Spectral statistics of a pseudo-integrable map: the general case

E. Bogomolny; Remy Dubertrand; C. Schmit

doi:10.1088/0951-7715/22/9/003

Spectral statistics of a pseudo-integrable map: the general case

E. Bogomolny, Remy Dubertrand, C. Schmit

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Abstract

It is well established numerically that spectral statistics of pseudo-integrable models differs considerably from the reference statistics of integrable and chaotic systems. In Bogomolny and Schmit (2004 Phys. Rev. Lett. 93 254102) statistical properties of a certain quantized pseudo-integrable map had been calculated analytically but only for a special sequence of matrix dimensions. The purpose of this paper is to obtain the spectral statistics of the same quantum map for all matrix dimensions.

Original language	English
Pages (from-to)	2101-2126
Journal	Nonlinearity
Volume	22
Issue number	9
Early online date	21 Jul 2009
DOIs	https://doi.org/10.1088/0951-7715/22/9/003
Publication status	Published - 1 Sept 2009
Externally published	Yes

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0903.2231Accepted author manuscript, 409 KB

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AB - It is well established numerically that spectral statistics of pseudo-integrable models differs considerably from the reference statistics of integrable and chaotic systems. In Bogomolny and Schmit (2004 Phys. Rev. Lett. 93 254102) statistical properties of a certain quantized pseudo-integrable map had been calculated analytically but only for a special sequence of matrix dimensions. The purpose of this paper is to obtain the spectral statistics of the same quantum map for all matrix dimensions.

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Spectral statistics of a pseudo-integrable map: the general case

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