Inverse scattering problem of quantum theory
The properties of the symmetric kernel f(r,r') appearing in the analysis of the inverse problem at fixed energy were previously obtained by one of the authors, who used a special method. They are derived here in a slightly more general form from the results obtained by Regge and Loeffel, who applied the Gel'fand-Levitan method. Hence there is now a link between the Gel'fand-Levitan procedure, which is of general use in inverse problems. and the fundamental properties which made possible the complete solution of the inverse problem at fixed energy, although those properties were previously obtained by a completely different analysis. Besides, the present approach enables one to get rid of properties of differentiability of the potential, which were used in the former analysis, and are not justified by physical constraints. (auth)
- Research Organization:
- Universite des Sciences et Techniques du Languedoc, Montpellier, France
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-29-003629
- OSTI ID:
- 4399934
- Journal Information:
- Nuovo Cim., A, v. 18A, no. 1, pp. 105-150, Other Information: Orig. Receipt Date: 30-JUN-74
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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