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A characterization of subsystems in physics

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Abstract

Working within the framework of the propositional system formalism, we use a previous study [1] of the description of two independent physical systems as one big physical system to derive a characterization of a (non-interacting) physical subsystem. We discuss the classical case and the quantum case.

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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.

  3. C.Piron,Helv. Phys. Acta 37, 440 (1964).

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  4. I.Amemiya and H.Araki,Publ. Research Inst. Math. Sci. Kyoto Univ.,A2, 423 (1967).

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  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.

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Authors and Affiliations

  1. Theoretische Natuurkunde, Vrije Universiteit Brussel, Pleinlaan 2, B-1050, Brussel, Belgium

    Dirk Aerts & Ingrid Daubechies

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  1. Dirk Aerts
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  2. Ingrid Daubechies
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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 characterization of subsystems in physics. Lett Math Phys 3, 11–17 (1979). https://doi.org/10.1007/BF00959533

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  • DOI: https://doi.org/10.1007/BF00959533

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