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Infinite quantum well: A coherent state approach

P.L. García de León 1 J.-P. Gazeau 2 J. Queva 1
2 APC - THEORIE
APC (UMR_7164) - AstroParticule et Cosmologie, Institut für theoretische Physik
Abstract : A new family of coherent states for the quantum particle motion in an infinite square well potential is presented. These 2-component vector-valued coherent states allow a consistent quantization of the classical phase space for a particle trapped in this potential. We study the basic quantum observables that are derived from such a quantization scheme, namely the position, energy, and a quantum version of the problematic momentum. We also consider their respective time-evolutions, their mean values in coherent states (''lower symbols'') and their quantum dispersions.
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http://hal.in2p3.fr/in2p3-00185500
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Submitted on : Tuesday, November 6, 2007 - 11:42:21 AM
Last modification on : Saturday, September 19, 2020 - 4:52:35 AM

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P.L. García de León, J.-P. Gazeau, J. Queva. Infinite quantum well: A coherent state approach. Physics Letters A, Elsevier, 2008, 372, pp.3597-3607. ⟨10.1016/j.physleta.2008.02.034⟩. ⟨in2p3-00185500⟩

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