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The Pade approximation and its physical applications

The Pade approximation, its mathematical features, and its practical and physical applications are reviewed. The author describes the present status of the convergence problem. Among the physical applications, he gives particular emphasis to elementary particle theory. He discusses various proofs of...

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Detalles Bibliográficos
Autor principal: Basdevant, J L
Lenguaje:eng
Publicado: 1972
Materias:
Acceso en línea:https://dx.doi.org/10.1002/prop.19720200502
http://cds.cern.ch/record/875644
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author Basdevant, J L
author_facet Basdevant, J L
author_sort Basdevant, J L
collection CERN
description The Pade approximation, its mathematical features, and its practical and physical applications are reviewed. The author describes the present status of the convergence problem. Among the physical applications, he gives particular emphasis to elementary particle theory. He discusses various proofs of convergence, and show why the approximation is particularly well suited for studying strong interaction dynamics. He finally reviews the various achievements of the approximation in the determination of pi pi , pi N and NN scattering amplitudes. (100 refs).
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institution Organización Europea para la Investigación Nuclear
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publishDate 1972
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spelling cern-8756442019-09-30T06:29:59Zdoi:10.1002/prop.19720200502http://cds.cern.ch/record/875644engBasdevant, J LThe Pade approximation and its physical applicationsMathematical Physics and MathematicsThe Pade approximation, its mathematical features, and its practical and physical applications are reviewed. The author describes the present status of the convergence problem. Among the physical applications, he gives particular emphasis to elementary particle theory. He discusses various proofs of convergence, and show why the approximation is particularly well suited for studying strong interaction dynamics. He finally reviews the various achievements of the approximation in the determination of pi pi , pi N and NN scattering amplitudes. (100 refs).CERN-TH-1441oai:cds.cern.ch:8756441972
spellingShingle Mathematical Physics and Mathematics
Basdevant, J L
The Pade approximation and its physical applications
title The Pade approximation and its physical applications
title_full The Pade approximation and its physical applications
title_fullStr The Pade approximation and its physical applications
title_full_unstemmed The Pade approximation and its physical applications
title_short The Pade approximation and its physical applications
title_sort pade approximation and its physical applications
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1002/prop.19720200502
http://cds.cern.ch/record/875644
work_keys_str_mv AT basdevantjl thepadeapproximationanditsphysicalapplications
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