Statistics of Resonances in One Dimensional Continuous Systems

Details Statistics of Resonances in One Dimensional Continuous Systems Statistics of Resonances in One Dimensional Continuous Systems

2009-04-12

arxiv.org/abs/0904.1872v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

latex, 8 pages, no figures; original material, based on an invited lecture at the Homi Bhabha Centenary conference on "Non-Her

Scientific paper

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.

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