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RESUMEN OSCILADOR ARMONICO PERTURBADO

Diógenes Campos

Published Jan 1, 1993• 0 citations
OpenAlex

Abstract

An harmonic oscillator is subject to a perturbation f{A)= VJA) I p = O) (p = 01 , where I p = O) is an eigenket of the momentum operator. The Brillouin-Wigner perturbation theory is applied to solve the eigenvalue equation of the perturbed Harniltonian.

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Este trabajo tiene como objetivo estudiar y analizar, desde el punto de vista matemático, algunos de los aspectos fundamentales de unos de los sistemas físicos más importantes y que sirve como arquetipo precedente para otros más complejos: el oscilador armónico. Concretamente, nos centraremos en su versión cuántica, estudiando cómo resolver la famosa ecuación de Schrödinger en el caso del oscilador armónico cuántico mediante el método de Nikiforov y Uvarov, seguido de un análisis de otras propiedades como la completitud de las soluciones separables a la anteriormente mencionada ecuación, la caracterización de los autovalores y otras propiedades de interés.