08-114 Cesar R. de Oliveira, Alessandra A. Verri
Self-adjoint extensions of Coulomb systems in 1,2 and 3 dimensions (341K, pdf) Jun 17, 08
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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.

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