Abstract
We present accurate numerical results for the one-dimensional stationary Schrodinger equation in the case of three quantum problems: quantum harmonic oscillator, radial Schrodinger equation for a Hydrogen atom, and a particle penetration through the potential barrier. All of them were solved by the Numerov method with high accuracy and we plot their wave functions using the results of numerical calculations. Furthermore, we offer accurate numerical methods for solving boundary value problems, eigenvalue problems, matrix elimination.
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