Numerical validities of the Berry-Robnik's surmise for quantum oval billiard

Hironori Makino; Takahisa Harayama; Yoji Aizawa

doi:10.1143/PTPS.139.477

Numerical validities of the Berry-Robnik's surmise for quantum oval billiard

Hironori Makino^*, Takahisa Harayama, Yoji Aizawa

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We studied the energy level statistics for one parameter family of quantum oval billiards. The classical phase space of this system consists of a mixture of both regular and irregular regions. We analyzed localization phenomenon of the wavefunction on the phase space structures and verified numerically the validity of the Berry-Robnik formula which is based on the Berry-Robnik's surmise.

Original language	English
Pages (from-to)	477-488
Number of pages	12
Journal	Progress of Theoretical Physics Supplement
Issue number	139
DOIs	https://doi.org/10.1143/PTPS.139.477
Publication status	Published - 2000
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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title = "Numerical validities of the Berry-Robnik's surmise for quantum oval billiard",

abstract = "We studied the energy level statistics for one parameter family of quantum oval billiards. The classical phase space of this system consists of a mixture of both regular and irregular regions. We analyzed localization phenomenon of the wavefunction on the phase space structures and verified numerically the validity of the Berry-Robnik formula which is based on the Berry-Robnik's surmise.",

author = "Hironori Makino and Takahisa Harayama and Yoji Aizawa",

year = "2000",

doi = "10.1143/PTPS.139.477",

language = "English",

pages = "477--488",

journal = "Progress of Theoretical Physics",

issn = "0033-068X",

publisher = "Yukawa Institute for Theoretical Physics",

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AU - Makino, Hironori

AU - Harayama, Takahisa

AU - Aizawa, Yoji

PY - 2000

Y1 - 2000

N2 - We studied the energy level statistics for one parameter family of quantum oval billiards. The classical phase space of this system consists of a mixture of both regular and irregular regions. We analyzed localization phenomenon of the wavefunction on the phase space structures and verified numerically the validity of the Berry-Robnik formula which is based on the Berry-Robnik's surmise.

AB - We studied the energy level statistics for one parameter family of quantum oval billiards. The classical phase space of this system consists of a mixture of both regular and irregular regions. We analyzed localization phenomenon of the wavefunction on the phase space structures and verified numerically the validity of the Berry-Robnik formula which is based on the Berry-Robnik's surmise.

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U2 - 10.1143/PTPS.139.477

DO - 10.1143/PTPS.139.477

M3 - Article

AN - SCOPUS:0034373748

SN - 0033-068X

SP - 477

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JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

IS - 139

ER -

Numerical validities of the Berry-Robnik's surmise for quantum oval billiard

Abstract

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