Darmstadt 2008 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 17: Ultrakalte Atome I [gemeinsam mit A]
Q 17.4: Talk
Tuesday, March 11, 2008, 14:45–15:00, 2F
Jost-Functions & Attractive Singular Potentials — •Florian Arnecke, Javier Madronero, and Harald Friedrich — Physik Department T30a, Technische Universität München, D-85747 Garching
We use Jost-functions to determine the leading and next-to-leading terms of the phase shifts δl(k) in the case of homogeneous attractive singular potentials −1/rα, α>2, for arbitrary angular momentum l with incoming boundary conditions at small distances. The Jost-solutions are obtained by solving a Volterra-equation and a more general ansatz is used to fit the Jost-solutions to the WKB-waves in the inner region, where the WKB-approximation is accurate. A connection between the phase shifts of attractive and repulsive homogeneous singular potentials is presented.