Nonrelativistic approximation in the Fierz-Pauli theory for a spin 3/2 particle in presence of external fields

Abstract

In the present paper we derive the nonrelativistic equation for spin 3/2 particle in presence of external electromagnetic and gravitational fields. Starting with the first-order equation in Petras basis, also applying the method of generalized Kronecker symbols and elements of the complete matrix algebras, and decomposing the wave function into big and small nonrelativistic constituents with the help of projective operators, we have derived Pauli-like equation for 4-component function describing the non-relativistic particle with spin 3/2.