Formal GNS Construction and WKB Expansion in Deformation Quantization
q-alg
2008-02-03 v1 Quantum Algebra
Abstract
In this contribution we review the formal GNS construction developped in a previous preprint (q-alg/9607019), and formulate the usual WKB-expansion in flat 2n-dimensional phase space in terms of a GNS construction with a positive linear functional with support on a projectable Lagrangean submanifold defined as a graph of an exact one form dS. The main trick is a suitable form of the star-exponential of S.
Cite
@article{arxiv.q-alg/9611004,
title = {Formal GNS Construction and WKB Expansion in Deformation Quantization},
author = {M. Bordemann and S. Waldmann},
journal= {arXiv preprint arXiv:q-alg/9611004},
year = {2008}
}
Comments
LaTeX 2.09, 5 pages; Contribution to the Ascona Meeting on Deformation Theory, Symplectic Geometry, and Applications, June 16-22, 1996