Letters in Mathematical Physics

, Volume 3, Issue 1, pp 11–17 | Cite as

A characterization of subsystems in physics

  • Dirk Aerts
  • Ingrid Daubechies


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.


Statistical Physic Group Theory Physical System System Formalism Classical Case 
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  1. 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. Google Scholar
  2. 2.
    C. Piron,Foundations of Quantum Physics, W.A. Benjamin Inc., 1976.Google Scholar
  3. 3.
    C.Piron,Helv. Phys. Acta 37, 440 (1964).Google Scholar
  4. 4.
    I.Amemiya and H.Araki,Publ. Research Inst. Math. Sci. Kyoto Univ.,A2, 423 (1967).Google Scholar
  5. 5.
    D. Aerts and I. Daubechies, ‘Structure-preserving maps of a quantum mechanical propositional system’, to be published inHelv. Phys. Acta. Google Scholar
  6. 6.
    D. Aerts and I. Daubechies, ‘A connection between propositional systems in Hilbert space and von Neumann algebras’, to be published inHelv. Phys. Acta. Google Scholar
  7. 7.
    D. Aerts and C. Piron, ‘The role of the modular pairs in the category of complete orthomodular lattice’,Lett. Math. Phys., this issue.Google Scholar

Copyright information

© D. Reidel Publishing Company 1979

Authors and Affiliations

  • Dirk Aerts
    • 1
  • Ingrid Daubechies
    • 1
  1. 1.Theoretische NatuurkundeVrije Universiteit BrusselBrusselBelgium

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