Formal GNS Construction and WKB Expansion in Deformation Quantization

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
LaTeX 2.09, 5 pages; Contribution to the Ascona Meeting on Deformation Theory, Symplectic Geometry, and Applications, June 16-22, 1996

Keywords

Quantum Algebra

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/153623

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/q-alg/9611004
 http://arxiv.org/abs/q-alg/9611004

Collections

arXiv