New Differential Formulae Related to Hermite Polynomials and their Applications in Quantum Optics
Quantum Physics
2015-01-27 v1
Abstract
In this work, based on quantum operator Hermite polynomials and Weyl's mapping rule, we find a generation function of the two-variable Hermite polynomials. And then, noting that the Weyl ordering is invariant under the similar transformations, we obtain another generalized differential expression related to the Hermite polynomials. Those identites can be applied to investigate the nonclasscial properties of quantum optical fields.
Keywords
Cite
@article{arxiv.1501.06236,
title = {New Differential Formulae Related to Hermite Polynomials and their Applications in Quantum Optics},
author = {Sun Yun and Wang Dong and Wu Jian-guang and Tang Xu-bing},
journal= {arXiv preprint arXiv:1501.06236},
year = {2015}
}
Comments
12 pages,1 figure