Theoretical and Mathematical Physics

, Volume 180, Issue 3, pp 1051–1072 | Cite as

The length and effective radius of two-dimensional scattering of a quantum particle by a centrally symmetric short-range potential

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Abstract

We derive and qualitatively analyze nonlinear and linear equations for the scattering length and effective radius. We find and investigate exact solutions of these equations in the case of a centrally symmetric rectangular potential and elucidate a relation between the effective radius and the scattering length. We are especially interested in the cases of zero and unbounded scattering lengths.

Keywords

two-dimensional scattering short-range potential scattering length effective radius 
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Copyright information

© Pleiades Publishing, Ltd. 2014

Authors and Affiliations

  1. 1.Joint Institute for Nuclear ResearchDubna, Moscow OblastRussia

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