Nonlinear realizations, the orbit method and Kohn's theorem

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages; few references added

Scientific paper

The orbit method is used to describe the centre of mass motion of the system
of particles with fixed charge to mass ratio moving in homogeneous magnetic
field and confined by harmonic potential. The nonlinear action of symmetry
group on phase space is identified and compared with the one obtained with the
help of Eisenhart lift.

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