109 citations · 546 across the 60 of their papers we have counts for
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math.QA1998★ 3 cited
On representations of star product algebras over cotangent spaces on Hermitian line bundles
Martin Bordemann, Nikolai Neumaier, Markus J. Pflaum +1
For every formal power series of closed two-forms on a manifold and every value of an ordering parameter we construct a concrete star produ…
math.QA1998★ 6 cited
A Remark on Non-equivalent Star Products via Reduction for CP^n
Stefan Waldmann
In this paper we construct non-equivalent star products on CP^n by phase space reduction. It turns out that the non-equivalent star products occur very natural in the context of ph…
math.QA1998★ 10 cited
A Remark on Formal KMS States in Deformation Quantization
Martin Bordemann, Hartmann Roemer, Stefan Waldmann
In the framework of deformation quantization we define formal KMS states on the deformed algebra of power series of functions with compact support in phase space as C[[λ]]-linear f…