## 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

### Keywords:

coadjoint representation; group SO(4,2); hydrogen atom
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