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Self-similar extrapolation from weak to strong coupling

Authors :
Gluzman, S.
Yukalov, V. I.
Source :
J. Math. Chem. 48 (2010) 883-913
Publication Year :
2010

Abstract

The problem is addressed of defining the values of functions, whose variables tend to infinity, from the knowledge of these functions at asymptotically small variables close to zero. For this purpose, the extrapolation by means of different types of self-similar approximants is employed. Two new variants of such an extrapolation are suggested. The methods are illustrated by several examples of systems typical of chemical physics, statistical physics, and quantum physics. The developed methods make it possible to find good approximations for the strong-coupling limits from the knowledge of the weak-coupling expansions.<br />Comment: latex file, 28 pages

Details

Database :
arXiv
Journal :
J. Math. Chem. 48 (2010) 883-913
Publication Type :
Report
Accession number :
edsarx.1010.0563
Document Type :
Working Paper