On the description of classical reflectionless potentials |
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Authors: | N.G. Khimchenko Ya.G. Sinai |
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Affiliation: | L.D. Landau Institute for Theoretical Physics, Academy of Sciences, Moscow, U.S.S.R. |
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Abstract: | A repulsive potential is called reflectionless in the case of classical mechanics if limit velocities of one-dimensional particles as t → ∞ arise from the analogous velocities as t → ? ∞ by changing order. The class reflectionless potentials is investigated inside the classes of potentials with the finite range and potentials decaying as a power function of the distance. |
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