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- W1606835899 abstract "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-Jacobi equation. We have shown that the harmonic oscillator on $H_2^2$, as in the other spaces with constant curvature, is exactly solvable and belongs to the class of maximally superintegrable system. We have proved that all the bounded classical trajectories are closed and periodic. The orbits of motion are ellipses or circles for bounded motion and ultraellipses or equidistant curve for infinite ones." @default.
- W1606835899 created "2016-06-24" @default.
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- W1606835899 date "2015-11-25" @default.
- W1606835899 modified "2023-09-27" @default.
- W1606835899 title "Harmonic Oscillator on the SO(2,2) Hyperboloid" @default.
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- W1606835899 doi "https://doi.org/10.3842/sigma.2015.096" @default.
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