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math-ph2010★ 12 cited
Quantum singular operator limits of thin Dirichlet tubes via -convergence
Cesar R. de Oliveira
The -convergence of lower bounded quadratic forms is used to study the singular operator limit of thin tubes (i.e., the vanishing of the cross section diameter) of the Laplace o…
math-ph2010★ 19 cited
Scattering and self-adjoint extensions of the Aharonov-Bohm hamiltonian
Cesar R. de Oliveira, Marciano Pereira
We consider the hamiltonian operator associated with planar sec- tions of infinitely long cylindrical solenoids and with a homogeneous magnetic field in their interior. First, in t…