Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10735934 | Reports on Mathematical Physics | 2005 | 14 Pages |
Abstract
The orbit method of Kirillov is used to derive the p-mechanical brackets [25]. They generate the quantum (Moyal) and classical (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 Galilean.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Vladimir V. Kisil,