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Foundations of Physics

, Volume 30, Issue 10, pp 1757–1763 | Cite as

A Theorem of Ludwig Revisited

  • G. Cassinelli
  • E. De Vito
  • P. Lahti
  • A. Levrero
Article

Abstract

Using a recent result of Busch and Gudder, we reconsider a theorem of Ludwig which allows one to identify a class of effect automorphisms as the symmetry transformations in quantum mechanics.

Keywords

Quantum Mechanic Recent Result Symmetry Transformation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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REFERENCES

  1. 1.
    P. Busch and S. Gudder, “Effects as functions on projective Hilbert space,” Lett. Math. Phys. 47, 329-337 (1999).Google Scholar
  2. 2.
    G. Ludwig, Foundations of Quantum Mechanics, Vol. I, (Springer, New York, 1983.)Google Scholar
  3. 3.
    G. Cassinelli, E. De Vito, P. Lahti, and A. Levrero, “Symmetry groups in quantum mechanics and the theorem of Wigner on the symmetry transformations,” Rev. Math. Phys. 9, 921-941 (1997).Google Scholar

Copyright information

© Plenum Publishing Corporation 2000

Authors and Affiliations

  • G. Cassinelli
    • 1
  • E. De Vito
    • 2
    • 3
  • P. Lahti
    • 4
  • A. Levrero
    • 5
  1. 1.Dipartimento di FisicaUniversità di Genova, I.N.F.N.GenovaItaly;
  2. 2.Dipartimento di MatematicaUnivesità di ModenaModenaItaly
  3. 3.I.N.F.N.GenovaItaly;
  4. 4.Department of PhysicsUniversity of TurkuTurkuFinland;
  5. 5.Dipartimento di FisicaUniversità di Genova, I.N.F.N.GenovaItaly;

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