General recursive solution for one dimensional quantum potentials: a simple tool for applied physics

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A revision of the recursive method proposed by S.A. Shakir [Am. J.Phys. \textbf{52}, 845 (1984)] to solve bound eigenvalues of the Schrödinger 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.
Final version to appear in the Brazilian Magazine of Physics Teaching (http://www.sbfisica.org.br/noticias/publicacoes.shtml)

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Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/128943

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/quant-ph/0605115
 http://arxiv.org/abs/quant-ph/0605115

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arXiv