Nonuniqueness of the Phase Shift in Central Scattering due to Monodromy

Holger R. Dullin and Holger Waalkens
Phys. Rev. Lett. 101, 070405 – Published 14 August 2008

Abstract

Scattering at a central potential is completely characterized by the phase shifts which are the differences in phase between outgoing scattered and unscattered partial waves. In this Letter, it is shown that, for 2D scattering at a repulsive central potential, the phase shift cannot be uniquely defined due to a topological obstruction which is similar to monodromy in bound systems.

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  • Received 19 May 2008

DOI:https://doi.org/10.1103/PhysRevLett.101.070405

©2008 American Physical Society

Authors & Affiliations

Holger R. Dullin

  • School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia

Holger Waalkens

  • Department of Mathematics, University of Groningen, 9747 AG Groningen, the Netherlands
  • School of Mathematics, University of Bristol, Bristol BS8 1TW, United Kingdom

Comments & Replies

Comment on “Nonuniqueness of the Phase Shift in Central Scattering due to Monodromy”

Johannes Eiglsperger, Martin Fink, Harald Friedrich, and Javier Madroñero
Phys. Rev. Lett. 102, 188901 (2009)

Dullin and Waalkens Reply:

Holger R. Dullin and Holger Waalkens
Phys. Rev. Lett. 102, 188902 (2009)

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Vol. 101, Iss. 7 — 15 August 2008

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