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

A N F Aleixo1, A B Balantekin2 and M A Cândido Ribeiro3

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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

03.65.Fd Algebraic methods

02.30.Gp Special functions

MSC

81R30 Coherent states (See also 22E45); squeezed states (See also 81V80)

81Q60 Supersymmetric quantum mechanics

33B15 Gamma, beta and polygamma functions

Subjects

Mathematical physics

Quantum information and quantum mechanics

Dates

Issue 43 (1 November 2002)

Received 14 June 2002, in final form 21 August 2002

Published 15 October 2002



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