论文标题
评论“带电极性纳米颗粒的二维绑定状态”
Comment on "Bidimensional bound states for charged polar nanoparticles''
论文作者
论文摘要
在最近的论文中，Castellanos-Jaramillo和Castellanos-Moreno提出了一个简单的量子力学模型，用于带有永久电偶极子的电离纳米结构附近的电子。他们选择了电子与电荷和偶极子的相互作用，以使所得的schrödinger方程可分开成径向和角部分。在此评论中，我们表明这些作者没有在适当的周期性边界条件下解决角特征值方程，并且在消除径向方程中的第一个衍生物时也犯了一个错误。考虑到$ \ left（gaas \ right）_ {3} $系统的爱因斯坦系数的结果无效。
In a recent paper Castellanos-Jaramillo and Castellanos-Moreno proposed a simple quantum-mechanical model for an electron in the vicinity of an ionized nanostructure with a permanent electric dipole. They chose the interaction of the electron with the charge and the dipole in such a way that the resulting Schrödinger equation is separable into radial and angular parts. In this comment we show that those authors did not solve the angular eigenvalue equation with proper periodic boundary conditions and that they also made a mistake in the elimination of the first derivative in the radial equation. Such errors invalidate their results of the Einstein coefficients for the $\left( GaAs\right)_{3}$ system considered.
