A CRITERION FOR ASYMPTOTIC STRAIGHTNESS OF FORCE FIELDS

作者:Scheurle Juergen*; Schmitz Stephan
来源:Discrete and Continuous Dynamical Systems-Series B, 2010, 14(2): 777-792.
DOI:10.3934/dcdsb.2010.14.777

摘要

We consider the equations of motion arising from the classical scattering problem for potentials decreasing sufficiently fast at infinity. It is common to impose some conditions on the potential which guarantee that the paths of particles moving to infinity have straight lines as asymptotes. In this paper a new criterion is given by which one can decide whether or not a given potential has this special property called asymptotic straightness.

  • 出版日期2010-9

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