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

Sérgio L. Morelhão·André V. Perrotta
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Abstract

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.

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Sérgio L. Morelhão, André V. Perrotta. 2007-05-15. General recursive solution for one dimensional quantum potentials: a simple tool for applied physics. https://arxiv.org/abs/quant-ph/0605115

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