ON THE DUFFIN-KEMMER-PETIAU FORMULATION OF THE COVARIANT HAMILTONIAN DYNAMICS IN FIELD THEORY

We show that the De Donder-Weyl (DW) covariant Hamiltonian field Aequationsof any field can be written in universal Duffin-Kemmer-Petiau A(DKP) matrix form. As a consequence, the (modified) DKP matrices(beta)^(mu) (5 x 5 in Afour space-time di-mensions) are of universal significance for all Afields admitting the DW Hamiltonianformulation, not only for a scalar Afield, and can be viewed as field-theoretic analoguesof the symplectic Amatrix, leading to the "k-symplectic" (k=4) structure. We also briefly discuss what could be viewed to be the covariant Poisson Abracket given by(beta)-matrices and the corresponding Poisson bracket Aformulation of DW Hamiltonian field equations.