Completeness of coherent states associated with self-similar potentials and Ramanujan's integral extension of the beta function

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Published 15 October 2002 • Published under licence by IOP Publishing Ltd
, , Citation A N F Aleixo et al 2002 J. Phys. A: Math. Gen. 35 9063 DOI 10.1088/0305-4470/35/43/306

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1 Instituto de Física, Universidade Federal do Rio de Janeiro, RJ, Brazil

2 Department of Physics, University of Wisconsin, Madison, WI 53706, USA

3 Departamento de Física, Instituto de Biociências, Letras e Ciências Exatas, UNESP, São José do Rio Preto, SP, Brazil

Dates

  1. Received 14 June 2002
  2. Published

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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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