New operator identities with regard to the two-variable Hermite polynomial by virtue of en

New operator identities with regard to the two-variable Hermite polynomial by virtue of entangled

state representation

Yuan Hong-Chun;Li Heng-Mei;Xu Xue-Fen

【期刊名称】《中国物理：英文版》 【年(卷),期】2013(022)006

【摘要】By virtue of the entangled state representation we concisely derive some new operator identities with regard to the 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 the 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. 【总页数】4页(162-165) 【关键词】

【作者】Yuan Hong-Chun;Li Heng-Mei;Xu Xue-Fen

【作者单位】College of Optoelectronic Engineering, Changzhou Institute of Technology, Changzhou 213002, China;School of Science, Changzhou Institute of Technology, Changzhou 213002, China;School of Mathematics and Physics, Jiangsu Teachers University of Technology,