dorsal/arxiv
View SchemaAn Algebraic Construction of Generalized Coherent States for Shape-Invariant Potentials
| Authors | A. N. F. Aleixo, A. B. Balantekin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407160 |
| URL | https://arxiv.org/abs/quant-ph/0407160 |
| DOI | 10.1088/0305-4470/37/35/008 |
| Journal | J.Phys.A37:8513,2004 |
Abstract
Generalized coherent states for shape invariant potentials are constructed using an algebraic approach based on supersymmetric quantum mechanics. We show 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 labeling, resolution of unity, temporal stability, and action identity); b) reproduce results already known for shape-invariant systems, like harmonic oscillator, double anharmonic, Poschl-Teller and self-similar potentials and; c) point to a formalism that provides an unified description of the different kind of coherent states for quantum systems.
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"abstract": "Generalized coherent states for shape invariant potentials are constructed\nusing an algebraic approach based on supersymmetric quantum mechanics. We show\nthis generalized formalism is able to: a) supply the essential requirements\nnecessary to establish a connection between classical and quantum formulations\nof a given system (continuity of labeling, resolution of unity, temporal\nstability, and action identity); b) reproduce results already known for\nshape-invariant systems, like harmonic oscillator, double anharmonic,\nPoschl-Teller and self-similar potentials and; c) point to a formalism that\nprovides an unified description of the different kind of coherent states for\nquantum systems.",
"arxiv_id": "quant-ph/0407160",
"authors": [
"A. N. F. Aleixo",
"A. B. Balantekin"
],
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"quant-ph",
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],
"doi": "10.1088/0305-4470/37/35/008",
"journal_ref": "J.Phys.A37:8513,2004",
"title": "An Algebraic Construction of Generalized Coherent States for Shape-Invariant Potentials",
"url": "https://arxiv.org/abs/quant-ph/0407160"
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