Determine the Lower-State Energy of (GaMn)As/GaAs Quantum Well using Localization Landscape Method
The current research presented the value of the lowest state energy for (GaMn)As/GaAs Quantum Well by using the Schrodinger equation and the localization landscape method, and a comparison between the quantum confinement potential and the wavefunction localization of both the landscape method and t...
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| Format: | Article |
| Language: | English |
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Tikrit University
2020-12-01
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| Series: | Tikrit Journal of Pure Science |
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| Online Access: | https://tjpsj.org/index.php/tjps/article/view/318 |
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| author | Mubarak H. Oglah Sabri J. Mohammed Moustafa S. El-Daher |
| author_facet | Mubarak H. Oglah Sabri J. Mohammed Moustafa S. El-Daher |
| author_sort | Mubarak H. Oglah |
| collection | DOAJ |
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The current research presented the value of the lowest state energy for (GaMn)As/GaAs Quantum Well by using the Schrodinger equation and the localization landscape method, and a comparison between the quantum confinement potential and the wavefunction localization of both the landscape method and the Schrödinger method, a great match was found between the two methods, where the Landscape method 0.1% greater than Schrodinger method. From the Hamiltonian function analysis, it was found that the quantum eigenvalues in the discrete wells interact only when the corresponding eigenvalues are close to each other. Localization appears clearly in the sub-regions of quantum well, so, we prove damping in quantum wells, especially near the boundaries of the well. The effective quantum potential W was determined.
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| format | Article |
| id | doaj-art-81720e14d6b64d18936bcc9ae3669360 |
| institution | Kabale University |
| issn | 1813-1662 2415-1726 |
| language | English |
| publishDate | 2020-12-01 |
| publisher | Tikrit University |
| record_format | Article |
| series | Tikrit Journal of Pure Science |
| spelling | doaj-art-81720e14d6b64d18936bcc9ae36693602025-08-20T03:49:55ZengTikrit UniversityTikrit Journal of Pure Science1813-16622415-17262020-12-0125610.25130/tjps.v25i6.318Determine the Lower-State Energy of (GaMn)As/GaAs Quantum Well using Localization Landscape MethodMubarak H. OglahSabri J. MohammedMoustafa S. El-Daher The current research presented the value of the lowest state energy for (GaMn)As/GaAs Quantum Well by using the Schrodinger equation and the localization landscape method, and a comparison between the quantum confinement potential and the wavefunction localization of both the landscape method and the Schrödinger method, a great match was found between the two methods, where the Landscape method 0.1% greater than Schrodinger method. From the Hamiltonian function analysis, it was found that the quantum eigenvalues in the discrete wells interact only when the corresponding eigenvalues are close to each other. Localization appears clearly in the sub-regions of quantum well, so, we prove damping in quantum wells, especially near the boundaries of the well. The effective quantum potential W was determined. https://tjpsj.org/index.php/tjps/article/view/318LandscapeLocalizationSchrodinger equationGround state energyquantum well |
| spellingShingle | Mubarak H. Oglah Sabri J. Mohammed Moustafa S. El-Daher Determine the Lower-State Energy of (GaMn)As/GaAs Quantum Well using Localization Landscape Method Tikrit Journal of Pure Science Landscape Localization Schrodinger equation Ground state energy quantum well |
| title | Determine the Lower-State Energy of (GaMn)As/GaAs Quantum Well using Localization Landscape Method |
| title_full | Determine the Lower-State Energy of (GaMn)As/GaAs Quantum Well using Localization Landscape Method |
| title_fullStr | Determine the Lower-State Energy of (GaMn)As/GaAs Quantum Well using Localization Landscape Method |
| title_full_unstemmed | Determine the Lower-State Energy of (GaMn)As/GaAs Quantum Well using Localization Landscape Method |
| title_short | Determine the Lower-State Energy of (GaMn)As/GaAs Quantum Well using Localization Landscape Method |
| title_sort | determine the lower state energy of gamn as gaas quantum well using localization landscape method |
| topic | Landscape Localization Schrodinger equation Ground state energy quantum well |
| url | https://tjpsj.org/index.php/tjps/article/view/318 |
| work_keys_str_mv | AT mubarakhoglah determinethelowerstateenergyofgamnasgaasquantumwellusinglocalizationlandscapemethod AT sabrijmohammed determinethelowerstateenergyofgamnasgaasquantumwellusinglocalizationlandscapemethod AT moustafaseldaher determinethelowerstateenergyofgamnasgaasquantumwellusinglocalizationlandscapemethod |