Effects of Magnetic And Aharanov-Bohm (AB) Fields on the Energy Spectra of the Yukawa Potential

• URL: http://arxiv.org/abs/2012.08644v1
• Date: Tue, 15 Dec 2020 22:02:29 GMT
• Title: Effects of Magnetic And Aharanov-Bohm (AB) Fields on the Energy Spectra of the Yukawa Potential
• Authors: Collins Edet
• Abstract summary: 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 results from this study can be applied in condensed matter physics, atomic and molecular physics.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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