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New Exactly Solvable Isospectral Partners for PT Symmetric Potentials

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Type
Preprint
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Submission Date
Identifiers
DOI: 10.1088/0305-4470/37/6/039
arXiv ID: quant-ph/0312085
Source
arXiv
License
Unknown
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Abstract

We examine in detail the possibilty of applying Darboux transformation to non Hermitian hamiltonians. In particular we propose a simple method of constructing exactly solvable PT symmetric potentials by applying Darboux transformation to higher states of an exactly solvable PT symmetric potential. It is shown that the resulting hamiltonian and the original one are pseudo supersymmetric partners. We also discuss application of Darboux transformation to hamiltonians with spontaneously broken PT symmetry.

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