Abstract
Relativistic quantum-mechanical description of electromagnetic, inertial, and gravitational interactions of a Proca (spin-1) particle is presented. Covariant equations defining electromagnetic interactions of a Proca particle with the anomalous magnetic and electric dipole moments in Riemannian spacetimes are formulated. The relativistic Foldy–Wouthuysen transformation with allowance for only terms proportional to the zero power of the Planck constant is performed as an example. The Hamiltonian obtained agrees with the corresponding Hamiltonians derived for scalar and Dirac particles and with their classical counterpart.
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ACKNOWLEDGMENTS
This work was supported in part by the Belarusian Republican Foundation for Fundamental Research (Grant no. \(\Phi \)16D-004) and by the Heisenberg–Landau program of the German Ministry for Science and Technology (BMBF).
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1The article is published in the original.
2Talk at the International Workshop “Supersymmetries and Quantum Symmetries SQS’2017”.
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Silenko, A.J. Proca Particle in Riemannian Spacetimes. Phys. Part. Nuclei 49, 932–935 (2018). https://doi.org/10.1134/S1063779618050350
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DOI: https://doi.org/10.1134/S1063779618050350