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- W2004124377 abstract "We report on an anti-Gleason phenomenon in classical mechanics: in contrast with the quantum case, the algebra of classical observables can carry a non-linear quasi-state, a monotone functional which is linear on all subspaces generated by Poisson-commutative functions. We present an example of such a quasi-state in the case when the phase space is the 2-sphere. This example lies in the intersection of two seemingly remote mathematical theories - symplectic topology and the theory of topological quasi-states. We use this quasi-state to estimate the error of the simultaneous measurement of non-commuting Hamiltonians." @default.
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- W2004124377 date "2007-07-31" @default.
- W2004124377 modified "2023-10-17" @default.
- W2004124377 title "An “Anti-Gleason” Phenomenon and Simultaneous Measurements in Classical Mechanics" @default.
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- W2004124377 doi "https://doi.org/10.1007/s10701-007-9158-0" @default.
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