32 citations · 51 across the 2 of their papers we have counts for
2 papers
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…
math-ph2008★ 32 cited
Mathematical justification of the Aharonov-Bohm hamiltonian
Cesar R. de Oliveira, Marciano Pereira
It is presented, in the framework of nonrelativistic quantum mechanics, a justification of the usual Aharonov-Bohm hamiltonian (with solenoid of radius greater than zero). This is…