Chemical Physics ( IF 2.0 ) Pub Date : 2020-12-16 , DOI: 10.1016/j.chemphys.2020.111073 Marlina Slamet , Viraht Sahni
The triplet state of a 2-electron 2-dimensional quantum dot in a magnetic field is studied via a complementary perspective of Schrödinger–Pauli theory. The perspective is that of the individual electron via its equation of motion or ‘Quantal Newtonian’ first law. According to the law, each electron experiences an external and an internal field, the sum of which vanishes. The external field is the sum of the binding and Lorentz fields. The internal field is a sum of the electron-interaction, kinetic, differential density, and internal magnetic fields. The energy is expressed in integral virial form in terms of these fields. The quantal sources of the density; paramagnetic, diamagnetic, and magnetization current densities; pair-correlation density; the Fermi–Coulomb hole charge; and the single-particle density matrix are obtained, and from them the corresponding fields determined. The fields are shown to satisfy the first law.
中文翻译:
三胞胎 量子点在磁场中的状态:“量子牛顿”第一定律研究
三胞胎 通过Schrödinger–Pauli理论的互补视角研究了二维电子二维量子点在磁场中的状态。视角是通过运动方程或“量子牛顿”第一定律的单个电子。根据定律,每个电子都经历一个内部和外部电场,它们的总和消失。外部字段是绑定字段和Lorentz字段的总和。内部场是电子相互作用,动力学,微分密度和内部磁场的总和。在这些领域中,能量以整体病毒形式表示。密度的数量来源;顺磁性,反磁性和磁化电流密度;对相关密度 费米-库伦空穴装药;得到单粒子密度矩阵 并从中确定相应的字段。显示的字段满足第一定律。