Non-integrability proof of the frozen planetary atom configuration

DOI10.1088/0305-4470/36/17/307zbMath1056.70006OpenAlexW1981928084MaRDI QIDQ4707601

Márcio A. C. Almeida, A. López-Castillo, Teresinha J. Stuchi

Publication date: 2003

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/36/17/307

zbMATH Keywords

three-body problemhelium atomPoincaré section

Mathematics Subject Classification ID

Three-body problems (70F07) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Computational methods for problems pertaining to quantum theory (81-08) Atomic physics (81V45) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07)

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Nonintegrability of the three-body problems for the classical helium atom ⋮ Distributed assembly permutation flow-shop scheduling problem with sequence-dependent set-up times using a novel biogeography-based optimization algorithm ⋮ Integrability of Hamiltonian systems and differential Galois groups of higher variational equations ⋮ On the quasi-separability of atoms and molecules ⋮ Periodic orbits and non-integrability in a cosmological scalar field

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