由新二项式定理导出在Schwinger玻色实现下的原子相干态的波函数

The Wave Function of the Atomic Coherent State Under the Schwinger Bose Derived by the New Binomial Theorem

用相干态表象和有序算符内的积分技术,我们导出了一个关系到含有双变量厄米多项式的二项式定理,用它可以导出在Schwinger玻色实现下的原子相干态在纠缠态表象中的波函数,并且得到一个新的算符恒等式。

By using the coherent state representation and the technique of integration within an ordered product of operators,we derive a binomial theorem containing two variable Hermite polynomial,which can be used to derive the coherent wave function in the entangled state representation of the state of the Schwinger boson realization of the atom,and a new operator identities.