Smoothness properties of the quantum-mechanical and WKB phase shifts for two-dimensional scattering

Fink, Martin;Eiglsperger, Johannes;Friedrich, Harald;Madronero, Javier
(2009) Physical review. A, Atomic, molecular, and optical physics — Vol. 80, n° 2 (2009)

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  • Fink, Martin
    Author
  • Eiglsperger, Johannes
    Author
  • Friedrich, Harald
    Author
  • Madronero, JavierUCLouvain
    Author
Abstract
As a contribution to a current controversial discussion we show that the smoothness properties of the quantum-mechanical and the WKB phase shifts for elastic scattering by a smooth repulsive radially symmetric potential in two spatial dimensions are different.
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Fink, M., Eiglsperger, J., Friedrich, H., & Madronero, J. (2009). Smoothness properties of the quantum-mechanical and WKB phase shifts for two-dimensional scattering. Physical review. A, Atomic, molecular, and optical physics, 80(2). https://doi.org/10.1103/PhysRevA.80.024701 (Original work published 2009)