Introdução à teoria da perturbação com o wxMAXIMA

Abstract

Exact solutions to quantum mechanics problems can be found in only a few simple cases. In most real physical problems, the use of approximate methods is required. The perturbation theory is a set of methods that allow us to find the solution of systems that have small perturbations, from systems not disturbed, for which exact solutions are known. In order to study the perturbation theory (or another topic of the quantum mechanics), it is necessary to perform many calculations. Most of these calculations represents wasting time with algebraic manipulations that have no relation to the physical meaning of the relevant findings. The time spent on these calculations could be better employed in the understanding of the physical concepts behind the equations studied. In this paper, we propose the use of computer algebra system wxMaxima in helping to realize these calculations, saving time to be devoted to the conceptual part of the subject studied.