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arXiv · 0806.2764

Self-adjoint extensions of Coulomb systems in 1,2 and 3 dimensions

Cesar R. de Oliveira·Alessandra A. Verri
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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 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.

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Cesar R. de Oliveira, Alessandra A. Verri. 2008-06-17. Self-adjoint extensions of Coulomb systems in 1,2 and 3 dimensions. https://doi.org/10.1016/j.aop.2008.06.001

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