The stationary Schrödinger equation is usually solved numerically using the finite difference method and shooting method in the coordinate space.This paper employs the Fourier transform to numerically solve the sta-tionary Schrödinger equation in the momentum space,the solving speed is greatly improved by using the fast Fourier transform algorithm,and the corresponding MATLAB numerical codes were developed.By comparing with the ana-lytic solutions of the eigenvalues and eigenfunctions of the one-dimensional harmonic oscillator,the reliability of the method and the correctness of the codes are verified,which provides an efficient numerical algorithm for solving the stationary Schrödinger equation.
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