p-MECHANICS AND DE DONDER–WEYL THEORY
نویسنده
چکیده
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 Galilean.
منابع مشابه
Hamiltonian formalisms for multidimensional calculus of variations and perturbation theory
In a first part we propose an introduction to multisymplectic formalisms, which are generalisations of Hamilton’s formulation of Mechanics to the calculus of variations with several variables: we give some physical motivations, related to the quantum field theory, and expound the simplest example, based on a theory due to T. de Donder and H. Weyl. In a second part we explain quickly a work in c...
متن کاملp - MECHANICS AND FIELD THEORY
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...
متن کاملThe notion of observable in the covariant Hamiltonian formalism for the calculus of variations with several variables
This papers is concerned with multisymplectic formalisms which are the frameworks for Hamiltonian theories for fields theory. Our main purpose is to study the observable (n− 1)-forms which allows one to construct observable functionals on the set of solutions of the Hamilton equations by integration. We develop here two different points of view: generalizing the law {p, q} = 1 or the law dF/dt ...
متن کاملar X iv : q ua nt - p h / 04 02 03 5 v 3 9 J un 2 00 5 p - MECHANICS AND FIELD THEORY
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...
متن کاملar X iv : q ua nt - p h / 04 02 03 5 v 3 9 Ju n 20 05 p - MECHANICS AND FIELD THEORY VLADIMIR
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...
متن کامل