arXiv:math-ph/0209033·v1·Mathematical Physics
Completeness of Coherent States Associated with Self-Similar Potentials and Ramanujan's Integral Extension of the Beta Function
A. N. F. Aleixo (Rio de Janeiro Federal U.)🇧🇷 · A. B. Balantekin (Wisconsin U., Madison)🇺🇸 · M. A. Candido Ribeiro (Sao Jose do Rio Preto, IBLCE)🇧🇷
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.
Comments: 9 pages of Latex