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Numerov numerical method applied to the Schr\'odinger equation
- 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
- Subjects :
- Quantum Physics
Physics - Atomic Physics
Physics - Computational Physics
Subjects
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