Advertisement

Il Nuovo Cimento (1955-1965)

, Volume 34, Issue 5, pp 1289–1305 | Cite as

Relativistic two and three-particle states

  • A. McKerrell
Article

Summary

Two-particle states transforming according to standard representations of the inhomogeneous Lorentz group are constructed which, in the centre-of-mass system, are eigenstates of orbital and spin angular momentum operators. The connection between these and helicity states is derived and a recoupling coefficient for three-particle states in the former scheme found.

Riassunto

Si costruiscono stati di due particelle, che si trasformano secondo le rappresentazioni normali del gruppo di Lorentz non omogeneo e che, nel sistema del centro di massa sono autostati degli operatori del momento angolare orbitale e di spin. Si deduce la connessione fra questi e gli stati di elicità e si trova un coefflciente di riaceoppiamento per gli stati di tre particelle nello schema precedente.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. (1).
    E. P. Wigner:Ann. Math.,40, 149 (1939).ADSMathSciNetCrossRefGoogle Scholar
  2. (2).
    G. C. Wick:Ann. Phys.,18, 65 (1962). We refer to this paper as W.ADSMathSciNetCrossRefGoogle Scholar
  3. (3).
    A. J. Macfaklaxe:Journ. Math. Phys.,4, 490 (1963), referred to as M.ADSCrossRefGoogle Scholar
  4. (4).
    A. R. Edmonds:Angular Momentum in Quantum Mechanics (Princeton, 1957).Google Scholar
  5. (5).
    L. Durand: inLectures in Theoretical Physics, vol.4, Ed. Brittin, Downs and Dowxs (New York and London, 1962).Google Scholar
  6. (6).
    M. Jacob andG. C. Wick:Ann. Phys.,7, 404 (1959).ADSMathSciNetCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica 1964

Authors and Affiliations

  • A. McKerrell
    • 1
  1. 1.Department of Natural PhilosophyThe UniversityGlasgow

Personalised recommendations