Exact solutions of κ -dependent Schrödinger equation with quantum pseudo-harmonic oscillator and its applications for the thermodynamic properties in normal and superstatistics

Uduakobong S. Okorie, Akpan N. Ikot, Ituen B. Okon, Lewis F. Obagboye, Ridha Horchani*, Hewa Y. Abdullah, Karwan W. Qadir, Abdel Haleem Abdel-Aty

*Corresponding author for this work

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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:κ=-1,κ=1andκ=0.

Original languageEnglish
Article number2108
JournalScientific Reports
Issue number1
Publication statusPublished - Dec 2023
Externally publishedYes

ASJC Scopus subject areas

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