Completeness of Coherent States Associated with Self-Similar Potentials and Ramanujan's Integral Extension of the Beta Function
Mathematical Physics
2008-11-26 v1 math.MP
Quantum Algebra
Nuclear Theory
Abstract
A decomposition of identity is given as a complex integral over the coherent states associated with a class of shape-invariant self-similar potentials. There is a remarkable connection between these coherent states and Ramanujan's integral extension of the beta function.
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Cite
@article{arxiv.math-ph/0209033,
title = {Completeness of Coherent States Associated with Self-Similar Potentials and Ramanujan's Integral Extension of the Beta Function},
author = {A. N. F. Aleixo and A. B. Balantekin and M. A. Candido Ribeiro},
journal= {arXiv preprint arXiv:math-ph/0209033},
year = {2008}
}
Comments
9 pages of Latex