A generating function for Hermite polynomials in connection with Euclidean Landau levels
Mathematical Physics
2015-05-18 v1 math.MP
Representation Theory
Abstract
We have formulated a generating function for the Hermite polynomials by comparing two expressions of the same coherent states attached to planar Landau levels. A first expression is obtained by generalizing the canonical coherent states when written as series expansion in the basis of number states. While the second expression is established by following a construction based on group representation theory.
Cite
@article{arxiv.1004.1052,
title = {A generating function for Hermite polynomials in connection with Euclidean Landau levels},
author = {Zouhair Mouayn},
journal= {arXiv preprint arXiv:1004.1052},
year = {2015}
}
Comments
11 pages, submitted