Classical Kepler-Coulomb problem on SO(2, 2) hyperboloid
Journal Article
·
· Physics of Atomic Nuclei
In the present work, the problem of the motion of the classical particle in the Kepler-Coulomb field in three-dimensional hyperbolic space H{sub 2}{sup 2}: z{sub 2}{sup 0} + z{sub 2}{sup 1} - z{sub 2}{sup 2} - z{sub 2}{sup 3} = R{sup 2} is solved in the framework of Hamilton-Jacobi equation. The requirements for the existence of bounded motion of particle are formulated. The equation of the trajectory of particle is obtained, and it is shown that all the finite trajectories are closed. It is also demonstrated that under the certain values (zero or negative) of the separation constant A the fall of the particle onto the center takes place.
- OSTI ID:
- 22212644
- Journal Information:
- Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 10 Vol. 76; ISSN 1063-7788; ISSN PANUEO
- Country of Publication:
- United States
- Language:
- English
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