Effects of Magnetic And Aharanov-Bohm (AB) Fields on the Energy Spectra of the Yukawa Potential
arXiv:2012.08644
Abstract
In this article, the Yukawa potential is scrutinized taking into consideration the effects of magnetic and AB flux fields within the non-relativistic regime using the factorization method. The energy equation and wave function of the system are obtained in close form. We find that the all-encompassing effects result in a strongly attractive system and consequently there is a significant upward shift in the bound state energy of the system. We also find that to achieve a low-energy medium for the Yukawa potential, weak magnetic field is required, however the AB flux field can be used as a controller. The magnetic and AB fields eliminates the degeneracy from the spectra. From our findings, it could be concluded that to manipulate the energy spectra of this system, the AB-flux and magnetic field will do so greatly. The results from this study can be applied in condensed matter physics, atomic and molecular physics.
2110 words, 1 table, 5 pages, submitted to 3rd International Conference on Technology and Science Techno-Science 2020, Antalya, Turkey