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Day May 28, 2012

Path Integral Solution of PT-/non-PT-Symmetric and non-Hermitian Hulthen Potential

N. Kandirmaz, R. Sever

The wave functions and the energy spectrum of PT-/non-PT-Symmetric and non-Hermitian Hulthen potential are of an exponential type and are obtained via the path integral. The path integral is constructed using parametric time and point transformation.

http://ctn.cvut.cz/ap/download.php?id=572

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