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The Padé Approximation and its Physical Applications
Author(s) -
Basdevant J. L.
Publication year - 1972
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.19720200502
Subject(s) - mathematical proof , convergence (economics) , computer science , mathematics , calculus (dental) , approximation theory , mathematical analysis , medicine , geometry , dentistry , economics , economic growth
The Padé approximation, its mathematical features, and its practical and physical applications are reviewed. We describe the present status of the convergence problem. Among the physical applications, we give particular emphasis to elementary particle theory. We discuss various proofs of convergence, and show why the approximation is particularly well suited for studying strong interaction dynamics. We finally review the various achievements of the approximation in the determination of ππ, π N and NN scattering amplitudes.