Entangled state representation for deriving new operator identities regarding to two-variable Hermite polynomial
Year: 2010
Type: preprint
Abstract: In this paper, by virtue of the entangled state representation we concisely derive some new operator identities regarding to two-variable Hermite polynomial (TVHP). By them and the technique of integration within an ordered product (IWOP) of operators we further derive new generating function formulas of TVHP. They are useful in quantum optical theoretical calculations. It is seen from this work that by combining the IWOP technique and quantum mechanical representations one can derive some new integration formulas even without really performing the integration.
Source: arXiv (Cornell University)
Authors: Fan, Hong-yi, Yuan, Hong-chun
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W104474203