The Dirac equation in (1 + 2) -dimensional Gürses space-time backgrounds

Abstract

In this article, we investigate the relativistic quantum dynamics of spin-1 2 particles in (1+2)-dimensional Gürses space-time backgrounds, and analyze the effects on the eigenvalues. We solve the Dirac equation using the Nikiforov-Uvarov method in the considered framework, and evaluate the energy eigenvalues and corresponding wave function.

Spinor solutions of a Chern-Simons model for the superconformal algebra

“…Since spinor fields are sources of the gravitational fields the system as a whole possesses solutions only in case of some additional conditions on metric functions [15]. See also recently solutions in Gödel-type geometries [16]. In [17], there were found numerical solutions for a non-minimally coupled, gravitating spinor in a FRW background.…”

Spinor solutions of a Chern–Simons model for the superconformal algebra

“…Since spinor fields are sources of the gravitational fields the system as a whole possesses solutions only in case of some additional conditions on metric functions [18]. See also recently solutions in Gödel-type geometries [19]. In [20], there were found numerical solutions for a non-minimally coupled, gravitating spinor in a Friedmann-Robertson-Walker (FRW) background.…”

Investigation of a Spin-0 Massive Charged Particle Subject to a Homogeneous Magnetic Field with Potentials in a Topologically Trivial Flat Class of Gödel-Type Space-Time

“…The Dirac particles in a flat class of Gödel-type space-time were studied in [5]. Dirac fermions in the ð1 + 2Þ-dimensional rotational symmetry space-time background were investigated in [33].…”