Strong Coupling Limit in Potential Theory. I
- 1 March 1967
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 8 (3), 466-472
- https://doi.org/10.1063/1.1705216
Abstract
Analytic properties of the Jost function in g, the coupling constant, are studied for potentials which are L½, i.e., , and have a negative power or exponential tail for large distances. For the bound state and scattering problems, it is found that the Jost function has exponential order ½ for large g, which implies that the scattering phase shift and the number of bound states in an attractive potential grow like |g|½ for large g. The latter result is the best possible and is a considerable improvement over earlier estimates.
Keywords
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