| Issue |
Europhys. Lett.
Volume 42, Number 2, April II 1998
|
|
|---|---|---|
| Page(s) | 131 - 136 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i1998-00218-2 | |
| Published online | 01 September 2002 | |
The problem of quantum chaotic scattering with direct processes reduced to the one without
1
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
Corresponding authors: gopar@fenix.ifisicacu.unam.mx mello@fenix.ifisicacu.unam.mx
Received:
13
October
1997
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
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