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

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

2009-03-12

arxiv.org/abs/0903.2231v1

Nonlinearity vol.22, p.2101 (2009)

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

It is well established numerically that spectral statistics of pseudo-integrable models differs considerably from the reference statistics of integrable and chaotic systems. In [PRL,93 (2004) 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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