Obtaining Bounds on The Sum of Divergent Series in Physics

Details Obtaining Bounds on The Sum of Divergent Series in Physics Obtaining Bounds on The Sum of Divergent Series in Physics

2002-11-27

arxiv.org/abs/math-ph/0211064v1

Int.J.Mod.Phys. A18 (2003) 293-316

Physics

Mathematical Physics

33 pages, Journal Version

Scientific paper

10.1142/S0217751X03013764

Under certain circumstances, some of which are made explicit here, one can
deduce bounds on the full sum of a perturbation series of a physical quantity
by using a variational Borel map on the partial series. The method is
illustrated by applying it to various examples, physical and mathematical.

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