在非对易相空间研究带电粒子的轨道角动量,先通过一个变换矩阵将坐标算符转换成粒子数空间的产生湮灭算符,再利用对角化的方法求得相应的本征值.结果显示在非对易相空间下其本征值出现0点值,并得到这个值与非对易参数的关系.
In order to discuss the orbit angular momentum of the charged particle in noncommutative phase-space,the coordinate operators can be transformed into the annihilation and creation operators through a transformation matrix firstly.And then obtain the corresponding eigenvalues with the method of diagonalization.The result shows that there exists the zero-point angular momentum which is affected by the noncommutative parameters.