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arXiv · 1410.3583

PT-symmetric model with an interplay between kinematical and dynamical non-localities

Miloslav Znojil
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Abstract

A new family of non-Hermitian PT-symmetric quantum models is proposed in which the Hamiltonians $H=T+V$ are finite-dimensional and in which the dynamical-input potential $V$ is multi-parametric and non-local. The choice is supported by the exact solvability of Schr\"{o}dinger equation and by the well known fact that in PT-symmetric models a non-locality is already present due to the generic kinematical non-diagonality of the Hermitizing metrics $\Theta$. For a subfamily of our $H$s, also {\em all\,} of the eligible metrics $\Theta$ appear obtainable in closed form.

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Miloslav Znojil. 2014-10-14. PT-symmetric model with an interplay between kinematical and dynamical non-localities. https://doi.org/10.1088/1751-8113/48/19/195303

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