Finite Difference Method for Solving the Schrodinger Equation and Its Application
Zhu Xiaoxia · Journal of Changzhou Institute of Technology · 2014
The continuous eigenvalue problem of quantum mechanics can be converted into the discrete eigenvalue problem by using finite difference method,and it is very easy to achieve a target by Matlab software. In this paper,the finite difference method for solving the schrdinger equation can be tested with the problem of one dimensional infinite deep potential well,and the fence effect of potential barrier will be explored by one dimensional infinite deep potential well with potential barrier. The density of electronic states of circular quantum corral which is composed of 48 Fe adatoms positioned into a circular ring on the clean Cu surface is simulated and studied,and the sink effect of electronic states under the action of quantum corral is observed.