论文标题
静电多产对电子结合能的贡献
Electrostatic multipole contributions to the binding energy of electrons
论文作者
论文摘要
电子与局部静态电荷分布(例如原子或分子)的相互作用在径向1/R库仑电位的大距离内主导。第二阶效应来自非中央电偶极子贡献cos(theta)/r^2。此外,三阶效应是由于电势的电势,[3*cos^2(theta)-1]/2*r^3。我们使用三角形表示方法来对所有这些贡献对电子的结合能的综合效果进行相当准确的说明,但具有有效的四极相互作用。作为应用,我们在原子中获得了带电偶极和四极矩的原子中价电子的结合状态。
The interaction of an electron with a local static charge distribution (e.g., an atom or molecule) is dominated at large distances by the radial 1/r Coulomb potential. The second order effect comes from the non-central electric dipole contribution cos(theta)/r^2. Moreover, the third order effect is due to the electric quadrupole potential, [3*cos^2(theta)-1]/2*r^3. We use the tridiagonal representation approach to give a reasonably accurate account for the combined effects of all these contributions to the binding energy of the electron but with an effective quadrupole interaction. As an application, we obtain the bound states of a valence electron in an atom with both electric dipole and quadrupole moments.