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The phase space for conformal particle with zero mass and spirality and its relation with the Kepler’s problem. (English) Zbl 1094.70011

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
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