Solutions of Schrodinger equation with generalized Cornell potential (GCP) and its applications to diatomic molecular systems in D-dimensions using extended Nikiforov–Uvarov (ENU) formalism
Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba, Nigeria
2 Theoretical Physics Programme, National Mathematical Centre, Abuja, Nigeria
3 Department of Physics, Akwa Ibom State University, P. M. B. 1167, Uyo, Nigeria
4 Department of Physics, National Open University of Nigeria, Jabi-Abuja, Nigeria
5 Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria
6 Department of Physics, College of Sciences, University of Bisha, P. O. Box 344, 61922, Bisha, Saudi Arabia
7 Physics Department, Faculty of Science, Al-Azhar University, 71524, Assiut, Egypt
Accepted: 12 December 2022
Published online: 25 December 2022
The D-dimensional Schrodinger equation with generalized Cornell potential (GCP) is transformed into a form that is compatible with extended Nikiforov–Uvarov (ENU) method, and its approximate solutions are obtained using this formalism. The energy spectrum for the GCP is obtained in closed form, and the wave function is determined using the biconfluent Heun differential equation. Some numerical results are shown to illustrate the behaviour of the bound state energies at different quantum states for various dimensions and selected diatomic molecular systems. In addition, the thermodynamic property expressions for GCP are obtained in closed form, and their variation with temperature is discussed extensively for various dimensions and selected diatomic molecular systems. In addition, the mass spectra of GCP and their special cases are studied for heavy mesons. Our results agree with those obtained in the literature.
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