On the description of classical reflectionless potentials

N. G. Khimchenko, Ya G. Sinai

Research output: Contribution to journalArticle

3 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)53-63
Number of pages11
JournalReports on Mathematical Physics
Volume20
Issue number1
DOIs
StatePublished - Jan 1 1984
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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