Punctual Pade approximants as a regularization procedure for divergent and oscillatory partial wave expansions of the scattering amplitude
Journal Article
·
· J. Math. Phys. (N.Y.); (United States)
Previous theorems on the convergence of the (n,n+m) punctual Pade approximants to the scattering amplitude are extended. The new proofs include the cases of nonforward and backward scattering corresponding to potentials having 1/r and 1/r/sup 2/ long-range behaviors, for which the partial wave expansions are divergent and oscillatory, respectively. In this way, the ability of the approximation scheme as a summation method is established for all of the long-range potentials of interest in potential scattering.
- Research Organization:
- Instituto de Fisica Teorica, Rua Pamplona, 145 Caixa Postal 5956-01405 Sao Paulo, Brasil
- OSTI ID:
- 6636969
- Journal Information:
- J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 19:12; ISSN JMAPA
- Country of Publication:
- United States
- Language:
- English
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