Yanovski, Alexander B. The phase space for conformal particle with zero mass and spirality and its relation with the Kepler’s problem. (English) Zbl 1094.70011 J. Geom. Symmetry Phys. 3, 84-104 (2005). Summary: We show that the two orbits in the coadjoint representation of the group SO\((4,2)\), the one, related with the Kepler s problem (hydrogen atom problem), and the other – modelling the phase space of a conformal particle with zero mass and spirality zero, coincide. MSC: 70G10 Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics 70G65 Symmetries, Lie group and Lie algebra methods for problems in mechanics 70F05 Two-body problems 81V45 Atomic physics Keywords:coadjoint representation; group SO(4,2); hydrogen atom PDF BibTeX XML Cite \textit{A. B. Yanovski}, J. Geom. Symmetry Phys. 3, 84--104 (2005; Zbl 1094.70011) Full Text: Link OpenURL