摘要
本文从量子光学的方法来引出双变量厄密多项式,即用Fock空间中光子的产生算符和消灭算符不对易性,■,说明双变量厄密多项式的来源并用它简捷明了地表述若干基本算符的排序恒等式。我们用有序算符内的积分理论(IWOP技术)讨论双变量厄密多项式的正交性和完备性,并指出双模厄密多项式在求正规乘积算符的P-表示中的应用。
We introduce the bivariate Hermite polynomials Hmnon quantum optics theory,using■.We explain the origin of Hmnand derive some operator identities involving Hmn.By virtue of the IWOPmethod we prove the orthogonal and completeness of Hmn,and using Hmn we derive the P-representation of normal ordered operators.
作者
尹鹏程
张鹏飞
范洪义
YIN Peng-cheng;ZHANG Peng-fei;FAN Hong-yi(Department of Modern Physics,University of Science and Technology of China,Hefei,230026,China;Department of Material Science and Engineering,University of Science and Technology of China,Hefei 230026,Chin)
出处
《量子光学学报》
北大核心
2019年第3期247-251,共5页
Journal of Quantum Optics
基金
国家自然科学基金(11775208
11574295)
