Thermophysical Properties and Expectation Values for Pöschl–Teller-like Pseudo-Harmonic Oscillator

Haifa I. Alrebdi, Uduakobong S. Okorie, Ridha Horchani, Gaotsiwe J. Rampho and Akpan N. Ikot ()
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Haifa I. Alrebdi: Department of Physics, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Uduakobong S. Okorie: Department of Physics, University of South Africa, Florida Campus, Johannesburg 1710, South Africa
Ridha Horchani: Department of Physics, College of Science, Sultan Qaboos University, P. C. 123, Al-Khod, Muscat P.O. Box 36, Oman
Gaotsiwe J. Rampho: Department of Physics, University of South Africa, Florida Campus, Johannesburg 1710, South Africa
Akpan N. Ikot: Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba P.M.B. 5323, Nigeria

Mathematics, 2025, vol. 13, issue 9, 1-26

Abstract: The Nikiforov–Uvarov functional analysis (NUFA) formalism is employed to study approximately the eigensolutions of the Schrodinger equation with the Pöschl–Teller-like pseudo-harmonic oscillator (PTPO). The variations in the energy spectra and the wave functions as a function of the screening parameters for different quantum states were investigated. With the energy expression of PTPO, the partition function and other thermodynamic function were obtained as a function of temperature for different values of the screening parameters using the Euler–Maclaurin formula. Using the Hellmann–Feynman theorem (HFT), we evaluate the expectation values of PTPO numerically and graphically for various values of the screening parameters and quantum states. It is observed that the eigensolutions, thermodynamic functions and expectation values of PTPO system are influenced by quantum states, screening parameters and temperature.

Keywords: eigensolution; pseudo-harmonic oscillator; partition function; entropy; expectation values (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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