantization beyond the semiclassical theory

AU - Vattay, G.

AU - Rosenqvist, Per E.

PY - 1996

Y1 - 1996

N2 - A quantum generalization of the semiclassical theory of Gutzwiller is given. The new formulation leads to systematic orbit-by-orbit inclusion of higher ℏ contributions to the spectral determinant. We apply the theory to billiard systems, and compare the periodic orbit quantization including the first ℏ contribution to the exact quantum mechanical results.

AB - A quantum generalization of the semiclassical theory of Gutzwiller is given. The new formulation leads to systematic orbit-by-orbit inclusion of higher ℏ contributions to the spectral determinant. We apply the theory to billiard systems, and compare the periodic orbit quantization including the first ℏ contribution to the exact quantum mechanical results.

UR - http://www.scopus.com/inward/record.url?scp=0001608032&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001608032&partnerID=8YFLogxK

M3 - Article

VL - 76

SP - 335

EP - 339

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 3

ER -