Quantum unsharpness and symplectic rigidity
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Publication:1927641
DOI10.1007/s11005-012-0564-7zbMath1261.81078arXiv1110.5247OpenAlexW3104467616MaRDI QIDQ1927641
Publication date: 2 January 2013
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.5247
Poisson bracketsymplectic manifoldBerezin-Toeplitz quantizationquantum measurementpositive operator valued measuresymplectic quasi-state
Geometry and quantization, symplectic methods (81S10) Quantum measurement theory, state operations, state preparations (81P15) Global theory of symplectic and contact manifolds (53D35)
Related Items (17)
Book Review: Function theory on symplectic manifolds ⋮ Commutators of spectral projections of spin operators ⋮ Unifying decoherence and the Heisenberg principle ⋮ Anticanonically balanced metrics on Fano manifolds ⋮ Spectra and variance of quantum random variables ⋮ The Poisson bracket invariant for open covers consisting of topological disks on surfaces ⋮ Dynamical systems. Abstracts from the workshop held July 11--17, 2021 (hybrid meeting) ⋮ BEREZIN–TOEPLITZ QUANTIZATION, HYPERKÄHLER MANIFOLDS, AND MULTISYMPLECTIC MANIFOLDS ⋮ Symplectic geometry of quantum noise ⋮ Spectral killers and Poisson bracket invariants ⋮ Disjoint superheavy subsets and fragmentation norms ⋮ Semi-classical properties of Berezin–Toeplitz operators with $\mathscr {C}^k$Ck-symbol ⋮ Spectral invariants for monotone Lagrangians ⋮ Inferring topology of quantum phase space ⋮ Smooth covers on symplectic manifolds ⋮ Balanced metrics for Kähler-Ricci solitons and quantized Futaki invariants ⋮ Poisson brackets of partitions of unity on surfaces
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