An approach to ladder operators for the two-dimensional harmonic oscillator
An approach to ladder operators for the two-dimensional harmonic oscillator
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Date
2009-02-25Author
López Bonilla, José
Cruz Beltrán, L.
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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.