Spectra of the exponential potential with the supposition of minimal length
In the framework of different theories of quantum gravity, such as string theory, dual special relativity, and the physics of black holes, the existence of a minimal length is proposed. It is necessary to modify and generalize the usual Heisenberg principle of uncertainty to incorporate the minimal...
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| Format: | Article |
| Language: | English |
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Isfahan University of Technology
2022-05-01
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| Series: | Iranian Journal of Physics Research |
| Subjects: | |
| Online Access: | https://ijpr.iut.ac.ir/article_1785_0427a3f5ad21e4c8e33e06c3137eaf39.pdf |
| _version_ | 1828004233944760320 |
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| author | Sedigheh Miraboutalebi Navid Ramezanloo |
| author_facet | Sedigheh Miraboutalebi Navid Ramezanloo |
| author_sort | Sedigheh Miraboutalebi |
| collection | DOAJ |
| description | In the framework of different theories of quantum gravity, such as string theory, dual special relativity, and the physics of black holes, the existence of a minimal length is proposed. It is necessary to modify and generalize the usual Heisenberg principle of uncertainty to incorporate the minimal length into the ordinary quantum mechanics. In this scenario, the momentum of the system is modified, and the Hamiltonian obtains additional terms. It is expected that the energy spectrum of any physical system is modified under the hypothesis of minimal length. In this article, these effects on the spectra of the exponential potential for the ground state are studied by applying a perturbation method. As a popular application of the exponential potential, the deuteron bound state can be explained by using this potential. Here, the modification of the energy spectrum of deuteron under the supposition of the existence of a minimal length is calculated. |
| first_indexed | 2024-04-10T07:11:42Z |
| format | Article |
| id | doaj.art-4429bde3afcc4ebb8e515f719e02496c |
| institution | Directory Open Access Journal |
| issn | 1682-6957 2345-3664 |
| language | English |
| last_indexed | 2024-04-10T07:11:42Z |
| publishDate | 2022-05-01 |
| publisher | Isfahan University of Technology |
| record_format | Article |
| series | Iranian Journal of Physics Research |
| spelling | doaj.art-4429bde3afcc4ebb8e515f719e02496c2023-02-26T10:34:25ZengIsfahan University of TechnologyIranian Journal of Physics Research1682-69572345-36642022-05-0122127728310.47176/ijpr.22.1.211661785Spectra of the exponential potential with the supposition of minimal lengthSedigheh Miraboutalebi0Navid Ramezanloo1Department of Physics, Islamic Azad University, North Tehran Branch, Tehran, IranDepartment of Physics, Islamic Azad University, North Tehran Branch, Tehran, IranIn the framework of different theories of quantum gravity, such as string theory, dual special relativity, and the physics of black holes, the existence of a minimal length is proposed. It is necessary to modify and generalize the usual Heisenberg principle of uncertainty to incorporate the minimal length into the ordinary quantum mechanics. In this scenario, the momentum of the system is modified, and the Hamiltonian obtains additional terms. It is expected that the energy spectrum of any physical system is modified under the hypothesis of minimal length. In this article, these effects on the spectra of the exponential potential for the ground state are studied by applying a perturbation method. As a popular application of the exponential potential, the deuteron bound state can be explained by using this potential. Here, the modification of the energy spectrum of deuteron under the supposition of the existence of a minimal length is calculated.https://ijpr.iut.ac.ir/article_1785_0427a3f5ad21e4c8e33e06c3137eaf39.pdfschrödinger equationexponential potentialgeneralized uncertainty principleminimal lengthdeuteron energy spectrum |
| spellingShingle | Sedigheh Miraboutalebi Navid Ramezanloo Spectra of the exponential potential with the supposition of minimal length Iranian Journal of Physics Research schrödinger equation exponential potential generalized uncertainty principle minimal length deuteron energy spectrum |
| title | Spectra of the exponential potential with the supposition of minimal length |
| title_full | Spectra of the exponential potential with the supposition of minimal length |
| title_fullStr | Spectra of the exponential potential with the supposition of minimal length |
| title_full_unstemmed | Spectra of the exponential potential with the supposition of minimal length |
| title_short | Spectra of the exponential potential with the supposition of minimal length |
| title_sort | spectra of the exponential potential with the supposition of minimal length |
| topic | schrödinger equation exponential potential generalized uncertainty principle minimal length deuteron energy spectrum |
| url | https://ijpr.iut.ac.ir/article_1785_0427a3f5ad21e4c8e33e06c3137eaf39.pdf |
| work_keys_str_mv | AT sedighehmiraboutalebi spectraoftheexponentialpotentialwiththesuppositionofminimallength AT navidramezanloo spectraoftheexponentialpotentialwiththesuppositionofminimallength |