### Abstract

Using the periodic orbit theory, we evaluate the form factor of a quantum graph to which a very weak magnetic field is applied. The first correction to the diagonal approximation describing the transition between the universality classes is shown to be in agreement with Pandey and Mehta's formula of parametric random matrix theory.

Original language | English |
---|---|

Pages (from-to) | 353-358 |

Number of pages | 6 |

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

Volume | 311 |

Issue number | 4-5 |

DOIs | |

Publication status | Published - 2003 May 19 |

Externally published | Yes |

### Fingerprint

### Keywords

- Periodic orbit theory
- Quantum graph
- Random matrix

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**Form factor of a quantum graph in a weak magnetic field.** / Nagao, Taro; Saitou, Keiji.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 311, no. 4-5, pp. 353-358. https://doi.org/10.1016/S0375-9601(03)00496-1

}

TY - JOUR

T1 - Form factor of a quantum graph in a weak magnetic field

AU - Nagao, Taro

AU - Saitou, Keiji

PY - 2003/5/19

Y1 - 2003/5/19

N2 - Using the periodic orbit theory, we evaluate the form factor of a quantum graph to which a very weak magnetic field is applied. The first correction to the diagonal approximation describing the transition between the universality classes is shown to be in agreement with Pandey and Mehta's formula of parametric random matrix theory.

AB - Using the periodic orbit theory, we evaluate the form factor of a quantum graph to which a very weak magnetic field is applied. The first correction to the diagonal approximation describing the transition between the universality classes is shown to be in agreement with Pandey and Mehta's formula of parametric random matrix theory.

KW - Periodic orbit theory

KW - Quantum graph

KW - Random matrix

UR - http://www.scopus.com/inward/record.url?scp=0037957023&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037957023&partnerID=8YFLogxK

U2 - 10.1016/S0375-9601(03)00496-1

DO - 10.1016/S0375-9601(03)00496-1

M3 - Article

VL - 311

SP - 353

EP - 358

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 -