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A characterization of subsystems in physics. (English) Zbl 0451.03025

03G12 Quantum logic
03B60 Other nonclassical logic
06C15 Complemented lattices, orthocomplemented lattices and posets
06C20 Complemented modular lattices, continuous geometries
81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)
Full Text: DOI
[1] D. Aerts and I. Daubechies, ?Physical justification for using the tensor product to describe two quantum systems as one joint system?, submitted toHelv. Phys. Acta.
[2] C. Piron,Foundations of Quantum Physics, W.A. Benjamin Inc., 1976. · Zbl 0333.46050
[3] C.Piron,Helv. Phys. Acta 37, 440 (1964).
[4] I.Amemiya and H.Araki,Publ. Research Inst. Math. Sci. Kyoto Univ.,A2, 423 (1967). · Zbl 0177.16103 · doi:10.2977/prims/1195195769
[5] D. Aerts and I. Daubechies, ?Structure-preserving maps of a quantum mechanical propositional system?, to be published inHelv. Phys. Acta.
[6] D. Aerts and I. Daubechies, ?A connection between propositional systems in Hilbert space and von Neumann algebras?, to be published inHelv. Phys. Acta.
[7] D. Aerts and C. Piron, ?The role of the modular pairs in the category of complete orthomodular lattice?,Lett. Math. Phys., this issue. · Zbl 0451.03024
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