Quantum Unsharpness and Symplectic Rigidity

Leonid Polterovich*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

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.

Original languageEnglish
Pages (from-to)245-264
Number of pages20
JournalLetters in Mathematical Physics
Volume102
Issue number3
DOIs
StatePublished - Oct 2012

Funding

FundersFunder number
National Science FoundationDMS-1006610
Israel Science Foundation509/07

    Keywords

    • Berezin-Toeplitz quantization
    • Poisson bracket
    • positive operator valued measure (POVM)
    • quantum measurement
    • symplectic manifold
    • symplectic quasi-state

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