Quantum chaos in the hyperbola billiard

M. Sieber; F. Steiner

doi:10.1016/0375-9601(90)90492-7

Quantum chaos in the hyperbola billiard

M. Sieber^*, F. Steiner

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

39 Citations (Scopus)

Abstract

A few hundred energy levels of the hyperbola billiard, a strongly chaotic system, are computed using a boundary-element method. The level statistics is investigated and found to be consistent with the predictions of random-matrix theory for the Gaussian orthogonal ensemble. The energy spectrum is used for an application of Gutzwiller's periodic orbit theory, which nicely demonstrates that the quantal energies "know" the classical periodic orbits.

Original language	English
Pages (from-to)	415-420
Number of pages	6
Journal	Physics Letters A
Volume	148
Issue number	8-9
DOIs	https://doi.org/10.1016/0375-9601(90)90492-7
Publication status	Published - 3 Sept 1990

Bibliographical note

Funding Information:
Supported by Deutsche Forschungsgemeinschaft under Con-tract No. DFG-Ste 241/4-2. On sabbatical leave from II. Instttut fiir Theoretische Physik, Umversittit Hambur8.

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abstract = "A few hundred energy levels of the hyperbola billiard, a strongly chaotic system, are computed using a boundary-element method. The level statistics is investigated and found to be consistent with the predictions of random-matrix theory for the Gaussian orthogonal ensemble. The energy spectrum is used for an application of Gutzwiller's periodic orbit theory, which nicely demonstrates that the quantal energies {"}know{"} the classical periodic orbits.",

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AU - Steiner, F.

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PY - 1990/9/3

Y1 - 1990/9/3

N2 - A few hundred energy levels of the hyperbola billiard, a strongly chaotic system, are computed using a boundary-element method. The level statistics is investigated and found to be consistent with the predictions of random-matrix theory for the Gaussian orthogonal ensemble. The energy spectrum is used for an application of Gutzwiller's periodic orbit theory, which nicely demonstrates that the quantal energies "know" the classical periodic orbits.

AB - A few hundred energy levels of the hyperbola billiard, a strongly chaotic system, are computed using a boundary-element method. The level statistics is investigated and found to be consistent with the predictions of random-matrix theory for the Gaussian orthogonal ensemble. The energy spectrum is used for an application of Gutzwiller's periodic orbit theory, which nicely demonstrates that the quantal energies "know" the classical periodic orbits.

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DO - 10.1016/0375-9601(90)90492-7

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VL - 148

SP - 415

EP - 420

JO - Physics Letters A

JF - Physics Letters A

IS - 8-9

ER -

Quantum chaos in the hyperbola billiard

Abstract

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