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Non-hermitean delocalization: Multiple scattering and bounds
Affiliation:1. School of Economics and Management, Beijing Jiaotong University, No.3 Shangyuancun, Haidian District, Beijing 100044, PR China;2. Institutes of Science and Development, Chinese Academy of Sciences, No.15 ZhongGuanCun BeiYiTiao Alley, Haidian District, Beijing 100090, PR China;3. University of Chinese Academy of Sciences, No.19A Yuquanlu, Beijing 100190, PR China;4. UIBE Business School, University of International Business and Economics, No.10, Huixin Dongjie, Chaoyang District, Beijing, 100029, PR China;1. Complex Systems Lab, Discipline of Physics, Indian Institute of Technology Indore, Khandwa Road, Simrol, Indore 453552, India;2. Centre for Biosciences and Biomedical Engineering, Indian Institute of Technology Indore, Khandwa Road, Simrol, Indore 453552, India;3. CNR-Institute of Complex Systems, Via Madonna del Piano, 10, Sesto Fiorentino, Florence, 50019, Italy;4. The Italian Embassy in Israel, 25 Hamered st., Tel Aviv, 68125, Israel
Abstract:We study localization and delocalization in a class of non-hermitean Hamiltonians inspired by the problem of vortex pinning in superconductors. We show how to take into account multiple scattering. We also obtain some bounds on the complex energy spectrum.
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