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Exact solutions of a hydrogenic system in a half space: application to image-charge model calculations for atomic hydrogen physisorption

The holding potential of an hydrogen atom in its ground state to a perfectly imaging semi-infinite metal is evaluated in a perturbative way, using exact solutions for an hydrogenic system in a half space as zero-order wavefunctions. A potential barrier of approximately=0.11 au is found at a distance d approximately=0.85 au from the surface and a minimum in the energy of depth approximately=0.003 86 au is formed at d approximately=3.5 au.