A N F Aleixo and A B Balantekin 2004 J. Phys. A: Math. Gen. 37 8513 doi:10.1088/0305-4470/37/35/008
An algebraic construction of generalized coherent states for shape-invariant potentials
A N F Aleixo1 and A B Balantekin2
Show affiliationsGeneralized 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
- MSC
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81Q60 Supersymmetric quantum mechanics
81R30 Coherent states (See also 22E45); squeezed states (See also 81V80)
- Subjects
- Dates
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Issue 35 (3 September 2004)
Received 29 April 2004
Published 17 August 2004
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An algebraic construction of generalized coherent states for shape-invariant potentials
A N F Aleixo and A B Balantekin 2004 J. Phys. A: Math. Gen. 37 8513
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