Statistics of Resonances in One Dimensional Continuous Systems
Feinberg, Joshua
Disordered Systems and Neural Networks
High Energy Physics - Theory
Mathematical Physics
Quantum Physics
Original · EN
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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