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利用变分法计算了矩形量子线和量子阱中类氢杂质束缚能的度规法则和维里定理值 .计算结果表明 :的确存在一个参数 (杂质有效玻尔半径 )可用来完全确定束缚能的值 ,而不必考虑截面的形状和尺寸 ;体系的维里定理值并不等于常数 ,而是随杂质有效玻尔半径变化 ,在阱宽较小和较大时 ,维里定理值都趋于 2 .
The variational method was used to calculate the rules of law and the Verizier’s theorem for the binding energies of hydrogen-like impurities in the rectangular quantum wires and quantum wells. The calculation results show that there is indeed a parameter (effective Bohr radius of impurities) that can be used to completely determine the binding energy Value without regard to the shape and size of the cross section. The Virial theorem value of the system is not equal to the constant, but varies with the effective Bohr radius of the impurity. When the well width is small and large, the Virial theorem tends to 2 .