### Abstract

Using semiclassical periodic orbit theory for a chaotic system in a weak magnetic field, we obtain the form factor predicted by Pandey and Mehta's two matrix model up to the third order. The third order contribution has a peculiar term which exists only in the intermediate crossover domain between the GOE (Gaussian orthogonal ensemble) and the GUE (Gaussian unitary ensemble) universality classes. The exact expression is obtained by taking account of the contribution from encounter regions where orbit loops are connected.

Original language | English |
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Pages (from-to) | 380-385 |

Number of pages | 6 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 352 |

Issue number | 4-5 |

DOIs | |

Publication status | Published - 2006 Apr 3 |

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### Keywords

- Periodic orbit theory
- Quantum chaos
- Random matrices

### ASJC Scopus subject areas

- Physics and Astronomy(all)