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Quantum Unsharpness and Symplectic Rigidity

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of Chicago, Chicago, IL, 60637, USA

    Leonid Polterovich

  2. School of Mathematical Sciences, Tel Aviv University, Tel Aviv, 69978, Israel

    Leonid Polterovich

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  1. Leonid Polterovich
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Correspondence to Leonid Polterovich.

Additional information

This work was partially supported by the National Science Foundation grant DMS-1006610 and the Israel Science Foundation grant 509/07.

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Polterovich, L. Quantum Unsharpness and Symplectic Rigidity. Lett Math Phys 102, 245–264 (2012). https://doi.org/10.1007/s11005-012-0564-7

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  • DOI: https://doi.org/10.1007/s11005-012-0564-7

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