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

被引：0

作者：

袁洪春 ^{[1
]}

李恒梅 ^{[2
]}

许雪芬 ^{[3
]}

机构：

[1] College of Optoelectronic Engineering,Changzhou Institute of Technology

[2] School of Science,Changzhou Institute of Technology

[3] School of Mathematics and Physics,Jiangsu Teachers University of Technology

来源：

Chinese Physics B | 2013年 / 22卷 / 06期

基金：

中国国家自然科学基金;

关键词：

two-variable Hermite polynomial; entangled state representation; operator identities;

D O I：

暂无

中图分类号：

O413.1 [量子力学（波动力学、矩阵力学）]; O174.14 [多项式理论];

学科分类号：

070104 ; 070205 ; 0809 ;

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.

引用

页码：166 / 169

页数：4