title: The virial theorem for the smoothly and sharply, penetrably and impenetrably confined hydrogen atom.
abstract: Confinement of atoms by finite or infinite boxes containing sharp (discontinuous) jumps has been studied since the fourth decade of the previous century, modelling the effect of external pressure. Smooth (continuous) counterparts of such confining potentials, that depend on a parameter such that in an appropriate limit they coincide with the sharp confining potentials, are investigated, with an emphasis on deriving the corresponding virial and Hellmann-Feynman theorems.
authors.affiliation: Department of Chemistry, Technion, Haifa 32000, Israel. jkatriel@technion.ac.il
authors.forename: Jacob
authors.initials: J
authors.lastname: Katriel
authors.forename: H E
authors.initials: HE
authors.lastname: Montgomery