7 papers
Eigenvalue bounds and spectral stability of Lamé operators with complex potentials
Biagio Cassano, Lucrezia Cossetti, Luca Fanelli
This paper is devoted to providing quantitative bounds on the location of eigenvalues, both discrete and embedded, of non self-adjoint Lamé operators of elasticity in…
Location of eigenvalues of non-self-adjoint discrete Dirac operators
Biagio Cassano, Orif O. Ibrogimov, David Krejcirik +1
We provide quantitative estimates on the location of eigenvalues of one-dimensional discrete Dirac operators with complex -potentials for . As a corollar…
Self-adjoint extensions of the two-valley Dirac operator with discontinuous infinite mass boundary conditions
Biagio Cassano, Vladimir Lotoreichik
We consider the four-component two-valley Dirac operator on a wedge in with infinite mass boundary conditions, which enjoy a flip at the vertex. We show that it has…
A Hardy-type inequality and some spectral characterizations for the Dirac-Coulomb operator
Biagio Cassano, Fabio Pizzichillo, Luis Vega
We prove a sharp Hardy-type inequality for the Dirac operator. We exploit this inequality to obtain spectral properties of the Dirac operator perturbed with Hermitian matrix-valued…
Boundary triples for the Dirac operator with Coulomb-type spherically symmetric perturbations
Biagio Cassano, Fabio Pizzichillo
We determine explicitly a boundary triple for the Dirac operator in , for and $\mathbb V(x)= |x|^{-1} ( ν\mathb…
Sharp exponential localization for solutions of the Perturbed Dirac Equation
Biagio Cassano
We determine the largest non-trivial rate of exponential decay at infinity for solutions to the Dirac equation \begin{equation*} \mathcal{D}_n ψ+ \mathbb{V} ψ= 0 \quad \text{ in }\…