Thermophysical Properties and Expectation Values for Pöschl–Teller-like Pseudo-Harmonic Oscillator
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 parame...
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2025-05-01
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| author | Haifa I. Alrebdi Uduakobong S. Okorie Ridha Horchani Gaotsiwe J. Rampho Akpan N. Ikot |
| author_facet | Haifa I. Alrebdi Uduakobong S. Okorie Ridha Horchani Gaotsiwe J. Rampho Akpan N. Ikot |
| author_sort | Haifa I. Alrebdi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-545ca1257a3c4672ad91c0e2b4913b2c |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-545ca1257a3c4672ad91c0e2b4913b2c2025-08-20T03:53:01ZengMDPI AGMathematics2227-73902025-05-01139152410.3390/math13091524Thermophysical Properties and Expectation Values for Pöschl–Teller-like Pseudo-Harmonic OscillatorHaifa I. Alrebdi0Uduakobong S. Okorie1Ridha Horchani2Gaotsiwe J. Rampho3Akpan N. Ikot4Department of Physics, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Physics, University of South Africa, Florida Campus, Johannesburg 1710, South AfricaDepartment of Physics, College of Science, Sultan Qaboos University, P. C. 123, Al-Khod, Muscat P.O. Box 36, OmanDepartment of Physics, University of South Africa, Florida Campus, Johannesburg 1710, South AfricaTheoretical Physics Group, Department of Physics, University of Port Harcourt, Choba P.M.B. 5323, NigeriaThe 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.https://www.mdpi.com/2227-7390/13/9/1524eigensolutionpseudo-harmonic oscillatorpartition functionentropyexpectation values |
| spellingShingle | Haifa I. Alrebdi Uduakobong S. Okorie Ridha Horchani Gaotsiwe J. Rampho Akpan N. Ikot Thermophysical Properties and Expectation Values for Pöschl–Teller-like Pseudo-Harmonic Oscillator Mathematics eigensolution pseudo-harmonic oscillator partition function entropy expectation values |
| title | Thermophysical Properties and Expectation Values for Pöschl–Teller-like Pseudo-Harmonic Oscillator |
| title_full | Thermophysical Properties and Expectation Values for Pöschl–Teller-like Pseudo-Harmonic Oscillator |
| title_fullStr | Thermophysical Properties and Expectation Values for Pöschl–Teller-like Pseudo-Harmonic Oscillator |
| title_full_unstemmed | Thermophysical Properties and Expectation Values for Pöschl–Teller-like Pseudo-Harmonic Oscillator |
| title_short | Thermophysical Properties and Expectation Values for Pöschl–Teller-like Pseudo-Harmonic Oscillator |
| title_sort | thermophysical properties and expectation values for poschl teller like pseudo harmonic oscillator |
| topic | eigensolution pseudo-harmonic oscillator partition function entropy expectation values |
| url | https://www.mdpi.com/2227-7390/13/9/1524 |
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