Abstract
It is shown that the equations of motion do not determine their Hamiltonian descriptions uniquely. In particular, different Poisson bracket relations are admissible for a given physical problem. The free symmetric top and a charged particle moving on a homogeneous and constant magnetic field, for instance, may be described by a classical Hamiltonian theory with an SU(2)4 Poisson bracket structure.
Original language | English |
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Pages (from-to) | L249-L254 |
Journal | Journal of Physics A: Mathematical and General |
Volume | 24 |
Issue number | 6 |
DOIs | |
State | Published - 21 Mar 1991 |