Applications of the Numerov method to simple quantum systems using Python
Francisco Caruso, Vitor Oguri, Felipe Silveira · LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) · 2022
Numerov's numerical method is developed in a didactic way by using Python in its {\it Jupyter Notebook} version 6.0.3 for three different quantum physical systems: the hydrogen atom, a molecule governed by the Morse potential and for a quantum dot. After a brief introduction to the Numerov method, the complete code to calculate the eigenfunctions and eigenvalues of the hydrogen atom is presented. The necessary code changes to calculate the other two examples are also provided in the sequel.