dorsal/arxiv
View SchemaPT-symmetric square well and the associated SUSY hierarchies
| Authors | B. Bagchi, S. Mallik, C. Quesne |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0205003 |
| URL | https://arxiv.org/abs/quant-ph/0205003 |
| DOI | 10.1142/S0217732302008009 |
| Journal | Mod.Phys.Lett. A17 (2002) 1651-1664 |
Abstract
The PT-symmetric square well problem is considered in a SUSY framework. When the coupling strength $Z$ lies below the critical value $Z_0^{\rm (crit)}$ where PT symmetry becomes spontaneously broken, we find a hierarchy of SUSY partner potentials, depicting an unbroken SUSY situation and reducing to the family of $\sec^2$-like potentials in the $Z \to 0$ limit. For $Z$ above $Z_0^{\rm (crit)}$, there is a rich diversity of SUSY hierarchies, including some with PT-symmetry breaking and some with partial PT-symmetry restoration.
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"abstract": "The PT-symmetric square well problem is considered in a SUSY framework. When\nthe coupling strength $Z$ lies below the critical value $Z_0^{\\rm (crit)}$\nwhere PT symmetry becomes spontaneously broken, we find a hierarchy of SUSY\npartner potentials, depicting an unbroken SUSY situation and reducing to the\nfamily of $\\sec^2$-like potentials in the $Z \\to 0$ limit. For $Z$ above\n$Z_0^{\\rm (crit)}$, there is a rich diversity of SUSY hierarchies, including\nsome with PT-symmetry breaking and some with partial PT-symmetry restoration.",
"arxiv_id": "quant-ph/0205003",
"authors": [
"B. Bagchi",
"S. Mallik",
"C. Quesne"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"doi": "10.1142/S0217732302008009",
"journal_ref": "Mod.Phys.Lett. A17 (2002) 1651-1664",
"title": "PT-symmetric square well and the associated SUSY hierarchies",
"url": "https://arxiv.org/abs/quant-ph/0205003"
},
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