General recursive solution for one dimensional quantum potentials: a simple tool for applied physics
Abstract
A revision of the recursive method proposed by S.A. Shakir [Am. J.Phys. 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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