Helium-like ions in $d$-dimensions: analyticity and generalized ground state Majorana solutions

Adrian M. Escobar-Ruiz, Horacio Olivares-Pilón, Norberto Aquino +1

Non-relativistic Helium-like ions $(-e,-e,Ze)$ with static nucleus in a $d-$dimensional space ${\mathbb{R}}^d$ ($d>1$) are considered. Assuming $r^{-1}$ Coulomb interactions, a 2-par…