The hydrogen atom in the van der Waals potential combined by magnetic and electric fields, Painlevé analysis, and integrability

DOI10.1063/1.5090485zbMath1416.81225OpenAlexW2948682016MaRDI QIDQ5223600

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Publication date: 18 July 2019

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

Full work available at URL: https://doi.org/10.1063/1.5090485

Mathematics Subject Classification ID

Quantum chaos (81Q50) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Perturbation theories for operators and differential equations in quantum theory (81Q15) Atomic physics (81V45) Groups and algebras in quantum theory and relations with integrable systems (81R12) Electro- and magnetostatics (78A30)

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Detecting Order and Chaos by the mLE, SALI and GALI Methods in Three-Dimensional Nonlinear Yang–Mills System ⋮ Painlevé's analysis, integrability and detecting chaos-order-chaos transition by the SALI and mLE methods of three-dimensional Armbruster Guckenheimer Kim galactic potential

Cites Work

• On the integrability of the motion of 3D-swinging Atwood machine and related problems
• On the nonintegrability of the generalized van der Waals Hamiltonian system
• Periodics orbits and $\mathcal {C}^{1}$C1-integrability in the planar Stark–Zeeman problem
• Differential Galois obstructions for integrability of homogeneous Newton equations
• Darboux integrability and algebraic invariant surfaces for the Rikitake system
• The weak-Painlevé property as a criterion for the integrability of dynamical systems
• Separability and Lax pairs for Hénon–Heiles system
• Lie symmetry and integrability of ordinary differential equations

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