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Barut-Girardello Coherent States for the Parabolic Cylinder Functions
Authors:A Chenaghlou  O Faizy
Institution:(1) Physics Department, Faculty of Science, Sahand University of Technology, PO Box 51335-1996, Tabriz, Iran
Abstract:The Barut-Girardello coherent states for the parabolic cylinder functions are constructed. It is shown that the resolution of unity condition is satisfied for the coherent states. In the Hilbert space spanned by the parabolic cylinder eigenstates, the appropriate measure is also obtained.
Keywords:Coherent States  Special Functions  Quantum Mechanics
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