Geometric (pre)quantization in the polysymplectic approach to field theory
High Energy Physics - Theory
2007-05-23 v3 Mathematical Physics
math.MP
Symplectic Geometry
Quantum Physics
Abstract
The prequantization map for a Poisson-Gerstenhaber algebra of dynamical variables represented by differential forms within the polysymplectic formulation of the De Donder--Weyl covariant Hamiltonian field theory is presented and the corresponding prequantum Schroedinger equation for a non-homogeneous form valued wave function is derived. This is the first step toward understanding the procedures of covariant precanonical field quantization from the point of view of geometric quantization.
Cite
@article{arxiv.hep-th/0112263,
title = {Geometric (pre)quantization in the polysymplectic approach to field theory},
author = {I. V. Kanatchikov},
journal= {arXiv preprint arXiv:hep-th/0112263},
year = {2007}
}
Comments
12 pages, LaTeX. V2: minor corrections, important Note added in proofs, references detailed