Electromagnetic and Gravitational Interactions of a Proca Particle

Abstract

Electromagnetic and gravitational interactions of a Proca particle with the anomalous magnetic moment and the electric dipole moment are analyzed. For the Proca particle in electromagnetic fields, a relativistic Hamiltonian in the Foldy-Wouthuysen representation and corresponding equations of motion are obtained. Covariant equations describing the Proca particle in Riemannian spacetimes with allowance for electromagnetic interactions are formulated. The derived relativistic Foldy-Wouthuysen Hamiltonian agrees with the corresponding Hamiltonians obtained for scalar and Dirac particles and with their classical counterpart. The unification of relativistic quantum mechanics in the Foldy-Wouthuysen representation is discussed.