SILVA, Diego Barros.; SILVA, Rômulo Rodrigues da.
Résumé:
In this paper we apply the spectral method with the inclusion of a link between the size of the
matrices and the box size L, to solving the Schrödinger equation. To test this method, we studied the
potential of simple harmonic oscillator, gravitational potential and the Poschl-Teller potential, and
compare our numerical result with the corresponding exact result. We used the software Maple 12,
which has an ideal programming language to implement the spectral method, having highperformance
routines to compute eigenvalues.