Semiclassical Theory for Parametric Correlation of Energy Levels
arXiv:nlin/0607070 · doi:10.1088/1751-8113/40/1/003
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 the magnetic field difference. The small-time expansion of the spectral form factor is shown to be in agreement with the prediction of parameter dependent random-matrix theory to all orders in .
25 pages, no figure