Relativistic quantum mechanics of a Proca particle in Riemannian spacetimes

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.

26 pages, final version

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Cited by in corpus (5)

• Position and spin in relativistic quantum mechanics
• Relativistic quantum-mechanical description of twisted paraxial electron and photon beams
• Non-Abelian Proca-Dirac-Higgs theory: particle-like solutions and their energy spectrum
• Spin-Vorticity Coupling for Massive Vector Mesons
• Symplectic quantization of multi-field Generalized Proca electrodynamics