等腰直角三角柱形量子点的能级结构和波函数

Energy structures and wave—functions of the isosceles right triangular quantum dots

采用分离变量法和无限深势阱模型求解了等腰直角三角柱形量子点的能级结构和波函数.给出了能级结构和波函数的表达式,并绘制了前几个本征波函数的等值线.对直角边长5 nm,高度5 nm的等腰直角三角柱形量子点,其能级的最小值为E=0.09209 eV.结论可以用于量子计算或量子通信中,如使用一个截面为正方形的柱形结构来存储两个或四个量子信息.也可以用于导波光学中,如用一个正方形的导波结构传输两路或四路光信号.

The energy levels and wave-functions of the isosceles right triangular quantum dots are studied with the variable separation approach and infinite-potential model. The expressions of the energy levels and wave-functions are presented. And the isolines of some pre-orderly eigenfunctions are plotted. For the isosceles right triangular quantum dots with right angle length of side in 5nm and height in 5 nm, the least energy level of electron is 0.09209 eV. These results may be useful to the quantum computing and communication, for example, as a structure with square section to save two or four quantum dots. Also they can be used to the guided wave optics, e. g. , as a square optical fibre to transfer two way or four way optical signals.