### 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 |

Externally published | Yes |

### Fingerprint

### Keywords

- Periodic orbit theory
- Quantum chaos
- Random matrices

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**Spectral form factor for chaotic dynamics in a weak magnetic field.** / Saitou, Keiji; Nagao, Taro.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 352, no. 4-5, pp. 380-385. https://doi.org/10.1016/j.physleta.2005.12.027

}

TY - JOUR

T1 - Spectral form factor for chaotic dynamics in a weak magnetic field

AU - Saitou, Keiji

AU - Nagao, Taro

PY - 2006/4/3

Y1 - 2006/4/3

N2 - 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.

AB - 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.

KW - Periodic orbit theory

KW - Quantum chaos

KW - Random matrices

UR - http://www.scopus.com/inward/record.url?scp=33644982811&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33644982811&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2005.12.027

DO - 10.1016/j.physleta.2005.12.027

M3 - Article

AN - SCOPUS:33644982811

VL - 352

SP - 380

EP - 385

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 4-5

ER -