Classical Coulomb three-body problem in collinear eZe configuration

Details Classical Coulomb three-body problem in collinear eZe configuration Classical Coulomb three-body problem in collinear eZe configuration

2003-05-20

arxiv.org/abs/nlin/0305032v2

Nonlinear Sciences

Chaotic Dynamics

Largely rewritten. 21 pages. All figures are available in http://ace.phys.h.kyoto-u.ac.jp/~sano/3-body/index.html

Scientific paper

10.1088/0305-4470/37/3/018

Classical dynamics of two-electron atom and ions H$^{-}$, He, Li$^{+}$, Be$^{2+}$,... in collinear eZe configuration is investigated. It is revealed that the mass ratio $\xi$ between necleus and electron plays an important role for dynamical behaviour of these systems. With the aid of analytical tool and numeircal computation, it is shown that thanks to large mass ratio $\xi$, classical dynamics of these systems is fully chaotic, probably hyperbolic. Experimental manifestation of this finding is also proposed.

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