Semiclassical theory for parametric correlation of energy levels

T Nagao, P Braun, S Muller, K Saito, S Heusler, F Haake

Research output: Contribution to journalArticle (Academic Journal)peer-review

14 Citations (Scopus)


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 contributionSemiclassical theory for parametric correlation of energy levels
Original languageEnglish
Pages (from-to)47 - 63
Number of pages17
JournalJournal of Physics A: Mathematical and Theoretical
Volume40 (1)
Publication statusPublished - Jan 2007

Bibliographical note

Publisher: IOP Publishing Ltd


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