Classical dynamics near the triple collision in a three-body Coulomb problem

Details Classical dynamics near the triple collision in a three-body Coulomb problem Classical dynamics near the triple collision in a three-body Coulomb problem

2004-07-27

arxiv.org/abs/nlin/0407061v1

Phys. Rev. Lett. 93, 054302 (2004)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.93.054302

We investigate the classical motion of three charged particles with both attractive and repulsive interaction.The triple collision is a main source of chaos in such three body Coulomb problems.By employing the McGehee scaling technique, we analyse here for the first time in detail the three-body dynamics near the triple collision in 3 degrees of freedom.We reveal surprisingly simple dynamical patterns in large parts of the chaotic phase space. The underlying degree of order in the form of approximate Markov partitions may help in understanding the global structures observed in quantum spectra of two-electron atoms.

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