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


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.


Quantum Mechanic Recent Result Symmetry Transformation 
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  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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