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Coherent States for the Deformed Algebras

V. Sunilkumar·B. A. Bambah·P. K. Panigrahi·V. Srinivasan
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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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V. Sunilkumar, B. A. Bambah, P. K. Panigrahi, V. Srinivasan. 1999-05-05. Coherent States for the Deformed Algebras. https://arxiv.org/abs/quant-ph/9905010

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