Approximate solution of bound state problems through continued fractions |
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| Authors: | C. R. Garibotti J. A. Mignaco |
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| Affiliation: | 1. Departamento de Física, Facultad de Ciencias Exactas e Ingeniería, Universidad Nacional de Rosario, Argentina
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| 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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