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A system of first-order differential equations for a particle with nonzeromass and spin $S = 1$ is constructed. As distinct from the Proca-Duffin-Kemmer(PDK) equations, the system has the form of the dynamical equation$i\hbar\partial_t\hat{\Psi}=\hat{\mathrm{H}}\hat{\Psi}$ (with constraints) witha Hamiltonian linear in momentum. The six-component wave function yields thepositive-definite probability density $\hat{\Psi}^{\dagger}\hat{\Psi}\geq 0$.The system of equations has much in common with the Dirac and Maxwellequations.

First-order differential equations for a particle with spin $S = 1$