Systematic perturbation calculation of integrals with applications to physics
Mathematical Physics
2009-11-10 v1 math.MP
Abstract
In this paper we generalize and improve a method for calculating the period of a classical oscillator and other integrals of physical interest, which was recently developed by some of the authors. We derive analytical expressions that prove to be more accurate than those commonly found in the literature, and test the convergence of the series produced by the approach.
Cite
@article{arxiv.math-ph/0407014,
title = {Systematic perturbation calculation of integrals with applications to physics},
author = {Paolo Amore and Alfredo Aranda and Francisco M. Fernandez and Ricardo A. Saenz},
journal= {arXiv preprint arXiv:math-ph/0407014},
year = {2009}
}
Comments
11 pages, 5 figures