Non-Relativistic Energy Spectra of the Modified Hylleraas Potential and Its Thermodynamic Properties in Arbitrary Dimensions

In this study, the solutions of the Schrodinger equation (SE) with modified Hylleraas potential in arbitrary dimensions was obtained using the asymptotic iteration method (AIM) to obtain the energy and wave functions, respectively. The energy equation was used to obtain the thermal properties of thi...

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Bibliographic Details
Published inQuantum reports Vol. 4; no. 3; pp. 238 - 250
Main Authors Edet, Collins Okon, Osang, Jonathan E., Ali, Norshamsuri, Agbo, Emmanuel Paul, Aljunid, Syed Alwee, Endut, Rosdisham, Ettah, Emmanuel B., Khordad, Reza, Ikot, Akpan Ndem, Asjad, Muhammad
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.09.2022
Subjects
Approximation
asymptotic iteration method (AIM)
Asymptotic methods
Energy spectra
Hylleraas potential
Investigations
Iterative methods
Molecular physics
Particle physics
Quantum physics
Schrodinger equation
Thermodynamic properties
Thermodynamics
Wave functions
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Summary:In this study, the solutions of the Schrodinger equation (SE) with modified Hylleraas potential in arbitrary dimensions was obtained using the asymptotic iteration method (AIM) to obtain the energy and wave functions, respectively. The energy equation was used to obtain the thermal properties of this system. The effect of the potential parameters and dimensions on the energy spectra and thermal properties was scrutinized thoroughly. It was found that the aforementioned affects the thermal properties and energy spectra, respectively. In addition, we also computed the numerical energy spectra of the MHP for the first time and discussed it in detail. The results of our study can be applied to molecular physics, chemical physics, etc.
ISSN:2624-960X
2624-960X
DOI:10.3390/quantum4030016