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Two charges on a plane in a magnetic field: hidden algebra, (particular) integrability, polynomial eigenfunctions

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Publication:2843750
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DOI10.1088/1751-8113/46/29/295204zbMath1333.78009arXiv1303.2345OpenAlexW1995419565MaRDI QIDQ2843750

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

Publication date: 26 August 2013

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

Full work available at URL: https://arxiv.org/abs/1303.2345



Mathematics Subject Classification ID

Motion of charged particles (78A35)


Related Items (7)

Two charges on a plane in a magnetic field. II: Moving neutral quantum system across a magnetic field ⋮ Three charges on a plane in a magnetic field: Special trajectories ⋮ One-dimensional quasi-exactly solvable Schrödinger equations ⋮ 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 ⋮ Superintegrability of separable systems with magnetic field: the cylindrical case




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