26 citations · 50 across the 7 of their papers we have counts for
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math-ph2005★ 2 cited
Two-body quantum mechanical problem on spheres
Alexey V. Shchepetilov
The quantum mechanical two-body problem with a central interaction on the sphere is considered. Using recent results in representation theory an ordinary differential…
math-ph2005★ 3 cited
Two-body problem on spaces of constant curvature
A. V. Shchepetilov, I. E. Stepanova
The two-body problem with a central interaction on simply connected constant curvature spaces of an arbitrary dimension is considered. The explicit expression for the quantum two-b…
math-ph2002★ 9 cited
Two body problem on two point homogeneous spaces, invariant differential operators and the mass center concept
Alexey V. Shchepetilov
We consider the two body problem with central interaction on two point homogeneous spaces from point of view of the invariant differential operators theory. The representation of t…