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arXiv quant-ph/05052212005-05-30quant-ph

$\cal{PT}$ symmetric models with nonlinear pseudo supersymmetry

A. Sinha, P. Roy

备注：: 18 pages
发表信息：: J. Math. Phys. 46, 032102 - 032118 (2005)
DOI：: 10.1063/1.1843273

英文摘要：

By applying the higher order Darboux algorithm to an exactly solvable non Hermitian ${\cal{PT}}$ symmetric potential, we obtain a hierarchy of new exactly solvable non Hermitian ${\cal{PT}}$ symmetric potentials with real spectra. It is shown that the symmetry underlying the potentials so generated and the original one is {\it nonlinear pseudo supersymmetry}. We also show that this formalism can be used to generate a larger class of new solvable potentials when applied to non Hermitian systems.

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