Abstract
We display three equivalent conditions for a sublattice, isomorphic to aP \((\tilde{H})\), of the propositional systemP(ℋ) of a quantum system to be the representation of a physical subsystem (see [1]). These conditions are valid for dim\(\tilde{H}\)⩾3. We prove that one of them is still necessary and sufficient if dim\(\tilde{H}\)<3. A physical interpretation of this condition is given.
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Wetenschappelijke medewerkers bij het Interuniversitair Instituut voor Kernwetenschappen (in het kader van navorsingsprogramma 21 EN).
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Aerts, D., Daubechies, I. A mathematical condition for a sublattice of a propositional system to represent a physical subsystem, with a physical interpretation. Lett Math Phys 3, 19–27 (1979). https://doi.org/10.1007/BF00959534
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DOI: https://doi.org/10.1007/BF00959534