EXACT SOLUTION OF VECTOR BOSON EQUATION FOR COULOMB POTENTIAL IN 1+1 DIMENSIONS


Güvendi A.

International "Başkent" Congress on Physcial, Social and Health Sciences, Ankara, Turkey, 16 - 17 July 2021, pp.95-99

  • Publication Type: Conference Paper / Full Text
  • City: Ankara
  • Country: Turkey
  • Page Numbers: pp.95-99

Abstract

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.