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|
|Pages (from-to)||47 - 63|
|Number of pages||17|
|Journal||Journal of Physics A: Mathematical and Theoretical|
|Publication status||Published - Jan 2007|