First-order Hamiltonian field theory and mechanics
نویسندگان
چکیده
منابع مشابه
Noncanonical Hamiltonian Field Theory
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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The orbit method of Kirillov is used to derive the p-mechanical brackets [25]. They generate the quantum (Moyal) and classic (Poisson) brackets on respective orbits corresponding to representations of the Heisenberg group. The extension of p-mechanics to field theory is made through the De Donder–Weyl Hamiltonian formulation. The principal step is the substitution of the Heisenberg group with G...
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These notes were prepared as a support for a talk at the graduate workshop ”Supersymmetric Field Theories and Their Mathematical Implications” held in March 2012 at the Simons Center in Stony Brook. They are essentially cut out of [1], from which nearly all the material is taken, with a little rearrangement. To the reader looking for a richer exposition we definitely suggest the excellent sourc...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling of Dynamical Systems
سال: 2011
ISSN: 1387-3954,1744-5051
DOI: 10.1080/13873954.2010.537526