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Approximate solution of bound state problems through continued fractions

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Zeitschrift für Physik A Atoms and Nuclei

Abstract

A method to solve ordinary linear differential equations through continued fractions is applied to several physical systems. In particular, results for the Schrödinger equation give a good accuracy for the eigenvalues of bound states in theS-wave Yukawa potential, and the lowest order approximations provide exact-values for the harmonic oscillator and Coulomb potential eigenvalues and eigenfunctions.

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Authors and Affiliations

  1. Departamento de Física, Facultad de Ciencias Exactas e Ingeniería, Universidad Nacional de Rosario, Argentina

    C. R. Garibotti & J. A. Mignaco

Authors
  1. C. R. Garibotti
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  2. J. A. Mignaco
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Consejo de Investigaciones de la U.N.R.

Consejo Nacional de Investigaciones Cientificas y Técnicas.

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Garibotti, C.R., Mignaco, J.A. Approximate solution of bound state problems through continued fractions. Z Physik A 274, 33–39 (1975). https://doi.org/10.1007/BF01421033

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  • DOI: https://doi.org/10.1007/BF01421033

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