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.
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页码：293 / 316
页数：24
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