Exact solutions of the Schrödinger equation for zero energy
Universität Oldenburg, Institut für Physik, 26111 Oldenburg, Germany
Corresponding author: a email@example.com
Revised: 19 December 2008
Published online: 6 March 2009
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.
PACS: 03.65.Nk – Scattering theory / 34.20.Cf – Interatomic potentials and forces
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2009