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

Victor A. Gopar; Pier A. Mello

doi:10.1209/epl/i1998-00218-2

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

Victor A. Gopar·Pier A. Mello

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Abstract

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.

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Victor A. Gopar, Pier A. Mello. 1997-10-30. The problem of quantum chaotic scattering with direct processes reduced to the one without. https://doi.org/10.1209/epl%2Fi1998-00218-2

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