A Hydrogen Atom above a Plane with the “Not Going Through” Boundary Condition

Abstract

This article studies the behavior of the electronic levels of a hydrogen atom in a space bounded by a flat surface on which a condition of the spatial confinement of electronic wave functions is specified. It is shown that a significant amount of energy can be released during adsorption of hydrogen atoms by a sample with a clean smooth surface, high affinity, and low initial internal hydrogen concentration. The results are obtained using both direct numerical calculation using the finite element method and variational estimates based on the selection of special test functions.