Veselov_2020_J._Phys._A__Math._Theor._53_494004.pdf (1.1 MB)
Download fileIntegrable generalisations of Dirac magnetic monopole
journal contribution
posted on 2020-11-24, 15:28 authored by Alexander VeselovAlexander Veselov, Y YeWe classify certain integrable (both classical and quantum) generalisations of
Dirac magnetic monopole on topological sphere S2 with constant magnetic
field, completing the previous local results by Ferapontov, Sayles and Veselov.
We show that there are two integrable families of such generalisations with integrals, which are quadratic in momenta. The first family corresponds to the classical Clebsch systems, which can be interpreted as Dirac magnetic monopole
in harmonic electric field. The second family is new and can be written in terms
of elliptic functions on sphere S2 with very special metrics.
Funding
the Russian Science Foundation Grant No. 20-11-20214
History
School
- Science
Department
- Mathematical Sciences
Published in
Journal of Physics A: Mathematical and TheoreticalVolume
53Issue
49Publisher
IOP PublishingVersion
- VoR (Version of Record)
Rights holder
© The authorsPublisher statement
This is an Open Access Article. It is published by IOP under the Creative Commons Attribution 4.0 Unported Licence (CC BY). Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/Acceptance date
2020-10-09Publication date
2020-11-17Copyright date
2020ISSN
1751-8113eISSN
1751-8121Publisher version
Language
- en