Systematic perturbation calculation of integrals with applications to physics

Details Systematic perturbation calculation of integrals with applications to physics Systematic perturbation calculation of integrals with applications to physics

2004-07-09

arxiv.org/abs/math-ph/0407014v1

Physical Review E 71, 016704 (2005)

Physics

Mathematical Physics

11 pages, 5 figures

Scientific paper

10.1103/PhysRevE.71.016704

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.

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