We study the system consisted of two electrons in a quantum dot with a three-dimensional harmonic confinement potential under the effect of a magnetic field. Specifically, two different confinement conditions are considered, one isotropic three-dimensional and the other anisotropic quasi-two-dimensional. Singlet and triplet lowest states properties as the energy, the exchange coupling, the two-electron density function and the spatial spreading of the two electrons in terms of the variance along the x -direction are analyzed. In this study we employ the full configuration interaction method with Cartesian anisotropic Gaussian-type orbitals as the basis set. These functions allow us to explore the confining characteristics of a potential due to their flexibility of using different exponents for each direction in space. The convergence of the results, depending on the size of the set of basis functions, is examined and the oscillations of different physical quantities, conce...

中文翻译：

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磁场存在下双电子量子点的振荡特性

我们研究了由一个量子点中的两个电子组成的系统，该电子在磁场的作用下具有三维谐波约束电位。具体而言，考虑了两个不同的约束条件，一个是各向同性的三维，另一个是各向异性的准二维。分析了单重态和三重态的最低态性质，如能量，交换耦合，两电子密度函数和两个电子沿x方向的方差分布。在这项研究中，我们采用以笛卡尔各向异性高斯型轨道为基础的全配置相互作用方法。这些功能使我们能够探索电势的限制特征，这是由于它们在空间的每个方向上使用不同的指数的灵活性。