International Journal of Theoretical Physics

, Volume 47, Issue 10, pp 2619–2624 | Cite as

Barut-Girardello Coherent States for the Parabolic Cylinder Functions

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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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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Physics Department, Faculty of ScienceSahand University of TechnologyTabrizIran

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