1997/07/31 by Victor A. Gopar, Pier A. Mello · 1 citation
Physics and Astronomy · #chao-dyn #cond-mat #nlin.CD
paper · pdf · doi:10.1209/epl/i1998-00218-2
9 pages (Latex) and 1 EPS figure. Submitted to Europhysics Letters. The conjecture proposed in the previous version is proved; thus the present version contains a more satisfactory presentation of the problem
arxiv created 1997/10/30 · arxiv updated 2009/11/30
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 <S>) can be reduced to the simpler case where direct processes are absent (<S> = 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 <S> = 0, to the case <S> 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.