Helium atom as a classical three-body problem

Journal Article · Mon Mar 29 00:00:00 EST 1993 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.70.1928· OSTI ID:6702650

Yamamoto, T; Kaneko, K ^[1]

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1. Department of Pure and Applied Sciences, University of Tokyo, Komaba, Tokyo 153 (Japan)

The classical three-body problem of the helium atom is numerically studied. For most initial conditions, orbits show chaotic transients until one of the electrons always escapes to infinity, leading to autoionization. For the remaining parts of initial conditions, several types of stable quasiperiodic motions (on tori) are found, which have a finite measure in the phase space. This discovery enables us to treat semiclassically a strongly correlated electronic system.

• OSTI ID: 6702650
• Journal Information: Physical Review Letters; (United States), Vol. 70:13; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
HELIUM
THREE-BODY PROBLEM
AUTOIONIZATION
CLASSICAL MECHANICS
ELECTRON CORRELATION
NUMERICAL SOLUTION
SEMICLASSICAL APPROXIMATION
STOCHASTIC PROCESSES
TRAJECTORIES
CORRELATIONS
ELEMENTS
FLUIDS
GASES
IONIZATION
MANY-BODY PROBLEM
MECHANICS
NONMETALS
RARE GASES
664100* - Theory of Electronic Structure of Atoms & Molecules- (1992-)