Petrosyan, D.R.; Pogosyan, G.S.
(Symmetry, Integrability and Geometry: Methods and Applications, 2015)
In the present work the classical problem of harmonic oscillator in the hyperbolic space H²₂: z²₀+z²₁−z²₂−z²₃=R² has been completely solved in framework of Hamilton-Jacobi equation. We have shown that the harmonic oscillator ...