Work

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

Year: 2025

Type: article

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.

Source: Mathematics

DOI: 10.3390/math13091524

Authors: Haifa I. Alrebdi, Uduakobong S. Okorie, Ridha Horchani, Gaotsiwe J. Rampho, Akpan N. Ikot

Institutions: Princess Nourah bint Abdulrahman University, University of South Africa, Sultan Qaboos University, University of Port Harcourt

Language: English

Topic: Quantum Mechanics and Non-Hermitian Physics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funders: Princess Nourah Bint Abdulrahman University, University of South Africa