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Numerov numerical method applied to the Schr\'odinger equation

Authors :
Caruso, F.
Oguri, V.
Source :
Revista Brasileira de Ensino de Fisica, v. 36, n. 2, a.n. 2310 (2014)
Publication Year :
2014

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.<br />Comment: in Portuguese, 13 pages, 4 figures

Details

Language :
Portuguese
Database :
arXiv
Journal :
Revista Brasileira de Ensino de Fisica, v. 36, n. 2, a.n. 2310 (2014)
Publication Type :
Report
Accession number :
edsarx.1403.7092
Document Type :
Working Paper
Full Text :
https://doi.org/10.1590/S1806-11172014000200010