Abstract. Generalized coherent states for shape-invariant potentials are constructed using an algebraic approach based on supersymmetric quantum mechanics. We show that this generalized formalism is able to (a) supply the essential requirements necessary to establish a connection between classical and quantum formulations of a given system (continuity of labelling, resolution of unity, temporal stability and action identity), (b) reproduce results already known for shape-invariant systems, such as harmonic oscillator, double anharmonic, Pöschl–Teller and self-similar potentials, and (c) point to a formalism that provides a unified description of the different kind of coherent states for quantum systems.

PACS number: 03.65.Fd

Print publication: Issue 35 (3 September 2004)
Received 29 April 2004
Published 17 August 2004