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

A. P. Veselov; Y. Ye

doi:10.1007/s11005-020-01308-7

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

A. P. Veselov^*, Y. Ye

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	3105-3119
Number of pages	15
Journal	Letters in Mathematical Physics
Volume	110
Issue number	11
DOIs	https://doi.org/10.1007/s11005-020-01308-7
Publication status	Published - 1 Nov 2020
Externally published	Yes

Keywords

Dirac magnetic monopole
Euler two-centre problem

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10.1007/s11005-020-01308-7

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title = "New integrable two-centre problem on sphere in Dirac magnetic field",

abstract = "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.",

keywords = "Dirac magnetic monopole, Euler two-centre problem",

author = "Veselov, {A. P.} and Y. Ye",

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year = "2020",

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AU - Veselov, A. P.

AU - Ye, Y.

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Y1 - 2020/11/1

N2 - 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.

AB - 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.

KW - Dirac magnetic monopole

KW - Euler two-centre problem

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DO - 10.1007/s11005-020-01308-7

M3 - Article

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JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 11

ER -

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

Abstract

Keywords

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