Canterbury approximants in potential scattering
- 21 October 1975
- journal article
- Published by IOP Publishing in Journal of Physics G: Nuclear Physics
- Vol. 1 (8) , 805-814
- https://doi.org/10.1088/0305-4616/1/8/004
Abstract
The two variable rational approximant schemes devised in Canterbury are shown, by examples, to be quite satisfactory for obtaining amplitudes from a two variable Neumann-Born series. The (N+1/N) and (N/N) are markedly the best approximants in this context, and attention is drawn to the numerical accuracy in the Neumann-Born series coefficients which is essential in conjunction with Pade-type approximants.Keywords
This publication has 16 references indexed in Scilit:
- Generalizations of the theorem of de Montessus to two-variable approximantsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1975
- Some Properties of Chisholm ApproximantsIMA Journal of Applied Mathematics, 1974
- Rational approximants defined from power series in N variablesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1974
- Rational approximants defined from double power seriesMathematics of Computation, 1973
- Pion-Pion Dynamics in theσModelPhysical Review D, 1970
- Padé approximants for a Yukawa potentialNuclear Physics B, 1969
- Padé approximation and bound states: Exponential potentialNuclear Physics B, 1969
- Pade approximation in the σ model unitary ππ amplitudes with the current algebra constraintsPhysics Letters B, 1969
- An investigation of the applicability of the Padé approximant methodJournal of Mathematical Analysis and Applications, 1961
- The axial vector current in beta decayIl Nuovo Cimento (1869-1876), 1960