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A generating function for hermite polynomials associated with euclidean Landau levels

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Abstract

We construct a generating function for the Hermite polynomials by comparing two expressions for the same coherent states associated with Landau levels in the planar problem. The first expression is found using a group theory construction, and the second expression is obtained using generalized canonical coherent states expanded as series in the basis of number states.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences and Technics (M’Ghila), Sultan Moulay Slimane University, Béni Mellal, Morocco

    Z. Mouayn

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  1. Z. Mouayn
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Correspondence to Z. Mouayn.

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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 165, No. 2, pp. 233–241, November, 2010.

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Mouayn, Z. A generating function for hermite polynomials associated with euclidean Landau levels. Theor Math Phys 165, 1435–1442 (2010). https://doi.org/10.1007/s11232-010-0119-y

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  • DOI: https://doi.org/10.1007/s11232-010-0119-y

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