| 量子点中类氢离子杂质的某些精确解和微扰解 |
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| 引用本文： | 谢琼涛,海文华,崇桂书.量子点中类氢离子杂质的某些精确解和微扰解[J].湖南师范大学自然科学学报,2002,25(3):38-43. |
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| 作者姓名： | 谢琼涛 海文华 崇桂书 |
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| 作者单位： | 湖南师范大学理学院物理系,中国,长沙,410081 |
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| 基金项目： | 国家自然科学基金资助的项目 (1 98740 1 9) |
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| 摘 要： | 根据有效质量近似理论，采用无限深势阱模型研究了位于GaAs-Ga1-xAlxAs球形量子点中心的类氢离子杂质，讨论了量子点的囚禁作用对类氢离子杂质系统的能量和电子分布几率的影响，给出了某些波函数的有限形式的精确解，并考虑了系统与外加弱电场的相互作用，利用直接微扰法给出了一级修正波函数和二级能量修正。
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| 关 键 词： | 精确解 微扰解 量子点 类氢离子杂质 能级 有效质量近似理论 无限深势阱模型 |
| 文章编号： | 1000-2537(2002)03-0038-06 |
| 修稿时间： | 2002年2月15日 |
Some Exact and Perturbed Solutions of Hydrogenic Impurity in a Quantum Dot |
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| XIE Qiong tao,HAI Wen hua,CHONG Gui shu.Some Exact and Perturbed Solutions of Hydrogenic Impurity in a Quantum Dot[J].Journal of Natural Science of Hunan Normal University,2002,25(3):38-43. |
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| Authors: | XIE Qiong tao HAI Wen hua CHONG Gui shu |
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| Abstract: | According to the effective mass theory, a hydrogenic impurity located at the center of a spherical GaAs Ga 1-x Al xAs quantum dot is studied. Assumed the infinite depth potential well model, the confining effects of the quantum dot on the energy of the system and electron distribution probability are discussed and the wave function of the finite form is given. Meanwhile, the perturbation of an external weak electric field is considered and the first order correct wave function and second order correct energy are given by use of the direct perturbation method. |
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| Keywords: | quantum dot hydrogenic impurity level exact solution |
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