4 citations · 8 across the 4 of their papers we have counts for
4 papers
Quantum Bianchi-VII problem, Mathieu functions and arithmetic
A. P. Veselov, Y. Ye
The geodesic problem on the compact threefolds with the Riemannian metric of Bianchi-VII type is studied in both classical and quantum cases. We show that the problem is integr…
Integrable generalisations of Dirac magnetic monopole
A. P. Veselov, Y. Ye
We classify certain integrable (both classical and quantum) generalisations of Dirac magnetic monopole on topological sphere with constant magnetic field, completing the prev…
New integrable two-centre problem on sphere in Dirac magnetic field
A. P. Veselov, Y. Ye
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…
Chaos and integrability in SL(2,R)-geometry
A. V. Bolsinov, A. P. Veselov, Y. Ye
The integrability of the geodesic flow on the three-folds admitting -geometry in Thurston's sense is investigated. The main examples are the quotien…