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Semiclassical theory for parametric correlation of energy levels

Journal of Physics A: Mathematical and Theoretical, ISSN: 1751-8113, Vol: 40, Issue: 1, Page: 47-63
2007
  • 16
    Citations
  • 0
    Usage
  • 5
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    16
    • Citation Indexes
      16
  • Captures
    5

Article Description

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. © 2010 IOP Publishing Ltd.

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