Title of article :
p-Mechanics and field theory
Author/Authors :
Vladimir V. Kisil، نويسنده , , Vladimir V.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
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 :
Moyal brackets , Commutator , Poisson brackets , Orbit method , Heisenberg group , representation theory , conformal Mِbius transformation , Galilean group , Dirac operator , De Donder-Weyl field theory , classical and quantum mechanics , Deformation quantisation , Clifford algebra
Journal title :
Reports on Mathematical Physics
Journal title :
Reports on Mathematical Physics
