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

Published 14 Jul 2019 in math.DS, math-ph, math.MP, and nlin.SI | (1907.06174v2)

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.

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