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ON THE INVERSE RESONANCE PROBLEM

Published online by Cambridge University Press:  25 September 2003

B. M. BROWN ,
I. KNOWLES  and
R. WEIKARD
B. M. BROWN
Affiliation:
Department of Computer Science, University of Wales, Cardiff CF2 3XF [email protected]
I. KNOWLES
Affiliation:
Department of Mathematics, University of Alabama, Birmingham, AL 35294-1170, [email protected]
R. WEIKARD
Affiliation:
Department of Mathematics, University of Alabama, Birmingham, AL 35294-1170, [email protected]
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Abstract

A new technique is presented which gives conditions under which perturbations of certain base potentials are uniquely determined from the location of eigenvalues and resonances in the context of a Schrödinger operator on a half line. The method extends to complex-valued potentials and certain potentials whose first moment is not integrable.Research supported in part by the US National Science Foundation under grants DMS-9970299 and DMS-0107492 and by the UK EPSRC.

Keywords

34A55 (primary)81U40 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 68 , Issue 2 , October 2003 , pp. 383 - 401
Copyright
The London Mathematical Society 2003

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