Square Root ” of the Proca Equation : Spin - 3 / 2 Field Equation
نویسنده
چکیده
An equation describing particles with spin 3/2 is derived. This equation can be considered as " square root " of the Proca equation in the same sense as the Dirac equation is related to the Klein-Gordon-Fock equation. The equation considered involves fields with spin-3/2 and spin-1/2 (one copy), i.e. multi-spin 1/2, 3/2. The projection operators extracting states with definite energy, spin, and spin projections are obtained. All independent solutions of the equation are expressed through projection matrix-dyads. The first order relativis-tic wave equation in 20-dimensional space, the relativistically invariant bilinear form and the corresponding Lagrangian are given.
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