利用分离变量法对二维以及三维无限深环形势阱的薛定谔方程求解，径向方向波函数的本征值由贝塞尔函数的交叉乘积组合零点确定. 对于三维的情况，可以求得基态波函数的解析解，而激发态的波函数则由数值方法给出其径向的概率密度分布. 对于二维的无限深环形势阱，基态以及激发态的径向概率密度分布均通过数值方法给出.

The Schrodinger equation of two-dimensional and three-dimensional infinite deep annular potential wells is solved by the method of separating variables. The eigenvalue of the radial wave function is determined by the zero point of the cross product combination of the Bessel function. For the three-dimensional case, the analyticalsolution of the ground state wave function can be obtained. For the excited state wave function, the radial probability density distribution is given by numerical method. For the two-dimensional infinite deep annular potential well, the radial probability density distributions of ground state and excited state are given by numerical method.