dorsal/arxiv
View SchemaFormal GNS Construction and WKB Expansion in Deformation Quantization
| Authors | M. Bordemann, S. Waldmann |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9611004 |
| URL | https://arxiv.org/abs/q-alg/9611004 |
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.
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"abstract": "In this contribution we review the formal GNS construction developped in a\nprevious preprint (q-alg/9607019), and formulate the usual WKB-expansion in\nflat 2n-dimensional phase space in terms of a GNS construction with a positive\nlinear functional with support on a projectable Lagrangean submanifold defined\nas a graph of an exact one form dS. The main trick is a suitable form of the\nstar-exponential of S.",
"arxiv_id": "q-alg/9611004",
"authors": [
"M. Bordemann",
"S. Waldmann"
],
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"title": "Formal GNS Construction and WKB Expansion in Deformation Quantization",
"url": "https://arxiv.org/abs/q-alg/9611004"
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