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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 165, Number 2, Pages 233–241
DOI: https://doi.org/10.4213/tmf6573 (Mi tmf6573) 		 
This article is cited in 3 scientific papers (total in 3 papers)

A generating function for Hermite polynomials associated with Euclidean Landau levels

Z. Mouyan

Department of Mathematics, Faculty of Sciences and Technics (M'Ghila), Sultan Moulay Slimane University, B'{e}ni Mellal, Morocco
Full-text PDF (409 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf6573
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.
Keywords: Hermite polynomial, generating function, coherent state, magnetic field, Landau level.
Received: 09.11.2009
Revised: 22.02.2010
English version:
Theoretical and Mathematical Physics, 2010, Volume 165, Issue 2, Pages 1435–1442
DOI: https://doi.org/10.1007/s11232-010-0119-y
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Z. Mouyan, “A generating function for Hermite polynomials associated with Euclidean Landau levels”, TMF, 165:2 (2010), 233–241; Theoret. and Math. Phys., 165:2 (2010), 1435–1442
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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