dorsal/arxiv
View SchemaInterpolating Coherent States for Heisenberg-Weyl and Single-Photon SU(1,1) Algebras
| Authors | S. Sivakumar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0111111 |
| URL | https://arxiv.org/abs/quant-ph/0111111 |
| DOI | 10.1088/0305-4470/35/31/315 |
Abstract
New quantal states which interpolate between the coherent states of the Heisenberg_Weyl and SU(1,1) algebras are introduced. The interpolating states are obtained as the coherent states of a closed and symmetric algebra which interpolates between the two algebras. The overcompleteness of the interpolating coherent states is established. Differential operator representations in suitable spaces of entire functions are given for the generators of the algebra. A nonsymmetric set of operators to realize the Heisenberg-Weyl algebra is provided and the relevant coherent states are studied.
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"abstract": "New quantal states which interpolate between the coherent states of the\nHeisenberg_Weyl and SU(1,1) algebras are introduced. The interpolating states\nare obtained as the coherent states of a closed and symmetric algebra which\ninterpolates between the two algebras. The overcompleteness of the\ninterpolating coherent states is established. Differential operator\nrepresentations in suitable spaces of entire functions are given for the\ngenerators of the algebra. A nonsymmetric set of operators to realize the\nHeisenberg-Weyl algebra is provided and the relevant coherent states are\nstudied.",
"arxiv_id": "quant-ph/0111111",
"authors": [
"S. Sivakumar"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/35/31/315",
"title": "Interpolating Coherent States for Heisenberg-Weyl and Single-Photon SU(1,1) Algebras",
"url": "https://arxiv.org/abs/quant-ph/0111111"
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