Physics Letters A ( IF 2.3 ) Pub Date : 2021-01-11 , DOI: 10.1016/j.physleta.2020.127136 Ibraheem Nasser , César Martinez-Flores , Mostafa Zeama , Rubicelia Vargas , Jorge Garza
The Tsallis entropies are reported, as a function of the Tsallis index q and the screening parameter μ, in position space, for the ground state of the helium atom. Three different potentials, namely Coulomb, Yukawa, and exponential cosine screened Coulomb potentials and their combinations are used in the calculations. The simple Hylleraas correlated wave function, with a three-parameter, is applied to focus on getting the most characteristic physical features of the electron-electron repulsion results. The values are calculated in one- and two-electron charge densities. Moreover, for a comparative study, the Hartree-Fock approximation, which implements a numerical grid method, is employed. Additionally, the modified Tsallis index, , is proposed and calculated to predict the best value of q in the combined potentials, and it was found that .
中文翻译:
Tsallis熵:氦原子1s 2状态的比较研究
报告了Tsallis熵,它是位置空间中氦原子基态的Tsallis指数q和筛选参数μ的函数。计算中使用了三种不同的电势,即库仑势,汤川势和指数余弦筛选的库仑势及其组合。具有三个参数的简单的Hylleraas相关波函数被应用于关注获得电子-电子排斥结果的最典型的物理特征。该值以一电子和二电子电荷密度计算。此外,为了进行比较研究,采用了实现数字网格方法的Hartree-Fock近似。此外,修改后的Tsallis指数提出并计算,以预测组合电位中q的最佳值,发现。