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

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.

Main Authors: López Bonilla, José, Cruz Beltrán, L.
Format: Artículo
Language: Español
Published: 2015
Online Access: http://revistas.ucr.ac.cr/index.php/matematica/article/view/291
http://hdl.handle.net/10669/12941
Summary: 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.