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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| Format: | Article |
| Language: | English |
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MDPI AG
2022-07-01
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| Series: | Quantum Reports |
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| Online Access: | https://www.mdpi.com/2624-960X/4/3/16 |
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| author | Collins Okon Edet Jonathan E. Osang Norshamsuri Ali Emmanuel Paul Agbo Syed Alwee Aljunid Rosdisham Endut Emmanuel B. Ettah Reza Khordad Akpan Ndem Ikot Muhammad Asjad |
| author_facet | Collins Okon Edet Jonathan E. Osang Norshamsuri Ali Emmanuel Paul Agbo Syed Alwee Aljunid Rosdisham Endut Emmanuel B. Ettah Reza Khordad Akpan Ndem Ikot Muhammad Asjad |
| author_sort | Collins Okon Edet |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T22:40:37Z |
| format | Article |
| id | doaj.art-6b3fb5356b364c59939cf3f9e218f281 |
| institution | Directory Open Access Journal |
| issn | 2624-960X |
| language | English |
| last_indexed | 2024-03-09T22:40:37Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Quantum Reports |
| spelling | doaj.art-6b3fb5356b364c59939cf3f9e218f2812023-11-23T18:39:57ZengMDPI AGQuantum Reports2624-960X2022-07-014323825010.3390/quantum4030016Non-Relativistic Energy Spectra of the Modified Hylleraas Potential and Its Thermodynamic Properties in Arbitrary DimensionsCollins Okon Edet0Jonathan E. Osang1Norshamsuri Ali2Emmanuel Paul Agbo3Syed Alwee Aljunid4Rosdisham Endut5Emmanuel B. Ettah6Reza Khordad7Akpan Ndem Ikot8Muhammad Asjad9Faculty of Electronic Engineering Technology, Universiti Malaysia Perlis, Kangar 01000, Perlis, MalaysiaDepartment of Physics, Cross River University of Technology, Calabar PMB 1123, NigeriaFaculty of Electronic Engineering Technology, Universiti Malaysia Perlis, Kangar 01000, Perlis, MalaysiaDepartment of Physics, Cross River University of Technology, Calabar PMB 1123, NigeriaFaculty of Electronic Engineering Technology, Universiti Malaysia Perlis, Kangar 01000, Perlis, MalaysiaFaculty of Electronic Engineering Technology, Universiti Malaysia Perlis, Kangar 01000, Perlis, MalaysiaDepartment of Physics, Cross River University of Technology, Calabar PMB 1123, NigeriaDepartment of Physics, College of Sciences, Yasouj University, Yasouj 75918, IranTheoretical Physics Group, Department of Physics, University of Port Harcourt, East/West Road, Choba PMB 5323, NigeriaFaculty of Electronic Engineering Technology, Universiti Malaysia Perlis, Kangar 01000, Perlis, MalaysiaIn 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.https://www.mdpi.com/2624-960X/4/3/16asymptotic iteration method (AIM)Schrodinger equationHylleraas potential |
| spellingShingle | Collins Okon Edet Jonathan E. Osang Norshamsuri Ali Emmanuel Paul Agbo Syed Alwee Aljunid Rosdisham Endut Emmanuel B. Ettah Reza Khordad Akpan Ndem Ikot Muhammad Asjad Non-Relativistic Energy Spectra of the Modified Hylleraas Potential and Its Thermodynamic Properties in Arbitrary Dimensions Quantum Reports asymptotic iteration method (AIM) Schrodinger equation Hylleraas potential |
| title | Non-Relativistic Energy Spectra of the Modified Hylleraas Potential and Its Thermodynamic Properties in Arbitrary Dimensions |
| title_full | Non-Relativistic Energy Spectra of the Modified Hylleraas Potential and Its Thermodynamic Properties in Arbitrary Dimensions |
| title_fullStr | Non-Relativistic Energy Spectra of the Modified Hylleraas Potential and Its Thermodynamic Properties in Arbitrary Dimensions |
| title_full_unstemmed | Non-Relativistic Energy Spectra of the Modified Hylleraas Potential and Its Thermodynamic Properties in Arbitrary Dimensions |
| title_short | Non-Relativistic Energy Spectra of the Modified Hylleraas Potential and Its Thermodynamic Properties in Arbitrary Dimensions |
| title_sort | non relativistic energy spectra of the modified hylleraas potential and its thermodynamic properties in arbitrary dimensions |
| topic | asymptotic iteration method (AIM) Schrodinger equation Hylleraas potential |
| url | https://www.mdpi.com/2624-960X/4/3/16 |
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