Completeness of Coherent States Associated with Self-Similar Potentials and Ramanujan's Integral Extension of the Beta Function

Aleixo, A. N. F.; Balantekin, A. B.; Ribeiro, M. A. Candido

Completeness of Coherent States Associated with Self-Similar Potentials and Ramanujan's Integral Extension of the Beta Function

Authors

Aleixo, A. N. F.

Balantekin, A. B.

Ribeiro, M. A. Candido

Description

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.
9 pages of Latex