Phys. Rev. A 72, 032712 (2005) [7 pages]

Scattering theory for arbitrary potentials

Abstract

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A. S. Kadyrov^1,*, I. Bray^1,†, A. M. Mukhamedzhanov^2,‡, and A. T. Stelbovics^1,§
¹Centre for Atomic, Molecular and Surface Physics, Division of Science and Engineering, Murdoch University, Perth 6150, Australia
²Cyclotron Institute, Texas A&M University, College Station, Texas 77843, USA

Received 24 May 2005; published 13 September 2005

The fundamental quantities of potential scattering theory are generalized to accommodate long-range interactions. Definitions for the scattering amplitude and wave operators valid for arbitrary interactions including potentials with a Coulomb tail are presented. It is shown that for the Coulomb potential the generalized amplitude gives the physical on-shell amplitude without recourse to a renormalization procedure.

URL:

http://link.aps.org/doi/10.1103/PhysRevA.72.032712

DOI:

10.1103/PhysRevA.72.032712

PACS:

03.65.Nk, 03.65.−w, 21.45.+v, 34.10.+x

^*Electronic address: A.Kadyrov@murdoch.edu.au

^†Electronic address: I.Bray@murdoch.edu.au

^‡Electronic address: Akram@comp.tamu.edu

^§Electronic address: A.Stelbovics@murdoch.edu.au

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Phys. Rev. A 72, 032712 (2005) [7 pages]

Scattering theory for arbitrary potentials