• Corpus ID: 245837208

Strict quantization of polynomial Poisson structures

  title={Strict quantization of polynomial Poisson structures},
  author={Severin Barmeier and Philipp Schmitt},
We show how combinatorial star products can be used to obtain strict deformation quantizations of polynomial Poisson structures on R, generalizing known results for constant and linear Poisson structures to polynomial Poisson structures of arbitrary degree. We give several examples of nonlinear Poisson structures and construct explicit formal star products whose deformation parameter can be evaluated to any real value of ~, giving strict quantizations on the space of analytic functions on R… 



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