Statistics of resonances in one-dimensional continuous systems

Pramana

Joshua Feinberg1¹ 

[1] Physics Department, University of Haifa at Oranim, Tivon 36006, Israel and Physics Department, Technion, Haifa 32000, Israel$$

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

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown