Bound states of PT-symmetric separable potentials
Journal Article
·
· Physical Review. A
- Department of Physics, King's College, London WC2R 2LS (United Kingdom)
- Blackett Laboratory, Imperial College, London SW7 2AZ (United Kingdom)
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.
- OSTI ID:
- 22068625
- Journal Information:
- Physical Review. A, Vol. 84, Issue 3; Other Information: (c) 2011 American Institute of Physics; Country of input: Syrian Arab Republic; ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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