The problem of quantum chaotic scattering with direct processes reduced to the one without

Details The problem of quantum chaotic scattering with direct processes reduced to the one without The problem of quantum chaotic scattering with direct processes reduced to the one without

1997-07-20

arxiv.org/abs/chao-dyn/9707018v2

Physics

Condensed Matter

9 pages (Latex) and 1 EPS figure. Submitted to Europhysics Letters. The conjecture proposed in the previous version is proved;

Scientific paper

10.1209/epl/i1998-00218-2

We show that the study of the statistical properties of the scattering matrix S for quantum chaotic scattering in the presence of direct processes (charaterized by a nonzero average S matrix ) can be reduced to the simpler case where direct processes are absent ( = 0). 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 = 0, to the case not equal to zero; this extension is verified numerically. As a consequence of our result, future calculations can be restricted to the simpler case of no direct processes.