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20062016
most citedThe Runge-Lenz vector for quantum Kepler problem in the space of positive constant curvature and complex parabolic coordinates

7 citations · 10 across the 4 of their papers we have counts for

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Showing 2016Show all

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math-ph2016★ 2 cited

Kepler motion on single-sheet hyperboloid

Yu. A. Kurochkin, V. S. Otchik, L. G. Mardoyan +2

The classical Kepler-Coulomb problem on the single-sheeted hyperboloid is solved in the framework of the Hamilton--Jacobi equation. We have proven that all the bounded or…

math-ph2016

Eigenfunction expansions in the imaginary Lobachevsky space

Yu. A. Kurochkin, V. S. Otchik, D. R. Petrosyan +1

Eigenfunctions of the Schrodinger equation with the Coulomb potential in the imaginary Lobachevsky space are studied in two coordinate systems admitting solutions in terms of hyper…