The Padé Approximation and its Physical Applications

1972/01/01 by J. L. Basdevant, Jean-Louis Basdevant · 6 citations
Mathematics · Physics and Astronomy · #Mathematical functions and polynomials #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics

paper · doi:10.1002/prop.19720200502

Abstract

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, π N and NN scattering amplitudes.

Cited by

• Approximating Feynman Integrals Using Complete Monotonicity and Stieltjes Properties
• Renormalisation
• Unitarization Technics in Hadron Physics with Historical Remarks
• Wave-packet continuum discretisation for nucleon–nucleon scattering predictions
• Analysis of the Pion Electromagnetic Form Factor with Next-to-Next-to-Leading Order QCD Corrections
• Global organization of neuronal activity only requires unstructured local connectivity. [europepmc]

Related

• Padé approximants and the prediction of non-perturbative parameters in particle physics
• Pade approximation to fixed order QCD calculations
• Pade Theory and Phenomenology of Resonance Poles
• Pade Approximants and Borel Summation for QCD Perturbation Expansions
• Assessing the role of threshold conditions in the determination of uncertainties in pole extractions using Padé approximants