0372-400Х (Edition in Ukrainian)
2071-0186 (Edition in English)
2071-0194 (in electronic form)
Abbreviated key title: Ukr. J. Phys.
I.P. Shamyakin Mozyr State Pedagogical University
(28, Studencheskaya Str., Mozyr 247760, Belarus)
Spin-Zero Cox's particle With Intrinsic Structure: General Analysis in External Electromagnetic and Gravitational Fields
Section: Fields and elementary particles
Abstract: The relativistic theory of Coxfs scalar non-point particle with intrinsic structure in the Proca approach in external uniform magnetic and electric fields in the Minkowski space is developed. A generalized Klein.Gordon.Fock equation is derived and is detailed in the presence of uniform magnetic and electric fields. The extension of this formalism to the arbitrary Riemannian space-time background is given. For a special class of curved metrics allowing for the existence of nonrelativistic wave equations, a generalized SchrNodinger-type quantum mechanical equation for Coxfs particle is derived. This generally covariant formalism is suitable in the presence of external magnetic and electric fields. It is shown that, in the most general form, the extended first-order Proca-like system of tensor equations contains non-minimal interaction terms through the electromagnetic tensor Fαβ and the Ricci tensor Rαβ .
Key words: zero spin, intrinsic structure, Cox’s particle, generalized Schr¨odinger equation, magnetic field, electric field, Minkowski space, Riemannian space.