44 citations · 91 across the 3 of their papers we have counts for
3 papers
q-alg1996★ 19 cited
Formal GNS Construction and WKB Expansion in Deformation Quantization
M. Bordemann, S. Waldmann
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 spa…
q-alg1996★ 28 cited
A Fedosov Star Product of Wick Type for Kähler Manifolds
M. Bordemann, S. Waldmann
In this letter we compute some elementary properties of the Fedosov star product of Weyl type, such as symmetry and order of differentiation. Moreover, we define the notion of a st…
q-alg1995★ 44 cited
Subalgebras with Converging Star Products in Deformation Quantization: An Algebraic Construction for $\complex \mbox{\LARGE P}^n$
M. Bordemann, M. Brischle, C. Emmrich +1
Based on a closed formula for a star product of Wick type on $\CP^n$, which has been discovered in an earlier article of the authors, we explicitly construct a subalgebra of the fo…