dorsal/arxiv
View SchemaNon-Hermitian SUSY Hydrogen-like Hamiltonians with real spectra
| Authors | Oscar Rosas-Ortiz, Rodrigo Munoz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302190 |
| URL | https://arxiv.org/abs/quant-ph/0302190 |
| DOI | 10.1088/0305-4470/36/31/311 |
| Journal | J.Phys.A36:8497-8506,2003 |
Abstract
It is shown that the radial part of the Hydrogen Hamiltonian factorizes as the product of two not mutually adjoint first order differential operators plus a complex constant epsilon. The 1-susy approach is used to construct non-hermitian Hamiltonians with hydrogen spectra. Other non-hermitian Hamiltonians are shown to admit an extra `complex energy' at epsilon. New self-adjoint hydrogen-like Hamiltonians are also derived by using a 2-susy transformation with complex conjugate pairs epsilon, (c.c) epsilon.
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"abstract": "It is shown that the radial part of the Hydrogen Hamiltonian factorizes as\nthe product of two not mutually adjoint first order differential operators plus\na complex constant epsilon. The 1-susy approach is used to construct\nnon-hermitian Hamiltonians with hydrogen spectra. Other non-hermitian\nHamiltonians are shown to admit an extra `complex energy\u0027 at epsilon. New\nself-adjoint hydrogen-like Hamiltonians are also derived by using a 2-susy\ntransformation with complex conjugate pairs epsilon, (c.c) epsilon.",
"arxiv_id": "quant-ph/0302190",
"authors": [
"Oscar Rosas-Ortiz",
"Rodrigo Munoz"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/36/31/311",
"journal_ref": "J.Phys.A36:8497-8506,2003",
"title": "Non-Hermitian SUSY Hydrogen-like Hamiltonians with real spectra",
"url": "https://arxiv.org/abs/quant-ph/0302190"
},
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