杂质对方形量子点基态能和束缚能的影响

用有限差分法求解了二维方形量子点中有 杂质时的量子体系，得到了离散薛定谔方程。对体系中电子处于基态时的能量和杂质的束缚能进行了数值计算，讨论了不同间距的杂质离子对不同尺寸量子点中电子的基态能量和束缚能的影响。计算结果表明：量子点中电子基态能量是杂质位置和量子点尺度的函数；基态能量随着量子点尺度的增加先急剧减小后缓慢增大，最后趋于定值；杂质对电子的束缚能随着量子点尺度的增加而减小；杂质间距越小对量子点基态能影响越大。

Effects of impurity on ground state energy and binding energy of square quantum dots

The quantum system with impurity in two-dimensional square quantum dots is solved by using finite difference method, and discrete Schrodinger equation is obtained. The energy of electrons in ground state in the system and binding energy of impurity are calculated numerically. The effects of impurity ions with different spacing on the ground state energy and binding energy of electrons in different sizes of quantum dots are discussed. Calculation results show that the electron ground state energy in quantum dots is a function of the impurity position and quantum dot size. The ground state energy decreases rapidly and then increases slowly with increasing of quantum dot size, and it tends to a fixed value finally. The binding energy of impurity to electron decreases with increasing of quantum dot size. The smaller the impurity spacing is, the greater the influence of the quantum dot ground state energy will be.