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

Bogomolny, E; Dubertrand, Rémy; Schmit, C.

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

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

Bogomolny, E; Dubertrand, Rémy; Schmit, C.

2009 • In Nonlinearity

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https://hdl.handle.net/2268/178316

DOI
10.1088/0951-7715/22/9/003

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Keywords :

Maps of the circle; Self adjoint operator theory in quantum theory; Quantum chaos

Abstract :

[en] 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.

Disciplines :

Mathematics

Author, co-author :

Bogomolny, E

Dubertrand, Rémy ; Université de Liège - ULiège > Département de physique > Optique quantique

Schmit, C.

Language :

English

Title :

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

Publication date :

July 2009

Journal title :

Nonlinearity

ISSN :

0951-7715

Publisher :

Institute of Physics

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 13 February 2015

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