Spin and pseudospin symmetries of a relativistic fermion in an elastic medium with spiral dislocations
Faculty of Physics, Shahrood University of Technology, P.O. Box 3619995161-316, Shahrood, Iran
2 Department of Physics, University of South Africa, 1710, Florida, Johannesburg, South Africa
3 Department of Physics, Theoretical Physics Group, University of Port Harcourt, Choba, Nigeria
Accepted: 15 September 2020
Published online: 22 September 2020
In this study, we investigate a relativistic fermion in an elastic medium as well as a linear topological defect by focusing on the spiral dislocation. Then, we solve the coupled Dirac equation in the presence of scalar and vector potentials. We investigate two special cases by focusing on a spin symmetry limit and a pseudospin symmetry limit. After considering a fermion based on the Dirac equation in the background of spiral dislocation, by considering two special cases, in the presence of oscillator and Kratzer-like potentials, we find the energy eigenvalues according to the wave functions by using of analytical methods.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020