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

A. B. Balantekin (Wisconsin U.; A. N. F. Aleixo (Rio de Janeiro Federal U.); IBLCE); M. A. Candido Ribeiro (Sao Jose do Rio Preto; Madison)

arxiv: math-ph/0209033 · v1 · submitted 2002-09-16 · 🧮 math-ph · math.MP· math.QA· nucl-th

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) This is my paper

classification 🧮 math-ph math.MPmath.QAnucl-th

keywords coherentintegralstatesassociatedbetaextensionfunctionpotentials

0 comments

read the original 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.

This paper has not been read by Pith yet.

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

discussion (0)