Statistics of resonances in one-dimensional continuous systems

Joshua Feinberg

doi:10.1007/s12043-009-0108-6

Statistics of resonances in one-dimensional continuous systems

Joshua Feinberg

Department of Physics

Research output: Contribution to journal › Article › peer-review

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 thecontact point.

Original language	English
Pages (from-to)	565-572
Number of pages	8
Journal	Pramana - Journal of Physics
Volume	73
Issue number	3
DOIs	https://doi.org/10.1007/s12043-009-0108-6
State	Published - Sep 2009

Bibliographical note

Funding 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).

Keywords

Average density of resonances
Disordered systems
Fokker-planck equation
Resonances
Spectral determinant

ASJC Scopus subject areas

General Physics and Astronomy

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10.1007/s12043-009-0108-6

Cite this

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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 thecontact point.",

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note = "Funding 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).",

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KW - Disordered systems

KW - Fokker-planck equation

KW - Resonances

KW - Spectral determinant

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ER -

Statistics of resonances in one-dimensional continuous systems

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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