Generalized discrete q-Hermite I polynomials and q-deformed oscillator |
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| Authors: | Kamel MEZLINI Néji BETTAIBI |
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| Institution: | High Institute of Applied Sciences and Technologies of Mateur, University of Carthage, Tunisia;Department of Mathematics, College of Science, Qassim University, KSA |
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| Abstract: | In this paper, we present an explicit realization of q-deformed Calogero-Vasiliev algebra whose generators are first-order q-difference operators related to the generalized discrete q-Hermite I polynomials recently introduced in 14]. Furthermore, we construct the wave functions and we determine the q-coherent states. |
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| Keywords: | basic orthogonal polynomials quantum algebra coherent states 33D45 81R30 81R50 |
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