Exact solutions of [Formula: see text]-dependent Schrödinger equation with quantum pseudo-harmonic oscillator and its applications for the thermodynamic properties in normal and superstatistics.

Autor: Okorie US; Department of Physics, Akwa Ibom State University, Ikot Akpaden, P.M.B. 1167, Uyo, Nigeria., Ikot AN; Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba, Nigeria., Okon IB; Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria., Obagboye LF; Theoretical Physics Programme, National Mathematical Centre, Abuja, Nigeria., Horchani R; Department of Physics, College of Science, Sultan Qaboos University, P. C., 123, Al-Khod, P.O. Box 36, Muscat, Sultanate of Oman., Abdullah HY; Physics Education Department, Faculty of Education, Tishk International University, 44001 Erbil, Iraq., Qadir KW; Department of Physics, College of Education, Salahaddin University-Erbil, Erbil, 44002 Kurdistan Region Iraq., Abdel-Aty AH; Department of Physics, College of Sciences, University of Bisha, P. O. Box 344, Bisha, 61922 Saudi Arabia.
Jazyk: angličtina
Zdroj: Scientific reports [Sci Rep] 2023 Feb 06; Vol. 13 (1), pp. 2108. Date of Electronic Publication: 2023 Feb 06.
DOI: 10.1038/s41598-023-28973-7
Abstrakt: The effects of the curvature parameters on the energy eigenvalues and thermodynamic properties of quantum pseudoharmonic oscillator are investigated within the framework of nonrelativistic quantum mechanics. By employing Nikiforov-Uvarov method, the energy spectra are obtained and used to study the ordinary statistics and q-deformed superstatistics as a function of temperature in the presence and absence of the curvature parameters. It is shown that the q-deformed supertatistics properties of the quantum pseudoharmonic oscillator reduce to the ordinary statistical properties in the absence of the deformation parameter. Finally, our results are illustrated graphically to show the behaviour of the energy spectra and thermodynamic properties for the three curvature parameters:[Formula: see text].
(© 2023. The Author(s).)
Databáze: MEDLINE
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