An approach to ladder operators for the two-dimensional harmonic oscillator

Abstract

We show that elementary properties of associated Laguerre polynomials generatethe ladder operators for the harmonic oscillator radial wave function in two dimensions.Keywords: Harmonic oscillator, ladder operators, Laguerre polynomials.

Demostramos que propiedades elementales de polinomios de Laguerre generan operadoresescalera para la funci´on de onda del oscilador radial arm´onico en dos dimensiones.Palabras clave: Oscilador arm´onico, operadores escalera, polinomios de Laguerre.