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Matrix form and certain solutions of the Feynman-Gell-Mann type equations for a spin-3/2 particle

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We consider a P-odd variant of a spin-3/2 particle theory in the matrix formulation. We determine a matrix algebra of a first-order equation. We find solutions of the free equation for a massive particle in the form of projection matrices-dyads. We obtain exact solutions of the equation in the case of an external plane wave field with linear polarization and in the case of an axially symmetric magnetic field.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 3–8, October, 1987.

The authors wish to thank A. A. Bogush for his interest in this work and useful discussions.

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Kruglov, S.I., Radyuk, A.F. Matrix form and certain solutions of the Feynman-Gell-Mann type equations for a spin-3/2 particle. Soviet Physics Journal 30, 809–813 (1987).

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  • Magnetic Field
  • Exact Solution
  • Plane Wave
  • Matrix Form
  • Massive Particle