Quantized momentum eigenstates and thermodynamic properties of the Feinberg–Horodecki equation for the time-dependent Wei-Hua oscillator

Author:

Horchani R.1,Ikot A.N.2,Okon I.B.3ORCID,Okorie U.S.4,Obagboye L.F.5,Ahmadov A.I.67,Abdullah H.Y.8,Qadir K.W.910,Abdel-Aty Abdel-Haleem1112

Affiliation:

1. Department of Physics, College of Science, Sultan Qaboos University, P.O. Box 36, P. C. 123, Al-Khod, Muscat, Sultanate of Oman

2. Department of Physics, Theoretical Physics Group, University of Port Harcourt, Choba, Nigeria

3. Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria

4. Department of Physics, Akwa Ibom State University, Ikot Akpaden, Nigeria

5. National Mathematical Centre, Abuja, Nigeria

6. Department of Theoretical Physics, Baku State University, Z. Khalilov st. 23, Baku AZ1148, Azerbaijan

7. Institute for Physical Problems, Baku State University, Z. Khalilov st. 23, AZ1148, Baku, Azerbaijan

8. Physics Education Department, Faculty of Education, Tishk International University, Erbil 44001, Kurdistan Region, Iraq

9. Department of Physics, College of Education, Salahaddin University-Erbil, Erbil 44002, Kurdistan Region, Iraq

10. Renewable Energy Technology Department, Erbil Technology College, Erbil Polytechnic University, Erbil 44001, Kurdistan Region, Iraq

11. Department of Physics, Colleage of Sciences, University of Bisha, P.O. Box 344, Bisha 61922, Saudi Arabia

12. Physics Department, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt

Abstract

In this study, we obtained exact solutions of the Feinberg–Horodecki equation for the time-dependent Wei-Hua potential, which is constructed by the temporal counterpart of the spatial form of this potential. We obtained the quantized momentum eigenvalues and the corresponding wave functions. We obtained the partition function for the system and studied other thermodynamic properties that include vibrational mean momentum ( U), vibrational specific heat capacity ( C), vibrational entropy ( s), and vibrational free momentum ( F) as a signature in the momentum space.

Publisher

Canadian Science Publishing

Subject

General Physics and Astronomy

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