电子间势Ansätze对平面双电子量子点模型束缚态解的影响
How the inter-electronic potential Ansätze affect the bound state solutions of a planar two-electron quantum dot model
摘要：
为了一个特定的目的，我们重新研究了一个两电子量子点的模型，该量子点被限制在一个二维平面空间中运动，并且存在一个外谐振子势。事实上，本征值和本征态的束缚态解决方案，获得任何振荡频率考虑两个$1/r$和$\ln r$ Ansätze的电子间库仑类势在2 $D$。然后指出，这两种势所预言的可测量之间的显著差异可以揭示空间维数问题以及势本身的物理性质。
英文摘要：
The model of a two-electron quantum dot, confined to move in a two dimensional flat space, in the presence of an external harmonic oscillator potential, is revisited for a specific purpose. Indeed, eigenvalues and eigenstates of the bound state solutions are obtained for any oscillation frequency considering both the $1/r$ and $\ln r$ Ansätze for inter-electronic Coulombic-like potentials in 2$D$. Then, it is pointed out that the significative difference between measurable quantities predicted from these two potentials can shed some light on the problem of space dimensionality as well as on the physical nature of the potential itself.
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。
