Quantization of the spin-3/2 field in the presence of interactions. I

The electrodynamics of spin-3/2 particles is discussed in this paper. In particular, the spin-3/2 field in the presence of the minimal electromagnetic interaction is quantized by using the Yang-Feldman formalism. The Hamiltonian for this system is obtained explicitly and the commutation relations derived in this paper are shown to be consistent with Heisenberg's equations of motion. In this formalism, the condition for the anticommutator between a spin-3/2 field and its Hermitian conjugate to be positive definite is simple to formulate.