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Horchani, Ridha, Al-Shafii, Safa, Al-Hashimi, Noora, Ikot, Akpan, Okon, Ituen, Okorie, Uduakobong, Duque, Carlos, Oladimeji, Enoch. (1401). Bound state solutions and thermal properties of the N-dimensional Schrödinger equation with Varshni plus Woods-Saxon potential via Nikiforov-Uvarov method. , 16(4), 1-13. doi: 10.30495/jtap.162243
Ridha Horchani; Safa Al-Shafii; Noora Al-Hashimi; Akpan Ndem Ikot; Ituen B. Okon; Uduakobong Okorie; Carlos A. Duque; Enoch O. Oladimeji. "Bound state solutions and thermal properties of the N-dimensional Schrödinger equation with Varshni plus Woods-Saxon potential via Nikiforov-Uvarov method". , 16, 4, 1401, 1-13. doi: 10.30495/jtap.162243
Horchani, Ridha, Al-Shafii, Safa, Al-Hashimi, Noora, Ikot, Akpan, Okon, Ituen, Okorie, Uduakobong, Duque, Carlos, Oladimeji, Enoch. (1401). 'Bound state solutions and thermal properties of the N-dimensional Schrödinger equation with Varshni plus Woods-Saxon potential via Nikiforov-Uvarov method', , 16(4), pp. 1-13. doi: 10.30495/jtap.162243
Horchani, Ridha, Al-Shafii, Safa, Al-Hashimi, Noora, Ikot, Akpan, Okon, Ituen, Okorie, Uduakobong, Duque, Carlos, Oladimeji, Enoch. Bound state solutions and thermal properties of the N-dimensional Schrödinger equation with Varshni plus Woods-Saxon potential via Nikiforov-Uvarov method. , 1401; 16(4): 1-13. doi: 10.30495/jtap.162243

Bound state solutions and thermal properties of the N-dimensional Schrödinger equation with Varshni plus Woods-Saxon potential via Nikiforov-Uvarov method

Journal of Theoretical and Applied Physics
مقاله 12، دوره 16، شماره 4، اسفند 2022، صفحه 1-13  XML اصل مقاله (898.23 K)
نوع مقاله: Scientific Research Manuscript
شناسه دیجیتال (DOI): 10.30495/jtap.162243
نویسندگان
Ridha Horchani1؛ Safa Al-Shafii1؛ Noora Al-Hashimi1؛ Akpan Ndem Ikotorcid 2؛ Ituen B. Okon3؛ Uduakobong Okorie email orcid 4؛ Carlos A. Duque5؛ Enoch O. Oladimejiorcid 6
1Department of Physics, College of Science, Sultan Qaboos University, Al-Khod, Muscat, Sultanate of Oman.
2Theoretical physics Group, Department of Physics, University of Port Harcourt, Nigeria.
3Department of Physics, University of Uyo, Uyo. Nigeria.
4Department of Physics, Akwa Ibom State University, Uyo. Nigeria.
5Grupo de Materia Condensada‑UdeA, Instituto de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Antioquia UdeA, Medellín, Colombia.
6Department of Physics, Federal university Lokoja (FULOKOJA), Lokoja, Nigeria.
چکیده
We have solved the Schrödinger equation for Varshni plus Woods-Saxon potential in N-dimensions within the framework of Nikiforov-Uvarov method by using Greene-Aldrich approximation scheme to the centrifugal barrier term. We obtained the numerical bound state energies for both physical parameters and some diatomic molecules for various values of screening parameter which characterizes the strength of the potential. We obtained the energy eigen equation in a closed and compact form and applied it to study partition function and other thermodynamic properties as applied to four selected diatomic molecules namely: Nitrogen (N2), Carbon (II) Oxide (CO), Nitrogen Oxide (NO) and Hydrogen (H2) molecules, respectively using experimentally determined spectroscopic parameter. The numerical energy eigenvalues obtained both for physical parameters and for selected diatomic molecules at various dimensions (N = 2, 4 and 6 ) reveals that constant degeneracies occurs for S and P quantum state. The result also shows that 1S-quantum state has the highest bound state energies which are experimentally verified because of its proximity to the nucleus of an atom. To ascertain the accuracy of our work, the thermodynamic spectral diagram produces an excellent curves as compared to work of an existence literature. This research has application in the field of molecular spectroscopy.
کلیدواژه‌ها
N-dimensional Schrö dinger equation؛ Nikiforov-Uvarov method؛ eigenvalues؛ Varshni plus Woods-Saxon potential
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