Cesar R. de Oliveira, Alessandra A. Verri
Self-adjoint extensions of Coulomb systems in 1,2 and 3 dimensions
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ABSTRACT.  We study the nonrelativistic quantum Coulomb hamiltonian (i.e., 
inverse of distance potential) in $R^n$ , n = 1, 2, 3. We characterize their 
self-adjoint extensions and, in the unidimensional case, present a dis- 
cussion of controversies in the literature, particularly the question of 
the permeability of the origin. Potentials given by fundamental solu- 
tions of Laplace equation are also briefly considered.