Abstract
The Schrodinger operator with semiperiodic potential in L2(Rn), n=2,3, is studied. Incident and reflected waves in a free half-space are considered. An asymptotic expansion of the reflection matrix for a high energy region is constructed and its relationship with the potential is established. Bibliography: 7 titles.
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Additional information
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 186, pp. 107–114, 1990.
Translated by Yu. E. Karpeshina.
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Karpeshina, Y.E. Interaction of a free wave with a semicrystal. J Math Sci 73, 366–369 (1995). https://doi.org/10.1007/BF02362821
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DOI: https://doi.org/10.1007/BF02362821