Numerov numerical method applied to the Schr\"odinger equation
Quantum Physics
2021-10-19 v1 Atomic Physics
Computational Physics
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.
Cite
@article{arxiv.1403.7092,
title = {Numerov numerical method applied to the Schr\"odinger equation},
author = {F. Caruso and V. Oguri},
journal= {arXiv preprint arXiv:1403.7092},
year = {2021}
}
Comments
in Portuguese, 13 pages, 4 figures