Ground State Energy of an Impurity Located at the Center of a Multi-Layer Spherical Quantum Dot
| Autor: | Te-Kuang Liu, 劉得光 |
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| Rok vydání: | 1999 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 87 The ground state energy of an impurity located at the center of a multi-layer spherical quantum dot (MLSQD) is studied within the framework of effective mass approximation. It is found the material properties and geometric parameters would influence the ground state energy prominently. By solving the Schroedinger's equation analytically, the eigen-state energies can be obtained and the corresponding wave functions can be expressed in terms of Hypergeometric functions. The numerical results shows that by varying the materials in different layer and the geometry of the dot, the potentials and the ground state energies will be influenced deeply. To a bound state problem, the ground state energy directly relates to the thickness of the layer where the electron can stay steadily. The narrower the layer, the lower the ground state energies. On the contrary, quantum tunneling effect would occur if the potential can not allow any bound state to exist. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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