Abstract
Existence of wave operators for scattering on a line in R3 is proved. It is shown that the completeness of have operators is violated in the case of a line with periodic boundary conditions. However, the asymptotic completeness and unitary property of wave operators are preserved. Bibliography:11 titles.
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Additional information
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 186, pp. 136–141, 1990.
Translated by Ya. V. Kurylev.
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Kurylev, Y.V. Scattering on a line. I. Existence of wave operators and asymptotic completeness in the periodic case. J Math Sci 73, 385–388 (1995). https://doi.org/10.1007/BF02362825
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DOI: https://doi.org/10.1007/BF02362825