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arXiv · 1712.08625

Relativistic quantum mechanics of a Proca particle in Riemannian spacetimes

Alexander J. Silenko
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Abstract

Relativistic quantum mechanics of a Proca (spin-1) particle in Riemannian spacetimes is constructed. Covariant equations defining electromagnetic interactions of a Proca particle with the anomalous magnetic moment and the electric dipole moment in Riemannian spacetimes are formulated. The relativistic Foldy-Wouthuysen transformation with allowance for terms proportional to the zero power of the Planck constant is performed. The Hamiltonian obtained agrees with the corresponding Foldy-Wouthuysen Hamiltonians derived for scalar and Dirac particles and with their classical counterpart. The unification of relativistic quantum mechanics in the Foldy-Wouthuysen representation is discussed.

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Alexander J. Silenko. 2017-12-22. Relativistic quantum mechanics of a Proca particle in Riemannian spacetimes. https://doi.org/10.1103/physrevd.98.025014

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