• Statistics of resonances in one-dimensional continuous systems

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      https://www.ias.ac.in/article/fulltext/pram/073/03/0565-0572

    • Keywords

       

      Resonances; spectral determinant; disordered systems; Fokker–Planck equation; average density of resonances.

    • Abstract

       

      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.

    • Author Affiliations

       

      Joshua Feinberg1

      1. Physics Department, University of Haifa at Oranim, Tivon 36006, Israel and Physics Department, Technion, Haifa 32000, Israel
    • Dates

       
  • Pramana – Journal of Physics | News

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