17 citations · 17 across the 1 of their papers we have counts for
5 papers
Absolute continuity in periodic thin tubes and strongly coupled leaky wires
Francois Bentosela, Pierre Duclos, Pavel Exner
Using a perturbative argument, we show that in any finite region containing the lowest transverse eigenmode, the spectrum of a periodically curved smooth Dirichlet tube in two or t…
On the Dynamics of Crystal Electrons, high Momentum Regime
J. Asch, F. Bentosela, P. Duclos +1
We study the quantum dynamics generated by with a real periodic function of weak regularity. We prove that the continuous spectrum of is…
Anomalous electron trapping by localized magnetic fields
F. Bentosela, R. M. Cavalcanti, P. Exner +1
We consider an electron with an anomalous magnetic moment g>2 confined to a plane and interacting with a nonzero magnetic field B perpendicular to the plane. We show that if B has…
Anomalous electron trapping by magnetic flux tubes and electric current vortices
F. Bentosela, P. Exner, V. A. Zagrebnov
We consider an electron with an anomalous magnetic moment, g>2, confined to a plane and interacting with a nonhomogeneous magnetic field B, and investigate the corresponding Pauli…
Electron trapping by a current vortex
F. Bentosela, P. Exner, V. A. Zagrebnov
We investigate an electron in the plane interacting with the magnetic field due to an electric current forming a localized rotationally symmetric vortex. We show that independently…