CARBON MONOXIDE UNDER THE COULOMB-HULTHÉN-PÖSCHL-TELLER POTENTIAL: A QUANTUM STABILITY ANALYSIS

Authors

  • O. Ebomwonyi Department of Physics, University of Benin, Benin City, Nigeria Author
  • A. Adebisi Department of Physics, Edo University, Iyamho, Nigeria Author

DOI:

https://doi.org/10.60787/tnamp.v25.720

Keywords:

Carbon monoxide, Coulomb-HulthénPöschl-Teller potential, Stability, Formula Method, energy eigenvalues

Abstract

The quantum mechanical stability of carbon monoxide molecule (CO) with the Coulomb-Hulthén-Pöschl-Teller (CHPT) potential was investigated using the Formula Method. The computed energy spectrum of the investigated quantum states lies below the dissociation threshold, suggesting persistent molecular stability over the screening interval considered. The absence of level crossing and the smooth changes of the energy eigenvalues show that the CHPT potential gives a physically consistent description of the behavior of the bound state of CO. A stability phase-diagram and a percentage stability-loss analysis were also used to quantify the stability characteristic of CO to illustrate the steady reduction in molecular binding with increase in screening. The CHPT potential results of this study compared with those reported for diatomic molecules show that it gives a reliable framework for describing the quantum stability of CO, and also offering a different approach for the investigation of bound state properties of diatomic molecules.

         Views | Downloads: 72 / 20

Downloads

Download data is not yet available.

References

Dong, S.H. (2007). Factorization Method in Quantum Mechanics. Springer, Amsterdam, 150-155. https://doi.org/10.1007/978-1-4020-5796-0.

Griffiths, D.J. and Schroeter, D.F. (2018). Introduction to Quantum Mechanics. Cambridge University Press, Cambridge. https://doi.org/10.1017/9781316995433.

Flügge, S. (1999). Practical Quantum Mechanics II. Springer Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65114-4.

Herzberg, G. (1950). Molecular Spectra and Molecular Structure. I. Spectra of Diatomic Molecules, Van Nostrand, Princeton, 194-204.

Huber, K.P. and Herzberg, G. (1979). Molecular Spectra and Molecular Structure: IV Constants of Diatomic Molecules. Van Nostrand Reinhold Company, New York. http://dx.doi.org/10.1007/978-1-4757-0961-2.

Lefebvre-Brion, R. and Field, R.W. (2004). The Spectra and Dynamics of Diatomic Molecules: Revised and Enlarged Edition. Elsevier Academic Press. https://doi.org/10.1016/b978-0-12-441455-6.X5000-8.

Morse, P.M. (1929). Diatomic molecules according to the wave mechanics. Physical Review, 34(1), 57–64.

Kratzer, A. (1920). Die ultraroten Rotationsspektren der Halogenwasserstoffe. Zeitschrift fü Physik, 3, 289–307.

Hulthén, L. (1942). On the theory of screened Coulomb fields. Arkiv för Matematik, Astronomi och Fysik, 28A, 1–28.

Manning, M.F. and Rosen, N. (1933). A potential function for the vibrations of diatomic molecules. Physical Review, 44(11), 953–959.

Deng, Z.H. and Fan, Y.P. (1957). A potential function of diatomic molecules. Shandong University Journal, 7, 162–168.

Pöschl, G. and Teller, E. (1933). Bemerkungen zur Quantenmechanik des anharmonischen Oszillators. Zeitschrift für Physik, 83, 143–151.

Ikhdair, S.M. and Sever, R. (2010). Exact and approximate solutions of relativistic wave equations for combined interaction potentials. Central European Journal of Physics, 8(5), 652–666.

Onate, C.A. and Ojonubah, J.O. (2016). Thermodynamic properties of systems under generalized Pöschl–Teller and hyperbolical potentials. Journal of Theoretical Physics and Applications, 10, 21–31.

Ita, B.I. and Ikot, A.N. (2012). Solutions of the Schrödinger equation for inversely quadratic Hellmann potentials. Pramana – Journal of Physics, 79(3), 345–357.

Ebomwonyi, O., Onate, C.A., Ekong, S.A. and Onyeaju, M.C. (2019). Thermodynamic properties for the carbon monoxide molecule under the influence of the Coulomb–Hulthén– Pöschl–Teller potential. Journal of Science and Technology Research, 1(1), 122–136.

Dong, S.H. and Cruz-Irisson, M. (2012). Energy spectrum and thermodynamic properties of molecular systems under modified Rosen–Morse interactions. Journal of Mathematical Chemistry, 50, 881–893.

Oyewumi, K.J., Falaye, B.J., Onate, C.A., Oluwadare, O.J. and Yahya, W.A. (2013). Thermodynamic properties and approximate solutions of the Schrödinger equation with shifted Deng–Fan potential model. Molecular Physics, 112(1), 127–141.

Falaye, B.J., Oyewumi, K.J., Ibrahim, T.T. and Punyasena, M.A. (2013). Bound-state solutions and thermodynamic properties of quantum systems under combined potentials. Chinese Physics B, 22(11), 110301.

Falaye, B.J., Ikhdair, S.M. and Hamzavi, M. (2015). Formula method for bound state problems. Few-Body System, 56, 63-78.

Greene, R.L. and Aldrich, C. (1976). Variational wave functions for a screened Coulomb potential. Physical Review A, 14, 2363-2366.

Wei, G.F. and Dong, S.H. (2008). Approximately analytical solutions of the Manning–Rosen potential with the spin–orbit coupling term and spin symmetry. Physics Letters A, 373, 49-53.

Dhahbi, A. and Landolsi, A.A. (2022). The Klein-Gordon equation with equal scalar and vector Bargmann potentials in D dimensions. Results in Physics, 33, 105143.

Okon, I., Onate, C., Omugbe, E., Okorie, U., Antia, A., Onyeaju, M., Wen-Li, C. and Araujo, J. (2022). Approximate solutions, thermal properties and superstatistics solutions to Schrödinger equation. Advances in High Energy Physics, 2022, 5178247.

https://doi.org/10.1155/2022/5178247.

Ita, B.I., Louis, H., Akakuru, O.U. Magu, T.O., Joseph, I., Tchoua, P., Amos, P.I., Effiong, I. and Nzeata, N.A. (2018). Bound state solutions of the Schrödinger equation for the More Generalized Exponential Screened Coulomb Potential plus Yukawa (MGESCY) potential using Nikiforov-Uvarov method. Journal of Quantum Information Science, 8, 24-45.

Downloads

Published

2026-08-18

Issue

Section

Articles

How to Cite

CARBON MONOXIDE UNDER THE COULOMB-HULTHÉN-PÖSCHL-TELLER POTENTIAL: A QUANTUM STABILITY ANALYSIS. (2026). The Transactions of the Nigerian Association of Mathematical Physics, 25, 77-88. https://doi.org/10.60787/tnamp.v25.720

Share

Similar Articles

1-10 of 61

You may also start an advanced similarity search for this article.