Noncanonical Hamilto~ian Field Theory and Reduced ~hd
نویسنده
چکیده
Aspects of noncanonical Hamiltonian field theory are reviewed. f·1any systems are Hamiltonian in the sense of possessing Poisson bracket structures. yet the equations are not in canonical form. A particular system of this type is considered. namely reduced magnetohydrodynamics (RflHD) which was derived for tokamak modelling. The notion of a LiePoisson bracket is reviewed; these are special Poisson brackets associated to lie groups. The Rt4iD 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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Nqticanorucal Hamil To~ian Fl Eld Theory and Reduced ~lho
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 P...
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