dorsal/arxiv
View SchemaPT -symmetric harmonic oscillators
| Authors | Miloslav Znojil |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9905020 |
| URL | https://arxiv.org/abs/quant-ph/9905020 |
| DOI | 10.1016/S0375-9601(99)00429-6 |
| Journal | Phys.Lett. A259 (1999) 220-223 |
Abstract
Within the framework of the recently proposed formalism using non-hermitean Hamiltonians constrained merely by their PT invariance we describe a new exactly solvable family of the harmonic-oscillator-like potentials with non-equidistant spectrum. Our one-dimensional superposition of the harmonic x^2 with the centrifugal-like G/x^2 is regularized by a purely imaginary shift of $x$.
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"abstract": "Within the framework of the recently proposed formalism using non-hermitean\nHamiltonians constrained merely by their PT invariance we describe a new\nexactly solvable family of the harmonic-oscillator-like potentials with\nnon-equidistant spectrum. Our one-dimensional superposition of the harmonic x^2\nwith the centrifugal-like G/x^2 is regularized by a purely imaginary shift of\n$x$.",
"arxiv_id": "quant-ph/9905020",
"authors": [
"Miloslav Znojil"
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"doi": "10.1016/S0375-9601(99)00429-6",
"journal_ref": "Phys.Lett. A259 (1999) 220-223",
"title": "PT -symmetric harmonic oscillators",
"url": "https://arxiv.org/abs/quant-ph/9905020"
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