dorsal/arxiv
View SchemaIsospectral partners for a complex PT-invariant potential
| Authors | Anjana Sinha, Rajkumar Roychoudhury |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0205124 |
| URL | https://arxiv.org/abs/quant-ph/0205124 |
| DOI | 10.1016/S0375-9601(02)00736-3 |
Abstract
We construct isospectral partner potentials of a complex PT-invariant potential, viz., V(x) = V_1 sech ^2 x - i V_2 sech x tanh x using Darboux's method. Oneset of isospectral potentials are obatined which can be termed 'Satellite potentials', in the sense that they are pf the same form as the original potential. In a particular case, the supersymmetric partner potential has the same spectrum, including the zero energy ground state, a fact which cannot occur in conventional supersymmetric quantum mechanics with real potential. An explicit example of a non-trivial set of isospectral potential is also obtained.
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"abstract": "We construct isospectral partner potentials of a complex PT-invariant\npotential, viz., V(x) = V_1 sech ^2 x - i V_2 sech x tanh x using Darboux\u0027s\nmethod. Oneset of isospectral potentials are obatined which can be termed\n\u0027Satellite potentials\u0027, in the sense that they are pf the same form as the\noriginal potential. In a particular case, the supersymmetric partner potential\nhas the same spectrum, including the zero energy ground state, a fact which\ncannot occur in conventional supersymmetric quantum mechanics with real\npotential. An explicit example of a non-trivial set of isospectral potential is\nalso obtained.",
"arxiv_id": "quant-ph/0205124",
"authors": [
"Anjana Sinha",
"Rajkumar Roychoudhury"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0375-9601(02)00736-3",
"title": "Isospectral partners for a complex PT-invariant potential",
"url": "https://arxiv.org/abs/quant-ph/0205124"
},
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