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arXiv quant-ph/0205186quant-ph
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圆形量子点中双电子的能谱

Energy spectra of two electrons in a circular quantum dot

Anjana Sinha, Y. P. Varshni

摘要:

在半经典WKB近似下,研究了圆形量子点(具有硬壁约束)中两个相互作用电子的相互作用能.假设两个电子处于半径为$r_0$的无限深阱中,处于一个电子固定在原点的简单配置中。相应的薛定谔方程,硬壁边界条件,也是精确求解的数值积分。观察到两个能量值之间的一致性相当好,这表明WKB近似也适用于这样的受限量子系统。这可能会提供动机,将其扩展到更现实的限制潜力。

英文摘要:

The electron interaction energy of two interacting electrons in a circular quantum dot (with hard wall confinement) is investigated in the framework of the semi-classical Wentzel-Kramers-Brillouin (WKB) approximation. The two electrons are assumed to be in an infinitely deep well of radius $r_0$, in a simple configuration with one electron fixed at the origin. The corresponding Schrodinger equation, with hard wall boundary conditions, is also solved exactly by numerical integration. It is observed that the agreement between the two energy values is quite good, suggesting that the WKB approximation works well for such a confined quantum system as well. This may provide motivation to extend this to more realistic confined potentials.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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