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

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 quant...

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Bibliographic Details
Published in:	Letters in mathematical physics Vol. 110; no. 11; pp. 3105 - 3119
Main Authors:	Veselov, A. P., Ye, Y.
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01-11-2020 Springer Nature B.V
Subjects:	Complex Systems Geometry Group Theory and Generalizations Magnetic monopoles Mathematical and Computational Physics Physics Physics and Astronomy Theoretical 37J35 Dirac magnetic monopole 70H06 Euler two-centre problem
Online Access:	Get full text
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Summary:	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.
ISSN:	0377-9017 1573-0530
DOI:	10.1007/s11005-020-01308-7