dorsal/arxiv
View Schema$\cal{PT}$ symmetric models with nonlinear pseudo supersymmetry
| Authors | A. Sinha, P. Roy |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505221 |
| URL | https://arxiv.org/abs/quant-ph/0505221 |
| DOI | 10.1063/1.1843273 |
| Journal | J. Math. Phys. 46, 032102 - 032118 (2005) |
Abstract
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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"abstract": "By applying the higher order Darboux algorithm to an exactly solvable non\nHermitian ${\\cal{PT}}$ symmetric potential, we obtain a hierarchy of new\nexactly solvable non Hermitian ${\\cal{PT}}$ symmetric potentials with real\nspectra. It is shown that the symmetry underlying the potentials so generated\nand the original one is {\\it nonlinear pseudo supersymmetry}. We also show that\nthis formalism can be used to generate a larger class of new solvable\npotentials when applied to non Hermitian systems.",
"arxiv_id": "quant-ph/0505221",
"authors": [
"A. Sinha",
"P. Roy"
],
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"quant-ph"
],
"doi": "10.1063/1.1843273",
"journal_ref": "J. Math. Phys. 46, 032102 - 032118 (2005)",
"title": "$\\cal{PT}$ symmetric models with nonlinear pseudo supersymmetry",
"url": "https://arxiv.org/abs/quant-ph/0505221"
},
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