Confined Hydrogen Atom in Higher Space Dimension Under Pressure
We investigated the Schrödinger equation for the confined H-atom in an impenetrable spherical cavity in N-dimensional space. We found that the wave functions are dimension-dependent and have the same form as the wave functions of the free hydrogen atom in N- dimensions. Moreover, we investigated th...
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| Format: | Article |
| Language: | English |
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An-Najah National University
2011-08-01
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| Series: | مجلة جامعة النجاح للأبحاث العلوم الطبيعية |
| Online Access: | https://journals.najah.edu/media/journals/full_texts/confined-hydrogen-atom-higherspace-dimension-under-pressure.pdf |
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| _version_ | 1849240088091820032 |
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| author | Muzaian Shaqqur Sami Al Jaber |
| author_facet | Muzaian Shaqqur Sami Al Jaber |
| author_sort | Muzaian Shaqqur |
| collection | DOAJ |
| description | We investigated the Schrödinger equation for the confined H-atom in an impenetrable spherical cavity in N-dimensional space. We found that the wave functions are dimension-dependent and have the same form as the wave functions of the free hydrogen atom in N- dimensions. Moreover, we investigated the ground state energies for this case, where we found that those energies depend on the radius of the cavity (S), and the dimensionality of the space (N). On the other hand, we investigated the average pressure exerted by the confined H-atom in an impenetrable spherical cavity in N-dimensional space on the wall of the cavity. We found that the values of the pressure depends on both N, and S such as: for a given N, as the radius of the cavity decreases, the pressure increases up to a maximum value called Pmax , suddenly after which, the value of the pressure decreases to zero. The value of Pmax depends on N, where we found that it decreases as N increases. In addition to that, the value of the radius of the cavity (S) at which the pressure has its maximum value (Pmax ) increases as N increases. |
| format | Article |
| id | doaj-art-88a07423045e48da82990dc77690b8c1 |
| institution | Kabale University |
| issn | 1727-2114 2311-8865 |
| language | English |
| publishDate | 2011-08-01 |
| publisher | An-Najah National University |
| record_format | Article |
| series | مجلة جامعة النجاح للأبحاث العلوم الطبيعية |
| spelling | doaj-art-88a07423045e48da82990dc77690b8c12025-08-20T04:00:44ZengAn-Najah National Universityمجلة جامعة النجاح للأبحاث العلوم الطبيعية1727-21142311-88652011-08-01251637810.35552/anujr.a.25.1.140Confined Hydrogen Atom in Higher Space Dimension Under PressureMuzaian Shaqqur0Sami Al Jaber1NoneNoneWe investigated the Schrödinger equation for the confined H-atom in an impenetrable spherical cavity in N-dimensional space. We found that the wave functions are dimension-dependent and have the same form as the wave functions of the free hydrogen atom in N- dimensions. Moreover, we investigated the ground state energies for this case, where we found that those energies depend on the radius of the cavity (S), and the dimensionality of the space (N). On the other hand, we investigated the average pressure exerted by the confined H-atom in an impenetrable spherical cavity in N-dimensional space on the wall of the cavity. We found that the values of the pressure depends on both N, and S such as: for a given N, as the radius of the cavity decreases, the pressure increases up to a maximum value called Pmax , suddenly after which, the value of the pressure decreases to zero. The value of Pmax depends on N, where we found that it decreases as N increases. In addition to that, the value of the radius of the cavity (S) at which the pressure has its maximum value (Pmax ) increases as N increases.https://journals.najah.edu/media/journals/full_texts/confined-hydrogen-atom-higherspace-dimension-under-pressure.pdf |
| spellingShingle | Muzaian Shaqqur Sami Al Jaber Confined Hydrogen Atom in Higher Space Dimension Under Pressure مجلة جامعة النجاح للأبحاث العلوم الطبيعية |
| title | Confined Hydrogen Atom in Higher Space Dimension Under Pressure |
| title_full | Confined Hydrogen Atom in Higher Space Dimension Under Pressure |
| title_fullStr | Confined Hydrogen Atom in Higher Space Dimension Under Pressure |
| title_full_unstemmed | Confined Hydrogen Atom in Higher Space Dimension Under Pressure |
| title_short | Confined Hydrogen Atom in Higher Space Dimension Under Pressure |
| title_sort | confined hydrogen atom in higher space dimension under pressure |
| url | https://journals.najah.edu/media/journals/full_texts/confined-hydrogen-atom-higherspace-dimension-under-pressure.pdf |
| work_keys_str_mv | AT muzaianshaqqur confinedhydrogenatominhigherspacedimensionunderpressure AT samialjaber confinedhydrogenatominhigherspacedimensionunderpressure |