Localization, resonance and non-Hermitian quantum mechanics

Naomichi Hatano, Takahiro Watanabe and Junko Yamasaki

Physica A: Statistical Mechanics and its Applications, 2002, vol. 314, issue 1, 170-176

Abstract: A type of non-Hermitian generalization of quantum mechanics is discussed. We introduce an imaginary vector potential to the Hamiltonian of systems such as Anderson-localization systems and mesoscopic systems. In these systems the imaginary part of the wave number of the eigenfunction asymptote ψ(x)∼eikx is of fundamental interest. We propose the use of the imaginary vector potential for the measurement of the localization length and the resonance lifetime.

Keywords: Anderson localization; Resonance; Mesoscopic system; Ballistic conduction; Non-Hermitian quantum mechanics (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:314:y:2002:i:1:p:170-176

DOI: 10.1016/S0378-4371(02)01070-1

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