Semiclassical theory for parametric correlation of energy levels

Taro Nagao, Petr Braun, Sebastian Müller, Keiji Saito, Stefan Heusler, Fritz Haake

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


Parametric energy-level correlation describes the response of the energylevel 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(T) is shown to be in agreement with the prediction of parameter dependent random matrix theory to all orders in T.

Original languageEnglish
Pages (from-to)47-63
Number of pages17
JournalJournal of Physics A: Mathematical and Theoretical
Issue number1
Publication statusPublished - 2007 Jan 5
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)


Dive into the research topics of 'Semiclassical theory for parametric correlation of energy levels'. Together they form a unique fingerprint.

Cite this