### Abstract

We derive semiclassical periodic orbit expansions for a correlation function of the Wigner time delay. We consider the Fourier transform of the two-point correlation function, the form factor K(Ï„, x, y, M), that depends on the number of open channels M, a non-symmetry breaking parameter x and a symmetry breaking parameter y. Several terms in the Taylor expansion about Ï„ = 0, which depend on all parameters, are shown to be identical to those obtained from random matrix theory.

Translated title of the contribution | Semiclassical expansion of parametric correlation functions of the quantum time delay |
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Original language | English |

Pages (from-to) | 919 - 926 |

Number of pages | 18 |

Journal | Nonlinearity |

Volume | 20 (4) |

DOIs | |

Publication status | Published - Apr 2007 |

### Bibliographical note

Publisher: IOP Publishing Ltd## Fingerprint Dive into the research topics of 'Semiclassical expansion of parametric correlation functions of the quantum time delay'. Together they form a unique fingerprint.

## Cite this

Kuipers, JA., & Sieber, MMA. (2007). Semiclassical expansion of parametric correlation functions of the quantum time delay.

*Nonlinearity*,*20 (4)*, 919 - 926. https://doi.org/10.1088/0951-7715/20/4/006