dorsal/arxiv
View SchemaPT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework
| Authors | B. Bagchi, C. Quesne |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0201063 |
| URL | https://arxiv.org/abs/quant-ph/0201063 |
| DOI | 10.1142/S0217732302006734 |
| Journal | Mod.Phys.Lett. A17 (2002) 463-473 |
Abstract
Extending the supersymmetric method proposed by Tkachuk to the complex domain, we obtain general expressions for superpotentials allowing generation of quasi-exactly solvable PT-symmetric potentials with two known real eigenvalues (the ground state and first-excited state energies). We construct examples, namely those of complexified non-polynomial oscillators and of a complexified hyperbolic potential, to demonstrate how our scheme works in practice. For the former we provide a connection with the sl(2) method, illustrating the comparative advantages of the supersymmetric one.
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"abstract": "Extending the supersymmetric method proposed by Tkachuk to the complex\ndomain, we obtain general expressions for superpotentials allowing generation\nof quasi-exactly solvable PT-symmetric potentials with two known real\neigenvalues (the ground state and first-excited state energies). We construct\nexamples, namely those of complexified non-polynomial oscillators and of a\ncomplexified hyperbolic potential, to demonstrate how our scheme works in\npractice. For the former we provide a connection with the sl(2) method,\nillustrating the comparative advantages of the supersymmetric one.",
"arxiv_id": "quant-ph/0201063",
"authors": [
"B. Bagchi",
"C. Quesne"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"doi": "10.1142/S0217732302006734",
"journal_ref": "Mod.Phys.Lett. A17 (2002) 463-473",
"title": "PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework",
"url": "https://arxiv.org/abs/quant-ph/0201063"
},
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