The problem of quantum chaotic scattering with direct processes reduced to the one without
Instituto de Física, Universidad Nacional
Autónoma de México, 01000 México D.F., México
2 Département de Physique Théorique, Université de Genève, CH-1211 Genève 4, Switzerland
Accepted: 4 March 1998
We show that the study of the statistical properties of the scattering matrix S for quantum chaotic scattering in the presence of direct processes (characterized by , being the average S-matrix) can be reduced to the simpler case where direct processes are absent (). Our result is verified with a numerical simulation of the two-energy autocorrelation for two-dimensional S-matrices. It is also used to extend Wigner's time delay distribution for one-dimensional S-matrices, recently found for , to the case ; this extension is verified numerically. As a consequence of our result, future calculations can be restricted to the simpler case of no direct processes.
PACS: 05.45.+b – Theory and models of chaotic systems / 73.23.-b – Mesoscopic systems / 73.23.Ps – Other electronic properties of mesoscopic systems
© EDP Sciences, 1998