Two charges on a plane in a magnetic field: Special trajectories

DOI10.1063/1.4792478zbMath1375.78013arXiv1208.2995OpenAlexW3105207896MaRDI QIDQ5396307

Mauricio A. Escobar-Ruiz, Alexander~V. Turbiner

Publication date: 5 February 2014

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

Full work available at URL: https://arxiv.org/abs/1208.2995

zbMATH Keywords

electron-positron pairtwo electronselectron-{\(\alpha\)}-particle pairtwo Coulomb charges

Mathematics Subject Classification ID

Motion of charged particles (78A35)

Related Items (8)

Two charges on a plane in a magnetic field. II: Moving neutral quantum system across a magnetic field ⋮ Classical states of an electric dipole in an external magnetic field: Complete solution for the center of mass and trapped states ⋮ Three charges on a plane in a magnetic field: Special trajectories ⋮ Two charges on plane in a magnetic field. III: \(\mathrm{He}^+\) ion ⋮ An infinite family of maximally superintegrable systems in a magnetic field with higher order integrals ⋮ Classical superintegrable systems in a magnetic field that separate in Cartesian coordinates ⋮ Electron-positron planar orbits in a constant magnetic field ⋮ Superintegrability of separable systems with magnetic field: the cylindrical case

Cites Work

• Integrable and superintegrable Hamiltonian systems in magnetic fields
• Interaction of two charges in a uniform magnetic field: I. Planar problem
• Particular integrability and (quasi)-exact-solvability
• Two particles with opposite charge in a homogeneous magnetic field: particular analytical solutions of the two-dimensional Schrödinger equation

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