Analytical Solutions of the Schrodinger Equation with q-Deformed Modified Mobius Square Potential Using the Nikiforov-Uvarov Method

Authors

  • Samson Osinachi Nwadibia University of Port Harcourt, Choba, Port Harcourt, Nigeria
  • Hilary Patrick Obong University of Port Harcourt, Choba, Port Harcourt, Nigeria
  • Ephraim Okechukwu Chukwuocha University of Port Harcourt, Choba, Port Harcourt, Nigeria

Keywords:

Schrödinger Equation, Nikiforov-Uvarov method, ; q-deformed Modified Mobius Square Potential, Energy Spectra

Abstract

Communication in Physical Sciences, 2023, 9(4): 483-499

Authors: Samson Osinachi Nwadibia, Hilary Patrick Obong and Ephraim Okechukwu Chukwuocha

Received: 06 May 2023/Accepted 12 August 2023

In this study, a new potential named the “q-deformed modified Mobius square potential (MMSP)” is proposed. The Schrodinger equation with this model is solved using the famous Nikiforov-Uvarov (NU) method to obtain the energy equation and wave function of this system. The effects of the potential parameters and deformation parameter  is analysed numerically and graphically. Findings reveal that the energy of the system increases as the deformation parameter increases. This implies that the deformation could be used as a regulator or booster to manipulate the energy spectra of the system. The findings from this study will apply to atomic and molecular physics and chemical physics.

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Author Biographies

Samson Osinachi Nwadibia, University of Port Harcourt, Choba, Port Harcourt, Nigeria

Department of Physics

Hilary Patrick Obong, University of Port Harcourt, Choba, Port Harcourt, Nigeria

Department of Physics

Ephraim Okechukwu Chukwuocha, University of Port Harcourt, Choba, Port Harcourt, Nigeria

Department of Physics

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Published

2023-08-23