dorsal/arxiv
View SchemaExact solution for Morse oscillator in PT-symmetric quantum mechanics
| Authors | Miloslav Znojil |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9909003 |
| URL | https://arxiv.org/abs/quant-ph/9909003 |
| DOI | 10.1016/S0375-9601(99)00805-1 |
| Journal | Phys. Lett. A 264 (1999) 108-111 |
Abstract
The recently proposed PT-symmetric quantum mechanics works with complex potentials which possess, roughly speaking, a symmetric real part and an anti-symmetric imaginary part. We propose and describe a new exactly solvable model of this type. It is defined as a specific analytic continuation of the shape-invariant potential of Morse. In contrast to the latter well-known example, all the new spectrum proves real, discrete and bounded below. All its three separate subsequences are quadratic in n.
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"abstract": "The recently proposed PT-symmetric quantum mechanics works with complex\npotentials which possess, roughly speaking, a symmetric real part and an\nanti-symmetric imaginary part. We propose and describe a new exactly solvable\nmodel of this type. It is defined as a specific analytic continuation of the\nshape-invariant potential of Morse. In contrast to the latter well-known\nexample, all the new spectrum proves real, discrete and bounded below. All its\nthree separate subsequences are quadratic in n.",
"arxiv_id": "quant-ph/9909003",
"authors": [
"Miloslav Znojil"
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"doi": "10.1016/S0375-9601(99)00805-1",
"journal_ref": "Phys. Lett. A 264 (1999) 108-111",
"title": "Exact solution for Morse oscillator in PT-symmetric quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/9909003"
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