works on
congruence transform 1dirac operators 1MIT bag model 1self-adjointness 1shell interactions 1

From the 1 of 4 linked papers with an AI index.

collaborators

4 papers

math-ph2026

Congruence of Dirac operators with applications to generalized MIT bag models

Joaquim Duran, Konstantin Pankrashkin

The paper introduces a simple congruence transformation that shifts coupling parameters for Dirac operators with shell interactions, and uses it to derive new results on the self‑a…

math.AP2026

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…

math.AP2026

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.AP2025

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…