Obtaining bounds on the sum of divergent series in physics

被引：4

作者：

Parwani, RR ^{[1
]}

机构：

[1] Natl Univ Singapore, Univ Scholars Programme, Singapore 119260, Singapore

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2003年 / 18卷 / 02期

关键词：

borel resummation; perturbation series; conformal map; variational principle;

D O I：

10.1142/S0217751X03013764

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

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.

引用

页码：293 / 316

页数：24

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