Article ID Journal Published Year Pages File Type
1855085 Annals of Physics 2009 16 Pages PDF
Abstract

We study the nonrelativistic quantum Coulomb hamiltonian (i.e., inverse of distance potential) in RnRn, n=1,2,3n=1,2,3. We characterize their self-adjoint extensions and, in the unidimensional case, present a discussion of controversies in the literature, particularly the question of the permeability of the origin. Potentials given by fundamental solutions of Laplace equation are also briefly considered.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
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