Upper and lower bounds on scattering lengths
- 1 January 1970
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 3 (1) , 1-7
- https://doi.org/10.1088/0305-4470/3/1/001
Abstract
Upper and lower bounds on scattering lengths for static potentials are presented. Their derivation is based on complementary variational principles for a certain class of linear operator equations. The well-known bounds of Schwinger and of Spruch and Rosenburg are obtained from this approach together with related complementary bounds, some of which are new. The results are illustrated with calculations for screened Coulomb potentials.Keywords
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