Nonintegrability of the three-body problems for the classical helium atom
DOI10.1063/1.2339013zbMath1112.81101OpenAlexW1989062617MaRDI QIDQ3442044
A. López-Castillo, Márcio A. C. Almeida, Teresinha J. Stuchi
Publication date: 16 May 2007
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.2339013
Atomic physics (81V45) Groups and algebras in quantum theory and relations with integrable systems (81R12) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)
Related Items (1)
Cites Work
- A criterion for the non-existence of an additional integral in Hamiltonian systems with a homogeneous potential
- Classical and quantum integrability for a class of potentials in two dimensions.
- Center manifold of unstable periodic orbits of helium atom: numerical evidence
- Non-integrability proof of the frozen planetary atom configuration
- Differential Galois theory and non-integrability of Hamiltonian systems
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