In 2d polar coordinates, the exact solution to the Schrdinger equation was used to calculate the perturbation integral in a parabolic confinement potential.
受限势采用抛物形势，在二维平面极坐标下，用薛定谔方程的精确解析解进行计算。
The numerical results show that the energy levels of electron are sensitively dependent on the radius of the quantum ring and a minimum exists on account of the parabolic confinement potential.
数值计算结果显示，电子能级敏感地依赖于量子环半径，能级存在极小值，这是由于限制势采用抛物势的结果。
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