14 research outputs found
General recursive solution for one dimensional quantum potentials: a simple tool for applied physics
A revision of the recursive method proposed by S.A. Shakir [Am. J.Phys.
\textbf{52}, 845 (1984)] to solve bound eigenvalues of the Schr\"odinger
equation is presented. Equations are further simplified and generalized for
computing wave functions of any given one-dimensional potential, providing
accurate solutions not only for bound states but also for scattering and
resonant states, as demonstrated here for a few examples.Comment: Final version to appear in the Brazilian Magazine of Physics Teaching
(http://www.sbfisica.org.br/noticias/publicacoes.shtml