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. 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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Bibliographic Details
Main Authors: Morelhão,Sérgio L., Perrotta,André V.
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Física 2007
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172007000300004
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