dorsal/arxiv
View SchemaA New Class of PT-symmetric Hamiltonians with Real Spectra
| Authors | F. Cannata, M. Ioffe, R. Roychoudhury, P. Roy |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0011089 |
| URL | https://arxiv.org/abs/quant-ph/0011089 |
| DOI | 10.1016/S0375-9601(01)00144-X |
| Journal | Phys.Lett. A281 (2001) 305-310 |
Abstract
We investigate complex PT-symmetric potentials, associated with quasi-exactly solvable non-hermitian models involving polynomials and a class of rational functions. We also look for special solutions of intertwining relations of SUSY Quantum Mechanics providing a partnership between a real and a complex PT-symmetric potential of the kind mentioned above. We investigate conditions sufficient to ensure the reality of the full spectrum or, for the quasi-exactly solvable systems, the reality of the energy of the finite number of levels.
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"abstract": "We investigate complex PT-symmetric potentials, associated with quasi-exactly\nsolvable non-hermitian models involving polynomials and a class of rational\nfunctions. We also look for special solutions of intertwining relations of SUSY\nQuantum Mechanics providing a partnership between a real and a complex\nPT-symmetric potential of the kind mentioned above. We investigate conditions\nsufficient to ensure the reality of the full spectrum or, for the quasi-exactly\nsolvable systems, the reality of the energy of the finite number of levels.",
"arxiv_id": "quant-ph/0011089",
"authors": [
"F. Cannata",
"M. Ioffe",
"R. Roychoudhury",
"P. Roy"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"doi": "10.1016/S0375-9601(01)00144-X",
"journal_ref": "Phys.Lett. A281 (2001) 305-310",
"title": "A New Class of PT-symmetric Hamiltonians with Real Spectra",
"url": "https://arxiv.org/abs/quant-ph/0011089"
},
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