The behavior of the electronic levels of a hydrogen atom in half-space bounded by a flat surface, on which the electron wave functions satisfy the condition of ``not going through'' the boundary, is considered. It is shown that in the process of adsorption of hydrogen atoms by a sample with a clean smooth surface, high affinity and a low initial concentration of hydrogen inside, a significant amount of energy can be released. The results were obtained both with the direct numerical calculation using the finite element method and with the variational estimates based on the special selection of trial functions.
32.30.-r Atomic spectra
34.35.+a Interactions of atoms and molecules with surfaces
$^1$Department of Quantum Theory and High Energy Physics, Faculty of Physics, M.V.Lomonosov Moscow State University