Energy and Screening Constants of the Two-Dimensional Helium Atom

Abstract

Following the calculational technique proposed in our previous works, the energy and screening constants of the helium atom with a two-dimensional spatial configuration of its electron distribution have been calculated for the case when one electron is found in the ground state with energy quantum number N′ =0 , and the second in an excited state with values of the quantum number N =1, 2, ..., 10 . Graphs are presented of the dependence of these quantities on the discrete variable N with elucidation of their characteristic asymptotic behavior.