Estimation of Energy Eigenvalues using an Exponential Screened plus Yukawa Potential under the Influence of an External Magnetic Field

Authors

  • Peter John Manga Department of Physics, University of Maiduguri, Borno state Author
  • Ramoni O. Amusat Department of Physics, University of Maiduguri, Borno State - Nigeria Author
  • Amina Ali Dibal Department of Physics, University of Maiduguri, Borno State - Nigeria Author
  • Aliyu Adamu Department of Physics, University of Maiduguri, Borno State - Nigeria Author
  • Shelk Abdul Ubale Department of Fine and Applied Art, Aminu Saleh College of Education, Azare, Bauchi State - Nigeria Author

DOI:

https://doi.org/10.70882/josrar.2025.v2i3.83

Keywords:

Magnetic Field, Magnetic Flux, Partition Function, Magnetisation, Magnetic Susceptibility

Abstract

Diatomic molecules play a key role in molecular physics and quantum chemistry because of their simple structure and their usefulness in studying how molecules behave under external factors. Examining the impact of influences like magnetic fields and Aharonov-Bohm (AB) flux on their quantum properties is essential for advancements in areas such as quantum control, molecular spectroscopy, and condensed matter research. In this study, numerical calculations were conducted to validate the computed results, revealing that both the external magnetic field B(T) and flux   significantly affect the energy levels of the selected diatomic molecules. At zero temperature, the energy eigenvalues indicate a slight decrease in magnetization  and magnetic susceptibility under varying magnetic field B(T) and flux , with hydrogen  exhibiting an overlap at specific field strengths B(T). Magnetization  generally increases with both magnetic field B(T) and flux  as temperature changes, while for Co, it decreases with rising temperature but increases when plotted against temperature as magnetic field B(T) and flux   vary. A similar pattern is observed in  and . Additionally, partition function results show that temperature, magnetic field B(T) and flux   strongly influence the bound state energy eigenvalues, leading to a slight increase in the thermal properties of these diatomic molecules.

References

Abu-Shady, M., & Khokha, E. M. (2023). A precise estimation for vibrational energies of diatomic molecules using the improved Rosen–Morse potential. Scientific Reports, 13(1), 11578.

Ding, Y., & Wang, Z. Q. (2011). Bound states of nonlinear Schrödinger equations with magnetic fields. Annali di Matematica Pura ed Applicata, 190(3), 427-451.

Dong, S. H. (2000). Exact solutions of the two-dimensional Schrödinger equation with certain central potentials. International Journal of Theoretical Physics, 39(4), 1119-1128.

Edet, C. O., Amadi, P. O., Onyeaju, M. C., Okorie, U. S., Sever, R., Rampho, G. J., & Ikot, A. N. (2021). Thermal properties and magnetic susceptibility of Hellmann potential in Aharonov–Bohm (AB) flux and magnetic fields at zero and finite temperatures. Journal of Low Temperature Physics, 202(1), 83-105.

Ettah, E. (2021). The Schrödinger Equation with Deng-Fan-Eckart Potential (DFEP): Nikiforov-Uvarov-Functional Analysis (NUFA) Method. European Journal of Applied Physics, 3(5), 58-62.

Ikot, A. N., Okorie, U. S., Amadi, P. O., Edet, C. O., Rampho, G. J., & Sever, R. (2021). The Nikiforov–Uvarov-Functional Analysis (NUFA) Method: A new approach for solving exponential-type potentials. Few-Body Systems, 62(1), 9.

Jia, C. S., Diao, Y. F., Liu, X. J., Wang, P. Q., Liu, J. Y., & Zhang, G. D. (2012). Equivalence of the Wei potential model and Tietz potential model for diatomic molecules. The Journal of chemical physics, 137(1).

Lublinsky, M., & Mulian, Y. (2017). High Energy QCD at NLO: from light-cone wave function to JIMWLK evolution. Journal of High Energy Physics, 2017(5), 1-80.

Manga, P. J., Amusat, R. O., Teru, P. B., Dibal, A. A., Likta, W. E., Omolara, O. V., ... & Ubale, S. A. (2025A). Determination of Thermodynamic Properties via Partition Function Approaches Derived from the Non-Relativistic Schrödinger Equation. Nigerian Journal of Theoretical and Environmental Physics, 3(2), 42-59.

Manga, P. J., Amusat, R. O., Teru, P. B., Likta, E. W., Dibal, A. A., Yahaya, M. N., & Isyaku, S. (2025B). COMPUTING ENERGY FLUCTUATIONS IN DIATOMIC MOLECULES THROUGH THERMODYNAMIC PROPERTIES USING THE PARTITION FUNCTION APPROACH. Science World Journal, 20(2), 760-773.

Manga, P. J., Buteh, S. D., Maina, M., Amusat, R. O., Teru, P. B., Hashimu, M. U., & John, D. S. (2023). Solutions of Schrödinger equation based on Modified Exponential Screened Plus Yukawa Potential (MESPYP) within the frame of parametric Nikiforov-Uvarov method. Dutse Journal of Pure and Applied Sciences, 9(3b), 144-154.

Manga, P. J., Likta, E. W., & Teru, P. B. (2021). Comparative Study on Charged and Neutral Pion-Nucleon Coupling Constants Using Yukawa Potential Model. FUDMA JOURNAL OF SCIENCES, 5(4), 167-173.

Mulian, Y. (2025). The Magnus expansion for non-Hermitian Hamiltonians. arXiv preprint arXiv:2505.09559.

Onate, C., Okon, I. B., Onyeaju, M. C., & Antia, A. D. (2022). Approximate solutions of the Schrodinger Equation for a Momentum-Dependent potential. Journal of the Nigerian Society of Physical Sciences, 242-250.

Reiss, H. R. (1980). Effect of an intense electromagnetic field on a weakly bound system. Physical Review A, 22(5), 1786.

Umirzakov, I. (2019). Incorrectness of analytical solution of Schrodinger equation for diatomic molecule with shifted Tietz-Wei potential. arXiv preprint arXiv:1902.04977.

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Published

2025-07-29

How to Cite

Manga, P. J., Amusat, R. O., Dibal, A. A., Adamu, A., & Ubale, S. A. (2025). Estimation of Energy Eigenvalues using an Exponential Screened plus Yukawa Potential under the Influence of an External Magnetic Field. Journal of Science Research and Reviews, 2(3), 66-79. https://doi.org/10.70882/josrar.2025.v2i3.83