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


MSC:

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)
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References:

[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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