Scattering from a discrete quasi-Hermitian delta function potential

Amine B Hammou

Scattering from a discrete quasi-Hermitian delta function potential is studied and the metric operator is found. A generalized continuity relation in the physical Hilbert space \({\mathcal H}_{{\rm phys}}\) is derived and the probability current density is defined. The reflection \({\mathcal R}\) and transmission \({\mathcal T}\) coefficients computed with this current are shown to obey the unitarity relation \({\mathcal R}+{\mathcal T}=1\).

http://dx.doi.org/10.1088/1751-8113/45/21/215310

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