Completeness of coherent states associated with self-similar potentials

doi:10.1088/0305-4470/35/43/306

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

A N F Aleixo et al 2002 J. Phys. A: Math. Gen. 35 9063-9069 doi: 10.1088/0305-4470/35/43/306

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A N F Aleixo¹, A B Balantekin² and M A Cândido Ribeiro³
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
E-mail: armando@if.ufrj.br, baha@nucth.physics.wisc.edu and macr@df.ibilce.unesp.br

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

PACS numbers: 02.20.Uw, 03.65.Fd

Print publication: Issue 43 (1 November 2002)
Received 14 June 2002, in final form 21 August 2002
Published 15 October 2002

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

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