## Abstract

Parametric energy-level correlation describes the response of the energy-level statistics to an external parameter such as the magnetic field. Using semiclassical periodic-orbit theory for a chaotic system, we evaluate the parametric energy-level correlation depending on themagnetic field difference. The small-time expansion of the spectral form factor K(tau) is shown to be in agreement with the prediction of parameter dependent random matrix theory to all orders in tau.

Translated title of the contribution | Semiclassical theory for parametric correlation of energy levels |
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Original language | English |

Pages (from-to) | 47 - 63 |

Number of pages | 17 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 40 (1) |

DOIs | |

Publication status | Published - Jan 2007 |