New Exactly Solvable Isospectral Partners for PT Symmetric Potentials

Details New Exactly Solvable Isospectral Partners for PT Symmetric Potentials New Exactly Solvable Isospectral Partners for PT Symmetric Potentials

2003-12-09

arxiv.org/abs/quant-ph/0312085v2

Physics

Quantum Physics

11 pages, 2 figures, To be published in Journal of Physics A (2004)

Scientific paper

10.1088/0305-4470/37/6/039

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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