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Determination of a finite-range potential from discrete phase-shift data by inverse scattering

T S Lo1, S S M Wong2 and K Young1

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A practical method of inverse scattering is proposed to determine a finite-range scattering potential from phase-shift data evaluated at a set of discrete energies. By using the asymptotic behaviour of the phase shifts and the connection between short- and long-wavelength scales, a relatively few input data are found to be adequate. The method works well for repulsive and moderately attractive potentials, useful in many applications.


PACS

03.65.Nk Scattering theory

02.30.Sa Functional analysis

02.30.Zz Inverse problems

MSC

81U40 Inverse scattering problems

Subjects

Mathematical physics

Quantum information and quantum mechanics

Dates

Issue 40 (8 October 2004)

Received 28 April 2004

Published 22 September 2004



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