有限深对称方势阱中粒子能级的数值解

The Numerical Solution of the Particle Energy Level in the Limited Deep Symmetrical side Potential Well

使用图解法和数值计算法,分析运动粒子的能级和简并情况、求解相应能级的本征值.通过理论建立超越方程组,使用计算机辅助绘图,依据图像分析运动粒子的能级无简并.从图像上粗略估计其解并通过数值法求解,根据E1=-22η21/ma2可以求出运动粒子的能量本征值.

This article uses the graphic method and the numerical method. Analyzing movement granule＇s energy level hasn＇t the degeneration, and solving energy eigenvalue of corresponding energy level. Setting up surmounting equation by theory and ploting figure by computer, ana- lyzing movement granule＇s energy level hasn＇t degeneration. Then from figure rough estimate its solution, through numerical method gain solutionr, according to E1=-2h^2η1^2/ma^2 may get the movement granule＇s extract energy eigenvalue.