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Il Nuovo Cimento B (1965-1970)

, Volume 56, Issue 2, pp 323–326 | Cite as

Phase-space symmetries of a relativistic plasma

  • R. M. Santilli
Lettere Alla Redazione
  • 17 Downloads

Keywords

Classical System Kepler Problem Relativistic Plasma Symmetry Approach Isotropic Harmonic Oscillator 
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References

  1. (1).
    B. Kursunoglu:Symmetries of a relativistic plasma, to appear in theProc. of the Relativistic Plasma Symposium (New York).Google Scholar
  2. (2).
    Let us recall that the name «symmetry» is used in elementary-particle physics for denoting a group of transformations able to characterize a physical system.Google Scholar
  3. (3).
    The no-interaction theorem states that a finite number of classical particles cannot be represented by a theory including interactions if the theory is invariant under the inhomogeneous Lorent group. See, for instance:D. G. Currie, T. F. Jordan andE. C. G. Sudarshan:Rev. Mod. Phys.,35, 350 (1963);H. Leutwyler:Nuovo Cimento,37, 556 (1965);R. N. Hill:Journ. Math. Phys.,8, 201 (1967).ADSMathSciNetCrossRefGoogle Scholar
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    H. Bacry:Nuovo Cimento,41 A, 221 (1966);E. C. G. Sudarshan andN. Mukunda:Lecture in Theoretical Physics, vol.8B (Boulder, 1966);A. Loinger:Ann. of Phys.,20, 132 (1962);L. C. Biedenharn:Phys. Rev.,126, 845 (1962);N. Mukunda, L. O’Raifeartaigh andE. C. G. Sudarshan Phys. Rev. Lett.,15, 1041 (1965).ADSGoogle Scholar
  5. (5).
    H. Bacry, H. Ruegg andJ. M. Suriau:Comm. Math. Phys.,3, 323 (1966);D. M. Fradkin:Progr. Theor. Phys.,37, 798 (1967).ADSMathSciNetCrossRefGoogle Scholar
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  7. (7).
    F. Duimio andM. Pauri:Nuovo Cimento,51 A, 1141 (1967).ADSCrossRefGoogle Scholar
  8. (8).
    B. Kursunoglu:Nuclear Fusion,1, 213 (1961).CrossRefGoogle Scholar
  9. (9).
    C. Chevalley:Theory of Lie Groups (Princeton, 1946);L. S. Pontryagin:Topological Groups (New York, 1966).Google Scholar
  10. (10).
    L. D. Landau andE. M. Lifshitz:Mechanics (London, 1960).Google Scholar
  11. (11).
    L. P. Eisenhart:Continuous Groups of Transformations (New York, 1963).Google Scholar
  12. (12).
    See ref. (11), pp. 281–291.Google Scholar
  13. (13).
    For investigation on theSU 3,1 group see, for instance,R. M. Santilli:Nuovo Cimento,51 A, 89 (1967).ADSMathSciNetCrossRefGoogle Scholar
  14. (14).
    M. Gell-Mann andY. Ne’eman:The Eightfold Way (New York, 1964).Google Scholar
  15. (15).
    F. Ström:Ark. f. Fys.,30, 455 (1965).Google Scholar

Copyright information

© Società Italiana di Fisica 1968

Authors and Affiliations

  • R. M. Santilli
    • 1
  1. 1.Center for Theoretical StudiesUniversity of MiamiCoral Gables

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