Semiclassical expansion of parametric correlation functions of the quantum time delay
Abstract
We derive semiclassical periodic orbit expansions for a correlation function of the Wigner time delay. We consider the Fourier transform of the two-point correlation function, the form factor K(τ, x, y, M), that depends on the number of open channels M, a non-symmetry breaking parameter x and a symmetry breaking parameter y. Several terms in the Taylor expansion about τ = 0, which depend on all parameters, are shown to be identical to those obtained from random matrix theory.
- Publication:
-
Nonlinearity
- Pub Date:
- April 2007
- DOI:
- 10.1088/0951-7715/20/4/006
- arXiv:
- arXiv:nlin/0608059
- Bibcode:
- 2007Nonli..20..909K
- Keywords:
-
- Nonlinear Sciences - Chaotic Dynamics
- E-Print:
- 21 pages, no figures