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Published on: November 16, 2013
Classical dynamics near the triple collision in a three-body Coulomb problem
Nark Nyul Choi1, Min-Ho Lee, Gregor Tanner
1School of Natural Science, Kumoh National Institute of Technology, Kumi, Kyungbook 730-701, Korea.
Physical Review Letters
|August 25, 2004
Summary
We studied chaotic motion in three-body Coulomb systems. Simple dynamical patterns were found near triple collisions, revealing underlying order that could explain structures in two-electron atoms.
Area of Science:
- Classical mechanics
- Quantum mechanics
- Atomic physics
Background:
- The three-body Coulomb problem exhibits complex chaotic dynamics.
- Triple collisions are a primary source of chaos in these systems.
- Understanding these dynamics is crucial for atomic physics.
Purpose of the Study:
- To analyze the three-body dynamics near triple collisions in detail.
- To identify underlying patterns in the chaotic phase space.
- To connect classical dynamics to quantum phenomena in two-electron atoms.
Main Methods:
- Utilized the McGehee scaling technique.
- Investigated systems with three charged particles (attractive/repulsive interactions).
- Analyzed dynamics in 3 degrees of freedom.
Main Results:
- Discovered surprisingly simple dynamical patterns in large portions of the chaotic phase space.
- Identified approximate Markov partitions as a source of order.
- Demonstrated a connection between classical chaos and quantum spectra.
Conclusions:
- The classical motion of three charged particles reveals unexpected order near triple collisions.
- Approximate Markov partitions offer a framework for understanding chaotic behavior.
- These findings may aid in interpreting the global structures in quantum spectra of two-electron atoms.
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