Two charged particles in the plane under a constant perpendicular magnetic field

DOI10.1007/s10773-010-0539-3zbMath1226.81112OpenAlexW2077622735MaRDI QIDQ649918

Luis-Miguel Nieto, Manuel Gadella, Javier Negro, G. P. Pron'ko

Publication date: 25 November 2011

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-010-0539-3

zbMATH Keywords

integrable systemsHill equations

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10)

Related Items (6)

Relativistic two-dimensional hydrogen-like atom in a weak magnetic field ⋮ Periodic analytic approximate solutions for the Mathieu equation ⋮ Approximate solutions to the quantum problem of two opposite charges in a constant magnetic field ⋮ Iterative solution of some nonlinear differential equations ⋮ On the Equivalence Between Type I Liouville Dynamical Systems in the Plane and the Sphere ⋮ Electron-positron planar orbits in a constant magnetic field

Cites Work

• Classical and quantum three-dimensional integrable systems with axial symmetry
• Kinetic energy and ground-state electron densities as fingerprints of wavefunction entanglement in two-electron spin-compensated atomic models

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