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ISSN 2071-0194   Ukr. J. Phys. 2015, Vol. 60, N 6, p.485-496
doi:10.15407/ujpe60.06.0485   Paper

Ovsiyuk E.M.
  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
Language: English

Abstract: The relativistic theory of Coxfs 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 SchrNodinger-type quantum mechanical equation for Coxfs 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.