The limiting potential model is considered for a spherical quantum dot with three variation parameters–the well depth, external and internal radii. The stationary s-states are computed by way of the exact solution and in the WKB approximation. If the quasiclassical conditions are met, the approximate consideration is applied for the states with l ≠ 0. As a result, the energy values of the lower bound states are presented at the fixed external and varying internal radii in the wells of various depths. The dependence of the energy gap between the levels in the well on the variation parameters is shown.

中文翻译：

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球形纳米晶体中梯形极限电位分布的量子模型

对于具有三个变化参数（阱深度，外部半径和内部半径）的球形量子点，考虑了极限势能模型。稳态s状态通过精确解和WKB近似来计算。如果满足准经典条件，则对l ≠0的状态进行近似考虑。结果，在不同深度的井中，以固定的外部半径和变化的内部半径表示下界状态的能量值。显示了井中水平之间的能隙对变化参数的依赖性。