dorsal/arxiv
View SchemaComplexified PSUSY and SSUSY interpretations of some PT-symmetric Hamiltonians possessing two series of real energy eigenvalues
| Authors | B. Bagchi, S. Mallik, C. Quesne |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0106021 |
| URL | https://arxiv.org/abs/quant-ph/0106021 |
| DOI | 10.1142/S0217751X02005748 |
| Journal | Int.J.Mod.Phys.A17:51-72,2002 |
Abstract
We analyze a set of three PT-symmetric complex potentials, namely harmonic oscillator, generalized Poschl-Teller and Scarf II, all of which reveal a double series of energy levels along with the corresponding superpotential. Inspired by the fact that two superpotentials reside naturally in order-two parasupersymmetry (PSUSY) and second-derivative supersymmetry (SSUSY) schemes, we complexify their frameworks to successfully account for the three potentials.
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"abstract": "We analyze a set of three PT-symmetric complex potentials, namely harmonic\noscillator, generalized Poschl-Teller and Scarf II, all of which reveal a\ndouble series of energy levels along with the corresponding superpotential.\nInspired by the fact that two superpotentials reside naturally in order-two\nparasupersymmetry (PSUSY) and second-derivative supersymmetry (SSUSY) schemes,\nwe complexify their frameworks to successfully account for the three\npotentials.",
"arxiv_id": "quant-ph/0106021",
"authors": [
"B. Bagchi",
"S. Mallik",
"C. Quesne"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"doi": "10.1142/S0217751X02005748",
"journal_ref": "Int.J.Mod.Phys.A17:51-72,2002",
"title": "Complexified PSUSY and SSUSY interpretations of some PT-symmetric Hamiltonians possessing two series of real energy eigenvalues",
"url": "https://arxiv.org/abs/quant-ph/0106021"
},
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