The Padé Approximation and its Physical Applications
- 1 January 1972
- journal article
- research article
- Published by Wiley in Fortschritte der Physik
- Vol. 20 (5) , 283-331
- https://doi.org/10.1002/prop.19720200502
Abstract
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, πN and NN scattering amplitudes.Keywords
This publication has 87 references indexed in Scilit:
- Padé method in singular potentialsIl Nuovo Cimento A (1971-1996), 1970
- Crossing restrictions on ππ partial wavesIl Nuovo Cimento A (1971-1996), 1970
- On the problem of the bound states in the framework of the Padé approximantsIl Nuovo Cimento A (1971-1996), 1969
- Construction of a crossing-simmetric, Regge-behaved amplitude for linearly rising trajectoriesIl Nuovo Cimento A (1971-1996), 1968
- Simultaneous "Partial-Wave" Expansion in the Mandelstam Variables: Crossing Symmetry for Partial WavesPhysical Review B, 1968
- Reaction Amplitudes for Pseudoscalar Mesons on Spin-½ Fermions in Fourth-Order Perturbation TheoryPhysical Review B, 1968
- Padé-Approximant Calculation ofScatteringPhysical Review B, 1967
- Application of the Padé Approximant to Scattering TheoryPhysical Review B, 1966
- On the Existence of Solutions of the Pion-Pion Dispersion Equations — IIl Nuovo Cimento (1869-1876), 1961
- Nucleon-Nucleon Scattering Experiments and Their Phenomenological AnalysisAnnual Review of Nuclear Science, 1960