English

Quantum unsharpness and symplectic rigidity

Symplectic Geometry 2015-05-30 v3 Mathematical Physics math.MP Quantum Physics

Abstract

We discuss a link between "hard" symplectic topology and an unsharpness principle for generalized quantum observables (positive operator valued measures). The link is provided by the Berezin-Toeplitz quantization.

Keywords

Cite

@article{arxiv.1110.5247,
  title  = {Quantum unsharpness and symplectic rigidity},
  author = {Leonid Polterovich},
  journal= {arXiv preprint arXiv:1110.5247},
  year   = {2015}
}

Comments

26 pages, more preliminaries added, changes in the exposition

R2 v1 2026-06-21T19:24:45.523Z