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Veselov-Ye2020_Article_NewIntegrableTwo-centreProblem.pdf (546.11 kB)

New integrable two-centre problem on sphere in Dirac magnetic field

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posted on 2020-08-04, 14:57 authored by Alexander VeselovAlexander Veselov, Yiru Ye
© 2020, The Author(s). We present a new family of integrable versions of the Euler two-centre problem on two-dimensional sphere in the presence of the Dirac magnetic monopole of arbitrary charge. The new systems have very special algebraic potential and additional integral quadratic in momenta, both in classical and quantum versions.

Funding

Russian Science Foundation Grant No. 20-11-20214

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Letters in Mathematical Physics

Volume

110

Issue

11

Pages

3105 - 3119

Publisher

Springer Verlag

Version

  • VoR (Version of Record)

Rights holder

© The authors

Publisher statement

This is an Open Access Article. It is published by Springer 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

2020-06-18

Publication date

2020-06-30

Copyright date

2020

ISSN

0377-9017

eISSN

1573-0530

Language

  • en

Depositor

Prof Alexander Veselov Deposit date: 4 August 2020

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