Two-dimensional scattering: The number of bound states from scattering data
- 1 May 1984
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 25 (5) , 1449-1455
- https://doi.org/10.1063/1.526314
Abstract
Relations are found between scattering data and the spectrum for the two‐dimensional Schrödinger operator Δ+V(x), where V is a local noncentral potential. In particular, a two‐dimensional version of the Levinson theorem is obtained; this theorem gives the number of bound states in terms of the change in phase of the determinant of the scattering operator.Keywords
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