- 08-114 Cesar R. de Oliveira, Alessandra A. Verri
- Self-adjoint extensions of Coulomb systems in 1,2 and 3 dimensions
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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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