Nonrelativistic conformal groups and their dynamical realizations

Details Nonrelativistic conformal groups and their dynamical realizations Nonrelativistic conformal groups and their dynamical realizations

2012-04-26

arxiv.org/abs/1204.5950v1

Physics

Mathematical Physics

18 pages, no figures

Scientific paper

Nonrelativistic conformal groups, indexed by l=N/2, are analyzed. Under the assumption that the "mass" parametrizing the central extension is nonvanishing the coadjoint orbits are classified and described in terms of convenient variables. It is shown that the corresponding dynamical system describes, within Ostrogradski framework, the nonrelativistic particle obeying (N+1)-th order equation of motion. As a special case, the Schroedinger group and the standard Newton equations are obtained for N=1 (l=1/2).

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