3 papers
math.AP2026
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…
math.AP2025
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…
math.AP2024
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…