New Exactly Solvable Isospectral Partners for PT Symmetric Potentials
Quantum Physics
2009-11-10 v2
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.
Keywords
Cite
@article{arxiv.quant-ph/0312085,
title = {New Exactly Solvable Isospectral Partners for PT Symmetric Potentials},
author = {Anjana Sinha and Pinaki Roy},
journal= {arXiv preprint arXiv:quant-ph/0312085},
year = {2009}
}
Comments
11 pages, 2 figures, To be published in Journal of Physics A (2004)