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Temporally stable coherent states for infinite well and Pöschl–Teller potentials
Open accessAbstract
This article is a direct illustration of a construction of coherent states which has been recently proposed by two of us (JPG and JK). We have chosen the example of a particle trapped in an infinite square-well and also in Pöschl–Teller potentials of the trigonometric type. In the construction of the corresponding coherent states, we take advantage of the simplicity of the solutions, which ultimately stems from the fact they share a common SU(1,1) symmetry à la Barut-Girardello. Many properties of these states are then studied, both from mathematical and from physical points of view.
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Formulas and Theorems for the Special Functions of Mathematical Physics
Magnus, W., Oberhettinger, F., & Soni, R. P. (1966) · doi:10.1007/978-3-662-11761-3 · Cited by 3,469
Cited by
Robinett, R. (2004) · Physics Reports · doi:10.1016/j.physrep.2003.11.002 · Cited by 532
Singularity avoidance in a quantum model of the Mixmaster universe
Bergeron, H., Czuchry, E., Gazeau, J.-P., Małkiewicz, P., & Piechocki, W. (2015) · Physical Review D · doi:10.1103/physrevd.92.124018 · Cited by 37
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Metadata
- Authors
- Antoine, J.-P., Gazeau, J.-P., Monceau, P., Klauder, J. R., & Penson, K. A.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 2001-06-01
- Volume
- 42
- Issue
- 6
- Pages
- 2349-2387
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W2078603763
- Cited by
- 221
- References
- 1
- FWCI
- 10.84
- Type
- journal article
- Language
- en
- Open access
- green
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- CoChat. (2026). Citation check: Temporally stable coherent states for infinite well and Pöschl–Teller potentials. https://app.cochat.ai/papers/10.1063/1.1367328
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- Antoine, J.-P., Gazeau, J.-P., Monceau, P., Klauder, J. R., & Penson, K. A. (2001). Temporally stable coherent states for infinite well and Pöschl–Teller potentials. Journal of Mathematical Physics. https://doi.org/10.1063/1.1367328
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