19 citations · 28 across the 4 of their papers we have counts for
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math.QA1998
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
Quantum integrable Toda like systems
Martin Bordemann, Martin Walter
Using deformation quantization and suitable 2 by 2 quantum -matrices we show that a list of Toda like classical integrable systems given by Y.B.Suris is quantum integrable in th…
math.QA1998
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…