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(Reference retrieved automatically from SciELO through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Sérgio L. Morelhão [1] ; André V. Perrotta [2]
Total Authors: 2
Affiliation:
[1] Universidade de São Paulo. Instituto de Física - Brasil
[2] Universidade de São Paulo. Instituto de Física - Brasil
Total Affiliations: 2
Document type: Journal article
Source: Revista Brasileira de Ensino de Física; v. 29, n. 3, p. 331-339, 2007-00-00.
Abstract

A revision of the recursive method proposed by S.A. Shakir [Am. J. Phys. 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. (AU)