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

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

2006-05-15

arxiv.org/abs/quant-ph/0605115v2

Physics

Quantum Physics

Final version to appear in the Brazilian Magazine of Physics Teaching (http://www.sbfisica.org.br/noticias/publicacoes.shtml)

Scientific paper

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.

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