dorsal/arxiv
View SchemaA direct proof of completeness of squeezed odd-number states
| Authors | S. Chaturvedi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9608036 |
| URL | https://arxiv.org/abs/quant-ph/9608036 |
| DOI | 10.1142/S0217732396002794 |
| Journal | Mod.Phys.Lett.A11:2805-2808,1996 |
Abstract
A direct proof of the resolution of the identity in the odd sector of the Fock space in terms of squeezed number states $D(\xi)|2m+1>; D(\xi) = \exp(({\xi}a^{\dagger2}-{\xi}^*{a^2})/2)$ is given. The proof entails evaluation of an integral involving Jacobi polynomials. This is achieved by the use of Racah identities.
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"abstract": "A direct proof of the resolution of the identity in the odd sector of the\nFock space in terms of squeezed number states $D(\\xi)|2m+1\u003e; D(\\xi) =\n\\exp(({\\xi}a^{\\dagger2}-{\\xi}^*{a^2})/2)$ is given. The proof entails\nevaluation of an integral involving Jacobi polynomials. This is achieved by the\nuse of Racah identities.",
"arxiv_id": "quant-ph/9608036",
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"S. Chaturvedi"
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"doi": "10.1142/S0217732396002794",
"journal_ref": "Mod.Phys.Lett.A11:2805-2808,1996",
"title": "A direct proof of completeness of squeezed odd-number states",
"url": "https://arxiv.org/abs/quant-ph/9608036"
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