8 citations · 8 across the 3 of their papers we have counts for
4 papers
A Block-diagonal form for four-component operators describing Graphene Quantum Dots
Rafael D. Benguria, Edgardo Stockmeyer, Cristóbal Vallejos +1
We consider four-component Dirac operators on domains in the plane. With suitable boundary conditions, these operators describe graphene quantum dots. The most general boundary con…
Self-Adjointness of two dimensional Dirac operators on corner domains
Fabio Pizzichillo, Hanne Van Den Bosch
We investigate the self-adjointness of the two-dimensional Dirac operator , with quantum-dot and Lorentz-scalar -shell boundary conditions, on piecewise domains with fi…
Gagliardo-Nirenberg-Sobolev inequalities for convex domains in
Rafael D. Benguria, Cristobal Vallejos, Hanne Van Den Bosch
A special type of Gagliardo-Nirenberg-Sobolev (GNS) inequalities in has played a key role in several proofs of Lieb-Thirring inequalities. Recently, a need for GNS i…
A criterion for the existence of zero modes for the Pauli operator with fastly decaying fields
Rafael D. Benguria, Hanne Van Den Bosch
We consider the Pauli operator in for magnetic fields in that decay at infinity as with . In this case we are able to prove that the exis…