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Title of Journal: Sci China Phys Mech Astron

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Abbravation: Science China Physics, Mechanics and Astronomy

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SP Science China Press

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DOI

10.1002/andp.18461451111

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1869-1927

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New identities about operator Hermite polynomials

Authors: HongYi Fan HongChun Yuan NianQuan Jiang
Publish Date: 2011/10/28
Volume: 54, Issue: 12, Pages: 2145-2149
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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 the single and twovariable cases We also find a binomiallike theorem between the singlevariable Hermite polynomials and the twovariable Hermite polynomials Application of these identities in deriving new integration formulas but without really doing the integration in the usual sense is demonstrated

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