On the Question of the Existence of Two-Dimensional Multi-Electron Atoms

Аннотация

The semiclassical Thomas–Fermi method is extended to the case of two-dimensional (planar) multi-electron atoms. It is shown that within the framework of this model a two-dimensional multi-electron atom cannot exist, due to the impossibility of fulfilling the physical asymptotic limit φ(r)|_r→0 → (Ze)/r of the solution of the corresponding two-dimensional Thomas–Fermi equation.