D. Petrosyan

most citedHarmonic Oscillator on the

SO (2, 2)

Hyperboloid

3 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

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 $H_{1}^{3}$ 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…

math-ph2015★ 3 cited

Harmonic Oscillator on the $SO (2, 2)$ Hyperboloid

Davit R. Petrosyan, George S. Pogosyan

In the present work the classical problem of harmonic oscillator in the hyperbolic space $H_{2}^{2}$ : $z_{0}^{2} + z_{1}^{2} - z_{2}^{2} - z_{3}^{2} = R^{2}$ has been completely solved in framework of Hamilton-…

Kepler motion on single-sheet hyperboloid

Eigenfunction expansions in the imaginary Lobachevsky space

Harmonic Oscillator on the SO(2,2) Hyperboloid

Harmonic Oscillator on the $SO (2, 2)$ Hyperboloid