Spherical type integrable classical systems in a magnetic field

DOI10.1088/1751-8121/aaae9bzbMath1391.70051OpenAlexW2790949343MaRDI QIDQ4644126

Antonella Marchesiello, Libor Šnobl, Pavel Winternitz

Publication date: 30 May 2018

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

Full work available at URL: https://doi.org/10.1088/1751-8121/aaae9b

zbMATH Keywords

integrabilitymagnetic fieldsuperintegrabilityclassical mechanics

Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Motion of charged particles (78A35)

Related Items (14)

Family of nonstandard integrable and superintegrable classical Hamiltonian systems in non-vanishing magnetic fields ⋮ Pairs of commuting quadratic elements in the universal enveloping algebra of Euclidean algebra and integrals of motion* ⋮ On rotationally invariant integrable and superintegrable classical systems in magnetic fields with non-subgroup type integrals ⋮ Cylindrical type integrable classical systems in a magnetic field ⋮ Doubly exotic \(N\)th-order superintegrable classical systems separating in Cartesian coordinates ⋮ Cylindrical first-order superintegrability with complex magnetic fields ⋮ Advances in QED with intense background fields ⋮ New classes of quadratically integrable systems in magnetic fields: the generalized cylindrical and spherical cases ⋮ An infinite family of maximally superintegrable systems in a magnetic field with higher order integrals ⋮ Higher Order Quantum Superintegrability: A New “Painlevé Conjecture” ⋮ Classical superintegrable systems in a magnetic field that separate in Cartesian coordinates ⋮ Symmetries of Schrödinger equation with scalar and vector potentials ⋮ On superintegrability of 3D axially-symmetric non-subgroup-type systems with magnetic fields ⋮ Superintegrability of separable systems with magnetic field: the cylindrical case

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