New identities about operator Hermite polynomials and their related integration formulas
Quantum Physics
2010-12-03 v1
Abstract
By virtue of the technique of integration within an ordered product (IWOP) of operators and the bipartite entangled state representation we derive some new identities about operator Hermite polynomials in both single- and two-variable, we also find a binomial-like theorem between the single-variable Hermite polynomials and the two-variable Hermite polynomials. Application of these identities in deriving new integration formulas, but without really doing the integration in the usual sense, is demonstrated.
Cite
@article{arxiv.1012.0437,
title = {New identities about operator Hermite polynomials and their related integration formulas},
author = {Hong-Yi Fan and Hong-Chun Yuan},
journal= {arXiv preprint arXiv:1012.0437},
year = {2010}
}
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7 pages