Geodesic
A~generating function for Hermite polynomials associated with Euclidean Landau levels
Teoretičeskaâ i matematičeskaâ fizika, Tome 165 (2010) no. 2, pp. 233-241

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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.
Mots-clés : Hermite polynomial
Keywords: generating function, coherent state, magnetic field, Landau level. 
@article{TMF_2010_165_2_a2,
     author = {Z. Mouyan},
     title = {A~generating function for {Hermite} polynomials associated with {Euclidean} {Landau} levels},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {233--241},
     publisher = {mathdoc},
     volume = {165},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2010_165_2_a2/}
}
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Z. Mouyan. A~generating function for Hermite polynomials associated with Euclidean Landau levels. Teoretičeskaâ i matematičeskaâ fizika, Tome 165 (2010) no. 2, pp. 233-241. http://geodesic.mathdoc.fr/item/TMF_2010_165_2_a2/