Localization, resonance and non-Hermitian quantum mechanics

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.

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Year of publication:	2002
Authors:	Hatano, Naomichi ; Watanabe, Takahiro ; Yamasaki, Junko
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 314.2002, 1, p. 170-176
Publisher:	Elsevier
Subject:	Anderson localization \| Resonance \| Mesoscopic system \| Ballistic conduction \| Non-Hermitian quantum mechanics

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011059176