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

Abstract

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

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)

References in corpus (4)

• Probabilistic Interpretation of Resonant States
• Statistics of Resonances in a Semi-infinite Disordered Chain
• Resonances in one-dimensional Disordered Chain
• Statistics of Resonances in One Dimensional Continuous Systems

Cited by in corpus (8)

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• The sharpness-induced mode stopping and spectrum rarefication in waveguides with periodically corrugated walls
• Dual nature of localization in guiding systems with randomly corrugated boundaries: Anderson-type versus entropic
• Impurity-directed Transport within a Finite Disordered Lattice
• Statistics of resonances in one-dimensional disordered systems
• Density of reflection resonances in one-dimensional disordered Schrödinger operators