Abstract
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 language | English |
|---|---|
| Pages (from-to) | 47-63 |
| Number of pages | 17 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 40 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2007 Jan 5 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Modelling and Simulation
- Mathematical Physics
- Physics and Astronomy(all)
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Nagao, T., Braun, P., Müller, S., Saito, K., Heusler, S., & Haake, F. (2007). Semiclassical theory for parametric correlation of energy levels. Journal of Physics A: Mathematical and Theoretical, 40(1), 47-63. https://doi.org/10.1088/1751-8113/40/1/003