Generalized Continuity Equation for Quasi-Hermitian Hamiltonians

Amine B. Hammou

Abstract


The continuity relation is generalized to quasi-Hermitian one-dimensional Hamiltonians. As an application we show that the reflection and transmission coefficients computed with the generalized current obey the conventional unitarity relation for the continuous double delta function potential.

Keywords


complex scattering potential; metric operator; quasi-Hermitian; PT-symmetry

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ISSN 1210-2709 (Print)
ISSN 1805-2363 (Online)
Published by the Czech Technical University in Prague