Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
846253 | Optik - International Journal for Light and Electron Optics | 2014 | 5 Pages |
Abstract
By virtue of operator ordering technique and the generating function of polynomials, we provide a simple and neat approach to studying operator identities and mathematical formulas regarding to two-variable Hermite polynomials, which differs from the existing mathematical ways. We not only derive some new integration formulas and summation relations about two-variable Hermite polynomial, but also draw a conclusion that two-variable Hermite polynomial excitation of two-mode squeezed vacuum state is a squeezed two-mode number state. This may open a new route of developing mathematics by virtue of the quantum mechanical representations and operator ordering technique.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Jun Zhou, Jun Song, Hao Yuan,