2010•Latin American journal of physics educationRequires access

Alternative approach to solve the 1-D quantum harmonic oscillator

J. García Ravelo, A. L. Trujillo, A. Queijeiro, J. J. Peña, Departmento de Física

Abstract

In standard courses of Quantum Mechanics the harmonic oscillator is frequently resolved through of different techniques. In this paper, we introduce another didactic method to obtain its energy spectrum and wave functions by using directly the Hermite polynomials. To do this we only use arguments of general soundness.

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Key concepts: Soundness, Hermite polynomials, Harmonic oscillator, Quantum harmonic oscillator, Anharmonicity, Quantum, Quantum mechanics, Energy spectrum