3 citations · 3 across the 6 of their papers we have counts for
5 papers · 1 filter
A Payne-Weinberger inequality for quantum dot Dirac operators
Joaquim Duran, Albert Mas, Tomás Sanz-Perela
In this work we prove a Payne-Weinberger type inequality for quantum dot Dirac operators defined on bounded and simply connected planar domains. This is a sharp upper bound for the…
Eigenvalue bounds for quantum dot Dirac operators
Joaquim Duran
We exploit the connection between quantum dot Dirac operators and -Robin Laplacians. First, we find a graphical relation between their smallest positive eigenval…
A survey on the resolvent convergence
Joaquim Duran
This chapter deals with the notion of the resolvent of a self-adjoint operator. We pay special attention to the convergence of unbounded self-adjoint operators in several resolvent…
A connection between quantum dot Dirac operators and -Robin Laplacians in the context of shape optimization problems
Joaquim Duran, Albert Mas, Tomás Sanz-Perela
This work addresses Faber-Krahn-type inequalities for quantum dot Dirac operators with nonnegative mass on bounded domains in . We show that this family of inequaliti…
Convergence of generalized MIT bag models to Dirac operators with zigzag boundary conditions
Joaquim Duran, Albert Mas
This work addresses the resolvent convergence of generalized MIT bag operators to Dirac operators with zigzag type boundary conditions. We prove that the convergence holds in stron…