International "Başkent" Congress on Physcial, Social and Health Sciences, Ankara, Turkey, 16 - 17 July 2021, pp.95-99
We study the
relativistic dynamics of a vector boson particle under the influence of an
attractive Coulomb-type potential in one spatial dimension. In order to determine
the dynamics of such a particle we solve the relativistic vector boson
equation. This equation has been obtained as an excited state from the
canonical quantization of the classical action of spinning particle with
Zitterbewegung. The corresponding equation
leads 4x4 dimensional matrix equation and we perform
exact solution of the matrix equation. Our results not only give the well-known
non-relativistic energy levels but also include relativistic corrections to
these energy levels of the test field under scrutiny.