Bound states of PT-symmetric separable potentials

Details Bound states of PT-symmetric separable potentials Bound states of PT-symmetric separable potentials

2011-07-12

arxiv.org/abs/1107.2293v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 3 figures

Scientific paper

All of the PT-symmetric potentials that have been studied so far have been local. In this paper nonlocal PT-symmetric separable potentials of the form $V(x,y)=i\epsilon[U(x)U(y)-U(-x)U(-y)]$, where $U(x)$ is real, are examined. Two specific models are examined. In each case it is shown that there is a parametric region of the coupling strength $\epsilon$ for which the PT symmetry of the Hamiltonian is unbroken and the bound-state energies are real. The critical values of $\epsilon$ that bound this region are calculated.

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