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

共 50 条

[41] Euler and Divergent Series
Kowalenko, Victor
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2011, 4 (04): : 370 - 423
[42] A NOTE ON DIVERGENT SERIES
PETERSEN, GM
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1952, 4 (04): : 445 - 454
[43] On absolutely divergent series
Fuchino, S
Mildenberger, H
Shelah, S
Vojtás, P
FUNDAMENTA MATHEMATICAE, 1999, 160 (03) : 255 - 268
[44] CONVERGENT AND DIVERGENT SERIES
ERDOS, P
JOHNSONBAUGH, R
EMERSON, W
KOMLOS, J
MIER, A
MATICS, LE
SHAPIRO, H
SKAGGS, W
UNGAR, P
AMERICAN MATHEMATICAL MONTHLY, 1978, 85 (03): : 200 - 201
[45] Divergent Laguerre series
Stempak, K
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 129 (04) : 1123 - 1126
[46] Operators and divergent series
Stone, R
PACIFIC JOURNAL OF MATHEMATICS, 2004, 217 (02) : 331 - 374
[47] Divergent perturbation series
Suslov, IM
JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2005, 100 (06) : 1188 - 1233
[48] ON SUBSERIES OF DIVERGENT SERIES
CURTISS, JH
AMERICAN MATHEMATICAL MONTHLY, 1964, 71 (07): : 767 - &
[49] Related divergent series
Schilling, K
AMERICAN MATHEMATICAL MONTHLY, 2006, 113 (06): : 569 - 571
[50] Divergent perturbation series
I. M. Suslov
Journal of Experimental and Theoretical Physics, 2005, 100 : 1188 - 1233

← 1 2 3 4 5 →