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

Author： Gopar V. A. Mello P. A.

Publisher： Edp Sciences

E-ISSN： 1286-4854|42|2|131-136

ISSN： 0295-5075

Source： EPL (EUROPHYSICS LETTERS), Vol.42, Iss.2, 2010-03, pp. : 131-136

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

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Abstract

We show that the study of the statistical properties of thescattering matrixS for quantum chaotic scattering in the presence of direct processes (characterized by $\overline S \neq 0$, $\overline S$ being the average S-matrix) can be reduced to the simpler case where direct processesare absent ($\overline S = 0$).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$\overline S = 0$, to the case $\overline S \neq 0$; this extension is verified numerically. As a consequence of our result, future calculationscan be restricted to the simpler case of no direct processes.

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