Effective Non-Hermitian Hamiltonians for Studying Resonance Statistics in Open Disordered Systems

2010/11/26 by Joshua Feinberg
Chemistry · Mathematics · Physics and Astronomy · #Advanced NMR Techniques and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #cond-mat.dis-nn #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1007/s10773-010-0604-y

published as Int.J.Theor.Phys.50:1116-1125,2011 · Latex, 20 pages, 1 fig. Expanded version of a talk at the Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics IX, June 21-24 2010, Zhejiang University, Hangzhou, China. Accepted for publication in the Internationa Journal of Theoretical Physics (Springer Verlag)

arxiv created 2010/11/26 · openalex publication_date 2010/12/01 · arxiv updated 2011/08/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

We briefly discuss construction of energy-dependent effective non-hermitian hamiltonians for studying resonances in open disordered systems

Citations

• Time-delay correlations and resonances in one-dimensional disordered systems
• Statistics of Resonances and Delay Times: A Criterion for Metal-Insulator Transitions
• Electrons in disordered systems and the theory of localization
• Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions