On the extrapolation of perturbation series
arXiv:physics/0212086 · doi:10.1023/A:1006493830706
Abstract
We discuss certain special cases of algebraic approximants that are given as zeroes of so-called "effective characteristic polynomials" and their generalization to a multiseries setting. These approximants are useful for the convergence acceleration or summation of quantum mechanical perturbation series. Examples will be given and some properties will be discussed.
16 pages, requires kluwer.cls, Talk presented at the International Conference on Rational Approximation (ICRA99), Antwerpen, Belgium, 1999