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math-ph2011★ 13 cited
On the spectrum and weakly effective operator for Dirichlet Laplacian in thin deformed tubes
Cesar R. de Oliveira, Alessandra A. Verri
We study the Laplacian in deformed thin (bounded or unbounded) tubes in ?, i.e., tubular regions along a curve whose cross sections are multiplied by an appropriate de…
math-ph2008★ 39 cited
Self-adjoint extensions of Coulomb systems in 1,2 and 3 dimensions
Cesar R. de Oliveira, Alessandra A. Verri
We study the nonrelativistic quantum Coulomb hamiltonian (i.e., inverse of distance potential) in , n = 1, 2, 3. We characterize their self-adjoint extensions and, in the unid…