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Il Nuovo Cimento (1955-1965)

, Volume 37, Issue 2, pp 556–567 | Cite as

A no-interaction theorem in classical relativistic Hamiltonian particle mechanics

  • H. Leutwyler
Article

Summary

It is shown that a nondegenerate Hamiltonian theory of a finite number of classical particles cannot describe any interaction if the theory is relativistically invariant and if the co-ordinates of the particles transform, correctly under the inhomogeneous Lorentz group.

Riassunto

Si dimostra che una teoria hamiltoniana non degenere di un numero flnito di particelle classiche non può descrivere nessuna interazione se la teoria è relativisticamente invariante e se le coordinate delie particelle si trasformano correttamente rispetto al gruppo di Lorentz omogeneo.

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References

  1. (1).
    D. G. Currir, T. F. Jordan andE. C. G. Sudarshan: Rev.Mod. Phys.,35, 350 (1963). Of course the method of introducing relativistic symmetry by constructing a set of generators has been used earlier; see the above review article for references.ADSCrossRefGoogle Scholar
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    J. T. Cannon andT. F. Jordan: to be published.Google Scholar
  3. (3).
    J. S. Lomont andH. E. Moses: Comm.Pure Appl. Math.,14, 69 (1961);J. B. Keller: Comm.Pure Appl. Math.,14, 77 (1961).MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Società Italiana di Fisica 1965

Authors and Affiliations

  • H. Leutwyler
    • 1
  1. 1.Institut für Theoretische Physik der UniversitätBern

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