The European Physical Journal D

, Volume 53, Issue 1, pp 41–50 | Cite as

Exact solutions of the Schrödinger equation for zero energy

Atomic and Molecular Collisions


Some new exact solutions of the Schrödinger equation for zero energy are presented for certain nontrivial model potentials. Exact expressions for the different scattering lengths are derived and their differences and similarities are worked out. In particular, the respective distributions of the zeros and poles of the scattering lengths are characterized in detail.


03.65.Nk Scattering theory 34.20.Cf Interatomic potentials and forces 


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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Universität Oldenburg, Institut für PhysikOldenburgGermany

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