dorsal/arxiv
View SchemaCoherent States for the Deformed Algebras
| Authors | V. Sunilkumar, B. A. Bambah, P. K. Panigrahi, V. Srinivasan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9905010 |
| URL | https://arxiv.org/abs/quant-ph/9905010 |
Abstract
We provide a unified approach for finding the coherent states of various deformed algebras, including quadratic, Higgs and q-deformed algebras, which are relevant for many physical problems. For the non-compact cases, coherent states, which are the eigenstates of the respective annihilation operators, are constructed by finding the canonical conjugates of these operators. We give a general procedure to map these deformed algebras to appropriate Lie algebras. Generalized coherent states, in the Perelomov sense, follow from this construction.
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"abstract": "We provide a unified approach for finding the coherent states of various\ndeformed algebras, including quadratic, Higgs and q-deformed algebras, which\nare relevant for many physical problems. For the non-compact cases, coherent\nstates, which are the eigenstates of the respective annihilation operators, are\nconstructed by finding the canonical conjugates of these operators. We give a\ngeneral procedure to map these deformed algebras to appropriate Lie algebras.\nGeneralized coherent states, in the Perelomov sense, follow from this\nconstruction.",
"arxiv_id": "quant-ph/9905010",
"authors": [
"V. Sunilkumar",
"B. A. Bambah",
"P. K. Panigrahi",
"V. Srinivasan"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"title": "Coherent States for the Deformed Algebras",
"url": "https://arxiv.org/abs/quant-ph/9905010"
},
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"variant": "snapshot-2026-03-01",
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