An Interdisciplinary Journal

* 2018, Vol.21, No.4, pp.335 - 342*

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.

*Key words: *
Proca equations, quantum fields in curved spacetime, Foldy-Wouthuysen
transformation

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Last updated: *December 28, 2018*