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Il Nuovo Cimento A (1965-1970)

, Volume 15, Issue 2, pp 299–304 | Cite as

Quantization of wave equations for zero-mass particles with invariant helicities

  • M. T. Simon
  • M. Seetharaman
  • P. M. Mathews
Article
  • 16 Downloads

Summary

In a recent paper we constructed relativistic wave equations in the standard formi∂ψ/∂t= (ψD(0,s) ⊕D(s, 0)) for zeromass particles with invariant helicities. Outlining the essential steps only, we present in this short paper the details of second quantization of these equations.

Квантование волновых уравнений для частиц нулевой массы с инвариантными спиралыюстями

Реэюме

В недавней работе мы сконструировали релятивистские уравнения в стандартной форме i∂ψ/∂t = Нψ (ψ∼D(0, в) ⊕ D(s, 0)) для частиц нулевой массы с инвариантными спиральностями. Намечая лищь основные зтапы, мы в зтой короткой статье приводим детали только вторичного квантования зтих уравнений.

Riassunto

In un recente articolo abbiamo costruito le equazioni d’onda relativistiche nella forma normalei∂ψ/∂t= (ψD(0,s) ⊕D(s, 0)) per particelle di massa nulla con elicità invarianti. Delineando solo i passaggi principali presentiamo in questo breve articolo i dettagli della seconda quantizzazione di queste equazioni.

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References

  1. (1).
    M. Seetharaman, M. T. Simon andP. M. Mathews:Wave equations for zero-mass particles with invariant helicities (Nuovo Cimento, A, in press).Google Scholar
  2. (2).
    M. T. Simon, P. M. Mathews andM. Seetharaman:Massless fields and the transformation property of noninvariant helicity states, to be published.Google Scholar
  3. (3).
    P. M. Mathews:Phys. Rev.,143, 985 (1966).MathSciNetCrossRefADSGoogle Scholar
  4. (4).
    P. M. Mathews:Phys. Rev.,155, 1415 (1967); see also inLectures in Theoretical Physics (Boulder Summer Institute, 1969) (New York, 1970).CrossRefADSGoogle Scholar
  5. (5).
    S. S. Schweber:An Introduction to Relativistic Quantum Field Theory, Chap. 9 (New York, 1961).Google Scholar

Copyright information

© Società Italiana di Fisica 1973

Authors and Affiliations

  • M. T. Simon
    • 1
  • M. Seetharaman
    • 1
  • P. M. Mathews
    • 1
  1. 1.Department of Theoretical PhysicsUniversity of MadrasMadras

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