Physics – Quantum Physics
Scientific paper
2003-06-14
EconfC0306234:1108-1115,2003
Physics
Quantum Physics
LaTeX, 8 pages, no figures
Scientific paper
The orbit method of Kirillov is used to derive the p-mechanical brackets [quant-ph/0212101]. 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 Galilean. Keywords: Classic and quantum mechanics, Moyal brackets, Poisson brackets, commutator, Heisenberg group, orbit method, deformation quantisation, representation theory, De Donder-Weyl field theory, Galilean group, Clifford algebra, conformal M\"obius transformation, Dirac operator
No associations
LandOfFree
p-Mechanics and De Donder-Weyl Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with p-Mechanics and De Donder-Weyl Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and p-Mechanics and De Donder-Weyl Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-210902