Asymptotic Iteration Method in Single and Multilayered Quantum Dots
The asymptotic iteration method (AIM) has been applied to calculate the ground state and binding energy of an impurity located at the center of a single and multilayered spherical quantum dot.Regarding the single quantum dot (QD) the results obtained for the ground state energy and for the first app...
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| Format: | Article |
| Language: | English |
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Ain Shams University, Faculty of Women for Arts, Science & Education
2022-12-01
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| Series: | Journal of Scientific Research in Science |
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| Online Access: | https://jsrs.journals.ekb.eg/article_275765.html |
| _version_ | 1797739956881326080 |
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| author | Heba Sabry Fahim |
| author_facet | Heba Sabry Fahim |
| author_sort | Heba Sabry Fahim |
| collection | DOAJ |
| description | The asymptotic iteration method (AIM) has been applied to calculate the ground state and binding energy of an impurity located at the center of a single and multilayered spherical quantum dot.Regarding the single quantum dot (QD) the results obtained for the ground state energy and for the first approximation of the binding energy agree entirely with the results of the ordinary perturbation technique obtained in earlier treatments.
Besides, the second approximation of the binding energy differs by about 16.5 % in both treatments which is quite reasonable.
The results obtained in the case of multilayered spherical quantum dot (MSQD) showed a reasonable quantitative agreement with the results obtained in an earlier treatment by applying an entire numerical technique. They are also distinguished by exhibiting a peak similar to the results obtained before by applying the variational method in analogous problems. |
| first_indexed | 2024-03-12T14:04:41Z |
| format | Article |
| id | doaj.art-541275b9897447dab532bf76146a478c |
| institution | Directory Open Access Journal |
| issn | 2356-8364 2356-8372 |
| language | English |
| last_indexed | 2024-03-12T14:04:41Z |
| publishDate | 2022-12-01 |
| publisher | Ain Shams University, Faculty of Women for Arts, Science & Education |
| record_format | Article |
| series | Journal of Scientific Research in Science |
| spelling | doaj.art-541275b9897447dab532bf76146a478c2023-08-21T14:26:55ZengAin Shams University, Faculty of Women for Arts, Science & EducationJournal of Scientific Research in Science2356-83642356-83722022-12-0139111710.21608/jsrs.2022.275765Asymptotic Iteration Method in Single and Multilayered Quantum DotsHeba Sabry Fahim0Mathematics Department, Faculty of Women for Arts, Science and Education, Ain Shams University, Egypt. The asymptotic iteration method (AIM) has been applied to calculate the ground state and binding energy of an impurity located at the center of a single and multilayered spherical quantum dot.Regarding the single quantum dot (QD) the results obtained for the ground state energy and for the first approximation of the binding energy agree entirely with the results of the ordinary perturbation technique obtained in earlier treatments. Besides, the second approximation of the binding energy differs by about 16.5 % in both treatments which is quite reasonable. The results obtained in the case of multilayered spherical quantum dot (MSQD) showed a reasonable quantitative agreement with the results obtained in an earlier treatment by applying an entire numerical technique. They are also distinguished by exhibiting a peak similar to the results obtained before by applying the variational method in analogous problems. https://jsrs.journals.ekb.eg/article_275765.htmlasymptonic iteration methodsingle and multilayered quantum dotsprabolic confining potentialcentral impurity |
| spellingShingle | Heba Sabry Fahim Asymptotic Iteration Method in Single and Multilayered Quantum Dots Journal of Scientific Research in Science asymptonic iteration method single and multilayered quantum dots prabolic confining potential central impurity |
| title | Asymptotic Iteration Method in Single and Multilayered Quantum Dots |
| title_full | Asymptotic Iteration Method in Single and Multilayered Quantum Dots |
| title_fullStr | Asymptotic Iteration Method in Single and Multilayered Quantum Dots |
| title_full_unstemmed | Asymptotic Iteration Method in Single and Multilayered Quantum Dots |
| title_short | Asymptotic Iteration Method in Single and Multilayered Quantum Dots |
| title_sort | asymptotic iteration method in single and multilayered quantum dots |
| topic | asymptonic iteration method single and multilayered quantum dots prabolic confining potential central impurity |
| url | https://jsrs.journals.ekb.eg/article_275765.html |
| work_keys_str_mv | AT hebasabryfahim asymptoticiterationmethodinsingleandmultilayeredquantumdots |