dorsal/arxiv
View SchemaA family of complex potentials with real spectrum
| Authors | F. M. Fernandez, R. Guardiola, J. Ros, M. Znojil |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9812026 |
| URL | https://arxiv.org/abs/quant-ph/9812026 |
| DOI | 10.1088/0305-4470/32/17/303 |
Abstract
We consider a two-parameter non hermitean quantum-mechanical hamiltonian that is invariant under the combined effects of parity and time reversal transformation. Numerical investigation shows that for some values of the potential parameters the hamiltonian operator supports real eigenvalues and localized eigenfunctions. In contrast with other PT symmetric models, which require special integration paths in the complex plane, our model is integrable along a line parallel to the real axis.
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"date_created": "2026-03-02T18:02:45.074000Z",
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"abstract": "We consider a two-parameter non hermitean quantum-mechanical hamiltonian that\nis invariant under the combined effects of parity and time reversal\ntransformation. Numerical investigation shows that for some values of the\npotential parameters the hamiltonian operator supports real eigenvalues and\nlocalized eigenfunctions. In contrast with other PT symmetric models, which\nrequire special integration paths in the complex plane, our model is integrable\nalong a line parallel to the real axis.",
"arxiv_id": "quant-ph/9812026",
"authors": [
"F. M. Fernandez",
"R. Guardiola",
"J. Ros",
"M. Znojil"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/32/17/303",
"title": "A family of complex potentials with real spectrum",
"url": "https://arxiv.org/abs/quant-ph/9812026"
},
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"variant": "snapshot-2026-03-01",
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