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Relativistic scalar equations for a particle with an arbitrary spin

  • Elementary Particle Physics And Field Theory
  • Published:
Russian Physics Journal Aims and scope

Abstract

Relativistic Poincaré-invariant wave equations for zero-mass and heavy particles with an arbitrary spin are constructed on the basis of special infinite-dimensional representation of the Lorentz group. The equations form a compatible system of linear differential equations for an unknown scalar function and contain spin s as a parameter (arbitrary complex number). It is also shown that the equations obtained in this way include the well-known finite-component wave equations as a special case of half-integral or integral spin.

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Literature cited

  1. A. Barut and R. Roncka, Theory of Group Representations and Its Applications [Russian translation], Vols. 1, 2, Mir, Moscow (1980).

    Google Scholar 

  2. F. I. Fedorov, Dokl. Akad. Nauk SSSR, 37–40 (1952).

  3. V. I. Fuschich and A. G. Nikitin, Elem. Chastitsy Atom. Yadra, No. 12, Vyp. 5, 1157–1219 (1981).

    Google Scholar 

  4. V. I. Fushchich and A. G. Nikitin, Symmetry of Equations in Quantum Mechanics [in Russian], Nauka, Moscow (1990).

    Google Scholar 

  5. I. M. Gel'fand and A. M. Yaglom, Zh. Éksp. Teor. Fiz.,18, 703–733 (1948).

    Google Scholar 

  6. S. P. Onufriichuk, Teor. Mat. Fiz.,84, No. 3 (1990).

  7. A. V. Shapovalov and I. V. Shirokov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 4, 95–100 (1991).

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Authors
  1. I. V. Shirokov
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Additional information

State University, Omsk. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 39–44, June, 1992.

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Shirokov, I.V. Relativistic scalar equations for a particle with an arbitrary spin. Russ Phys J 35, 524–529 (1992). https://doi.org/10.1007/BF00559174

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  • DOI: https://doi.org/10.1007/BF00559174

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