Numerical technique for the inverse resonance problem
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Motivated by the work of Regge (Nuovo Cimento 8 (1958) 671; 9 (1958) 491) we are interested in the problem of recovering a radial potential in ℝ3 from its resonance parameters, which are zeros of the appropriately defined Jost function. For a potential of compact support these may in turn be identified as the complex eigenvalues of a nonselfadjoint Sturm-Liouville problem with an eigenparameter dependent boundary condition. In this paper we propose and study a particular computational technique for this problem, based on a moment problem for a function g(t) which is related to the boundary values of the corresponding Gelfand-Levitan kernel. © 2004 Elsevier B.V. All rights reserved.
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