arXiv:1012.0437 · Science China Physics Mechanics and Astronomy

New identities about operator Hermite polynomials and their related integration formulas

Hong-Yi Fan, Hong‐Chun Yuan, Nian-Quan Jiang

Published Oct 28, 2011• 5 citations

DOI: 10.1007/s11433-011-4538-z

Related papers

New Operator Identities and Integration Formulas Regarding to Hermite Polynomials Obtained via the Operator Ordering Method

Hong-Yi Fan, Wang Tong-Tong

International Journal of Theoretical PhysicsAug 11, 200810 citations

New operator-ordering identities and associative integration formulas of two-variable Hermite polynomials for constructing non-Gaussian states

Fan, Hong-Yi, Wang +1 more

中国物理B：英文版Jan 1, 20141 citation

Simple approach to deriving operator identities and mathematical formulas regarding to two-variable Hermite polynomials

Jun Zhou, Jun Song, Hao Yuan

OptikMar 1, 20141 citation

Deriving new identities of Hermite-polynomial operators and Laguerre-polynomial operators by using representation theory and operator-ordering technique

Jun Zhou, Hong-Yi Fan, Jun Song

OptikMay 31, 20126 citations

The probability representation of quantum states and integral relations for Hermite and Laguerre polynomials

Anton A. Kolesnikov, Vladimir I. Man’ko

Journal of Russian Laser ResearchNov 1, 20072 citations

New Operator Ordering Formulas Related to Hermite Polynomials Derived by Virtue of IWOP Technique

Fan Hong-Yi

By virtue of the technique of integration within an ordered product of operators and the fundamental operator identity , where is the coordinate operator and is the -order Hermite polynomials, : : is the normal ordering symbol, we not only simplify the derivation of the main properties of Hermite polynomials, but also directly derive some new operator identities regarding to . Operation for transforming is also discussed.

Communications in Theoretical PhysicsSep 15, 200413 citations