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 |
|---|---|
| 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 |