Abstract
In this paper, the Schrödinger equation for two dimensional finite rectangular well potential has been solved numerically. The lower angular excited state wave functions and their corresponding energy eigenvalues are determined as well. These calculations are performed using the finite difference time domain method (FDTD) by taking advantage of the symmetric properties of the wave functions. Since there are no exact analytical solutions to the finite rectangular well potential, so in order to confirm the accuracy of our calculations, we studied different values of potential depths with certain value of potential area then we compared our results to the exact solutions of the infinite well potentials with the same area.