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Generalized Coherent States for q-Deformed Hyperbolic Pöshel-Teller Potential

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Abstract

In this paper, we solve the Schrödinger equation for q-deformed hyperbolic Pöshel-Teller (PT) potential and we obtain the wave function and ladder operators for it. We show that these operators satisfy commutation relations of su(2) Lie algebra. Then we build the generalized coherent states for this q-deformed potential. We show that for the case q=1, we can obtain the same generalized coherent states for usual hyperbolic PT potential.

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Authors and Affiliations

  1. Department of Science, University of Kurdistan, Pasdaran Ave., Sanandaj, Iran

    M. R. Setare & A. Fallahpour

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  1. M. R. Setare
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  2. A. Fallahpour
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Correspondence to M. R. Setare.

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Setare, M.R., Fallahpour, A. Generalized Coherent States for q-Deformed Hyperbolic Pöshel-Teller Potential. Int J Theor Phys 48, 1263–1270 (2009). https://doi.org/10.1007/s10773-008-9898-4

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  • DOI: https://doi.org/10.1007/s10773-008-9898-4

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