New integrable two-centre problem on sphere in Dirac magnetic field
Dynamical Systems
2020-07-15 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.1907.06174,
title = {New integrable two-centre problem on sphere in Dirac magnetic field},
author = {A. P. Veselov and Y. Ye},
journal= {arXiv preprint arXiv:1907.06174},
year = {2020}
}
Comments
13 pages, 4 figures, slightly revised version