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arXiv · 1403.7092

Numerov numerical method applied to the Schr\"odinger equation

F. Caruso·V. Oguri
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Abstract

In this paper it is shown how to solve numerically eigenvalue problems associated to second order linear ordinary differential equations, containing also terms which depend on the variable. A didactic presentation of the Numerov Method is given and, in the sequel, it is applied to two quantum non-relativistic problems with well known analytical solutions: the simple harmonic oscillator and the hydrogen atom. The numerical results are compared to those obtained analytically.

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F. Caruso, V. Oguri. 2014-03-17. Numerov numerical method applied to the Schr\"odinger equation. https://doi.org/10.1590/s1806-11172014000200010

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