Generalized Robertson intelligent states and squeezing for supersymmetric and shape-invariant systems

doi:10.1088/1751-8113/40/19/011

Generalized Robertson intelligent states and squeezing for supersymmetric and shape-invariant systems: an algebraic construction

A N F Aleixo et al 2007 J. Phys. A: Math. Theor. 40 5105-5126 doi: 10.1088/1751-8113/40/19/011

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A N F Aleixo¹ and A B Balantekin²
¹ Instituto de Física, Universidade Federal do Rio de Janeiro, RJ, Brazil
² Department of Physics, University of Wisconsin, Madison, WI 53706, USA
E-mail: armando@if.ufrj.br and baha@physics.wisc.edu

Abstract. We obtain the Robertson–Schrödinger uncertainty relation for shape-invariant systems and construct generalized Robertson intelligent states for these systems using an algebraic approach based on the supersymmetric quantum mechanics. Using the variances of generalized quadrature operators we study the coherency and squeezing properties, evaluating their dependence on different kinds of generalizations for shape-invariant systems with potential parameters related by a translation (Pöschl–Teller potential) and by a scaling (self-similar potential).

PACS numbers: 03.65.Ca, 03.65.Fd

Print publication: Issue 19 (11 May 2007)
Received 20 December 2006, in final form 19 March 2007
Published 24 April 2007

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Generalized Robertson intelligent states and squeezing for supersymmetric and shape-invariant systems: an algebraic construction

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