Communications in Mathematical Physics

, Volume 101, Issue 2, pp 291–304 | Cite as

Truncation of continuum ambiguities in phase-shift analysis

  • D. Atkinson
  • I. S. Stefanescu


The continuum ambiguity in the determination of phase shifts from scattering data consists of a family of amplitudes which have in general an infinite number of partial waves. In practical computations, however, the partial wave series is necessarily truncated. We discuss the relation of the resulting (truncated) amplitudes to those representing the true continuum ambiguity. In particular, we show that each of the latter is approximated increasingly well, as the cut-off tends to infinity, uniformly inside an ellipse in the cosθ plane.


Neural Network Statistical Physic Complex System Phase Shift Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • D. Atkinson
    • 1
  • I. S. Stefanescu
    • 2
  1. 1.CERNGeneva 23Switzerland
  2. 2.Institut für Theoretische KernphysikKarlsruheFederal Republic of Germany

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