Berkolaiko, G.
(2003)
*Intermediate wave-function statistics.*
Physical Review Letters, 94 (13).
p. 134103.
ISSN 0031-9007

## Abstract

We calculate statistical properties of the eigenfunctions of two quantum systems that exhibit intermediate spectral statistics: star graphs and Seba billiards. First, we show that these eigenfunctions are not quantum ergodic, and calculate the corresponding limit distribution. Second, we find that they can be strongly scarred, in the case of star graphs by short (unstable) periodic orbits and, in the case of Seba billiards, by certain families of orbits. We construct sequences of states which have such a limit. Our results are illustrated by numerical computations.

Item type: | Article |
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ID code: | 2118 |

Keywords: | eigenfunctions, statistics, star graphs, orbits, mathematics, wave-function, Mathematics, Statistics, Physics and Astronomy(all) |

Subjects: | Science > Mathematics Social Sciences > Statistics |

Department: | Faculty of Science > Mathematics and Statistics > Mathematics |

Depositing user: | Strathprints Administrator |

Date Deposited: | 17 Nov 2006 |

Last modified: | 21 May 2015 08:31 |

URI: | http://strathprints.strath.ac.uk/id/eprint/2118 |

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