American Journal of Physics

Resolution of the Schrödinger equation through a simple algebraic technique

Francisco Marcelo Fernández, Eduardo Alberto Castro

Published Apr 1, 1984• 5 citations

Abstract

It is shown that the eigenvalues of the simple quantum-mechanical models usually studied in the first courses on Quantum Mechanics can be obtained through a very simple algebraic technique. The N-dimensional hydrogen atom, the N-dimensional isotropic harmonic oscillator, and the Morse oscillator are discussed as illustrative examples.

DOI: 10.1119/1.13665

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