波函数对有限深方形量子线中电子及杂质能量的影响

Effect of Wave Function to Electron and Impurity Energy in Square Quantum Well Wires With Finite Barriers

以一维线性谐振子的波函数为基展开而成的波函数作为单电子的波函数,分别讨论了单电子及类氢杂质的能量,并将所得结果与波函数取作一维有限深量子阱中波函数的乘积的情况进行了比较.结果表明:已有文献选取的波函数,在计算单电子的能量及杂质的束缚能时只在阱宽较大时适用;在计算单电子的振子强度时,带来较大误差.

The electron wave function is expressed as a combination of one-dimensional linear harmonic oscillator functions,some properties of a single electron and hydrogenic impurity have been studied.The result shows that the wave functions used previously are valid only when used for electron and impurity energy calculations in wide wells,in particular,they do not yield correct values for the oscillator strength of the single electron.