dorsal/arxiv
View SchemaA PT-Invariant Potential With Complex QES Eigenvalues
| Authors | Avinash Khare, Bhabani Prasad Mandal |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0006126 |
| URL | https://arxiv.org/abs/quant-ph/0006126 |
| DOI | 10.1016/S0375-9601(00)00409-6 |
| Journal | Phys.Lett. A272 (2000) 53-56 |
Abstract
We show that the quasi-exactly solvable eigenvalues of the Schr\"odinger equation for the PT-invariant potential $V(x) = -(\zeta \cosh 2x -iM)^2$ are complex conjugate pairs in case the parameter M is an even integer while they are real in case M is an odd integer. We also show that whereas the PT symmetry is spontaneously broken in the former case, it is unbroken in the latter case.
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"abstract": "We show that the quasi-exactly solvable eigenvalues of the Schr\\\"odinger\nequation for the PT-invariant potential $V(x) = -(\\zeta \\cosh 2x -iM)^2$ are\ncomplex conjugate pairs in case the parameter M is an even integer while they\nare real in case M is an odd integer. We also show that whereas the PT symmetry\nis spontaneously broken in the former case, it is unbroken in the latter case.",
"arxiv_id": "quant-ph/0006126",
"authors": [
"Avinash Khare",
"Bhabani Prasad Mandal"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"doi": "10.1016/S0375-9601(00)00409-6",
"journal_ref": "Phys.Lett. A272 (2000) 53-56",
"title": "A PT-Invariant Potential With Complex QES Eigenvalues",
"url": "https://arxiv.org/abs/quant-ph/0006126"
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