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 thecontact point.
Bibliographical noteFunding Information:
The author wishes to thank Boris Shapiro for many valuable discussion on resonances in disordered systems. This work was supported in part by the Israel Science Foundation (ISF).
- Average density of resonances
- Disordered systems
- Fokker-planck equation
- Spectral determinant
ASJC Scopus subject areas
- Physics and Astronomy (all)