Noncanonical Hamiltonian Field Theory
نویسندگان
چکیده
Aspects of noncanonical Hamiltonian field theory are reviewed. '·1any systems are Hamiltonian in the sense of possessing Poisson bracket structures, yet the equations are not in canonical form. A particular sys tem of thi s type is cons idered, namely reduced magnetohydrodynamics (RllHD) which was derived for tokamak modelling. The notion of a liePoisson bracket is reviewed; these are special Poisson brackets associated to Lie groups. The RI4iD equations are shown to be Hamiltonian for brackets closely related to the Poisson bracket of a semi-di rect product group. The process by which this bracket may be derived from a canonical Lagrangian description by reduction is described.
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