K\"ahler polarisation and Wick Quantisation of Hamiltonian systems subject to second class constraints
High Energy Physics - Theory
2009-11-07 v2
Abstract
The necessary and sufficient conditions are established for the second-class constraint surface to be (an almost) K\"ahler manifold. The deformation quantisation for such systems is scetched resulting in the Wick-type symbols for the respective Dirac brackets.
Keywords
Cite
@article{arxiv.hep-th/0110138,
title = {K\"ahler polarisation and Wick Quantisation of Hamiltonian systems subject to second class constraints},
author = {S. L. Lyakhovich and A. A. Sharapov},
journal= {arXiv preprint arXiv:hep-th/0110138},
year = {2009}
}
Comments
8 pages, LaTeX