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Some mathematical problems in inverse potential scattering. (English) Zbl 0648.35065
Sémin., Équations Dériv. Partielles 1986-1987, Exp. No. 20, 6 p. (1987).
The Schrödinger operator $$H_ v=-\Delta +v(x)$$ in odd dimensions is considered. Precise information about intertwining operators for the pair $$H_ v,H_ 0$$, i.e. $$AH_ 0=H_ vA$$ is obtained. This technical result is used to extend to higher (odd) dimensions and small potentials, the author’s approach to inverse scattering in one dimension. There are no proofs.
Reviewer: G.Nencin
##### MSC:
 35P25 Scattering theory for PDEs 35J10 Schrödinger operator, Schrödinger equation 35R30 Inverse problems for PDEs
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