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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1973 Volume 16, Number 1, Pages 105–115 (Mi tmf3740)

This article is cited in 9 papers

On the one-dimensional scattering of plane waves on an arbitrary potential $q$, $q(x)=0$, $x<0$

B. S. Pavlov


Abstract: The scattering problem is solved for a wave equation on the axis $(-\infty,\infty)$ with nonnegative potential $q$, $q(x)=0$, $x<0$. It is shown that the, in general, nonunitary reflection coefficient is equal to the diagonal element of the complete (unitary) $S$ matrix.

Received: 10.04.1972


 English version:
Theoretical and Mathematical Physics, 1973, 16:1, 706–713

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© Steklov Math. Inst. of RAS, 2026