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- W2741577324 abstract "In the present paper, we consider the semiclassical transition in the Marchenko method for the simplest case - s-wave scattering by a monotonic repulsive potential. We show that the Marchenko linear integral equation for the kernel K(r, r' ) of the transformation operator I~ usually employed in the exact solution of the inverse problem cannot be reduced in the limit to any relationship between classical or semiclassical physical quantities, the reason for this being that K(r, r') is determined by the below-barrier region and is exponentially large. Instead of the linear equation for K(r, r' ), we use on the transition in this paper to the semiclassical limit the equivalent nonlinear equation for the kernel L(r, r') of the inverse operator L of the transformation; this last is related to I~ by" @default.
- W2741577324 created "2017-08-08" @default.
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- W2741577324 date "1985-01-01" @default.
- W2741577324 modified "2023-09-27" @default.
- W2741577324 title "METHOD IN THE SEMICLASSICAL LIMIT" @default.
- W2741577324 hasPublicationYear "1985" @default.
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