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

Sérgio L. Molherão, André V. Perrotta

Research output: Contribution to journalArticlepeer-review

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.
Translated title of the contributionSolução recursiva geral para potenciais quânticos unidimensionais: uma ferramenta simples para física aplicada
Original languageEnglish
JournalRevista Brasileira de Ensino de Física
Publication statusPublished - 2007
Externally publishedYes

Keywords

  • One-dimensional quantum potentials
  • numerical solutions
  • computational methods
  • Schrödinger equation

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