Coherent States for the Deformed Algebras
Quantum Physics
2007-05-23 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.quant-ph/9905010,
title = {Coherent States for the Deformed Algebras},
author = {V. Sunilkumar and B. A. Bambah and P. K. Panigrahi and V. Srinivasan},
journal= {arXiv preprint arXiv:quant-ph/9905010},
year = {2007}
}
Comments
11 pages, REVTeX