dorsal/arxiv
View SchemaCreation and annihilation operators and coherent states for the PT-symmetric oscillator
| Authors | B. Bagchi, C. Quesne |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0110133 |
| URL | https://arxiv.org/abs/quant-ph/0110133 |
| DOI | 10.1142/S0217732301005916 |
| Journal | Mod.Phys.Lett. A16 (2001) 2449-2456 |
Abstract
We construct two commuting sets of creation and annihilation operators for the PT-symmetric oscillator. We then build coherent states of the latter as eigenstates of such annihilation operators by employing a modified version of the normalization integral that is relevant to PT-symmetric systems. We show that the coherent states are normalizable only in the range (0, 1) of the underlying coupling parameter $\alpha$.
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"abstract": "We construct two commuting sets of creation and annihilation operators for\nthe PT-symmetric oscillator. We then build coherent states of the latter as\neigenstates of such annihilation operators by employing a modified version of\nthe normalization integral that is relevant to PT-symmetric systems. We show\nthat the coherent states are normalizable only in the range (0, 1) of the\nunderlying coupling parameter $\\alpha$.",
"arxiv_id": "quant-ph/0110133",
"authors": [
"B. Bagchi",
"C. Quesne"
],
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"quant-ph",
"hep-th",
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"math.MP"
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"doi": "10.1142/S0217732301005916",
"journal_ref": "Mod.Phys.Lett. A16 (2001) 2449-2456",
"title": "Creation and annihilation operators and coherent states for the PT-symmetric oscillator",
"url": "https://arxiv.org/abs/quant-ph/0110133"
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