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Formal GNS Construction and WKB Expansion in Deformation Quantization

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 نشر من قبل Stefan Waldmann
 تاريخ النشر 1996
  مجال البحث
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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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