论文标题
连贯状态路径积分的恒星产品表示
Star product representation of coherent state path integrals
论文作者
论文摘要
在本文中，我们确定了相干路径积分的恒星产品表示。通过使用具有复杂参数的广义三角洲函数的属性，获得了与非对角线密度算子相对应的Glauber-Sudarshan P功能。然后，我们根据正常恒星产品计算时间演化运算符的Husimi-Kano Q-eprentation。最后，光学等效定理使我们能够表达一致的状态路径积分作为正常产物的哈密顿函数的星指数。
In this paper, we determine the star product representation of coherent path integrals. By employing the properties of generalized delta functions with complex arguments, the Glauber-Sudarshan P-function corresponding to a non-diagonal density operator is obtained. Then, we compute the Husimi-Kano Q-representation of the time evolution operator in terms of the normal star product. Finally, the optical equivalence theorem allows us to express the coherent state path integral as a star exponential of the Hamiltonian function for the normal product.
