类氢施主杂质量子环能级和束缚能的B样条计算

利用B样条技术计算类氢施主杂质量子环能级和束缚能的量子尺寸效应．计算结果表明：量子环的能级E1随着抛物势ωh的增加而增大．E1-R0曲线存在极小值，极小值的位置r00随着ωh的增加而减小．束缚能Eb随着量子环半径r0的增加而单调快速地下降．在r0〈60nm区域，E1和Eb的量子尺寸效应很明显．在r0〉60nm区域，E1和Eb的量子尺寸效应不明显；在r0〈70nm区域，随着角动量m。从0增加到3，E1-r0和Eb—r0曲线的斜率发生剧烈的变化，E1的极小值的位置r00随着mc的增加而快速增大．在r0〉80nm区域，E1-r0和Eb-r0曲线分别会聚成一条线，E1和Eb不依赖于mc值的变化而变化；随着施主杂质的电荷增大，能级E1快速下降，E1-r0曲线的极小值的位置r00明显减小．库仑能不可以作为微扰项来处理．

Calculation of Energy and Binding Energy of Hydrogen-like Donor Impurity Quantum Ring with B-spline Technique

The size-dependent effect of energy and binding energy of hydrogen-like donor impurity quantum ring are calculated with B-spline technique. The calculated results show： the energy E1 of quantum ring increases with parabolic confinement potential ωh. E1-r0 curve has a minimum position r00, which decreases as ωh increasing. The binding energy Eb decreases monotonously and fast as ro increasing. Size-dependent effect of E1 and Eb is clear at ro 〈60 nm, but not clear at ro 〉60 nm; when angular momentum mt increases from zero to 3, the slope of E1-ro and E1-r0 curves change acutely, and the minimum position r00 of E1-r0 curve increases quickly at r0〈70 nm. The E1-r0 curves and the Eb-r0 curves converge to a line respectively at, and Eb do not depend on the mt at r0 〉80 nm; the E1 and the minimum position r00 of E1-r0 curve decreases clearly when electric charge of the donor impurity increases; Coulomb energy cannot be taken as a perturbation term.