arXiv:0904.1872 Abstract | arXiv Analytics

arXiv:0904.1872 [cond-mat.dis-nn]Abstract References Reviews Resources

Statistics of Resonances in One Dimensional Continuous Systems

Published 2009-04-12Version 1

We study the average density of resonances (DOR) of a disordered one-dimensional continuous open system. The disordered system is semi-infinite, with white-noise random potential, and it is coupled to the external world by a semi-infinite continuous perfect lead. Our main result is an integral representation for the DOR which involves the probability density function of the logarithmic derivative of the wave function at the contact point.

Comments: latex, 8 pages, no figures; original material, based on an invited lecture at the Homi Bhabha Centenary conference on "Non-Hermitian operators in quantum physics", Bhaba Atomic Research Center, Mumbai, January 2009

DOI: 10.1007/s12043-009-0108-6

Categories: cond-mat.dis-nn, hep-th, math-ph, math.MP, quant-ph

Keywords: dimensional continuous systems, resonances, statistics, probability density function, disordered one-dimensional continuous open system

Tags: conference paper, journal article

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