In this paper we are interested in generalizing Keller-type eigenvalue estimates for the non-
selfadjoint Schrödinger operator to the Dirac operator, imposing some suitable rigidity …

By developing the method of multipliers, we establish sufficient conditions on the magnetic
field and the complex, matrix-valued electric potential, which guarantee that the …

Abstract We discuss abstract Birman—Schwinger principles to study spectra of self-adjoint
operators subject to small non-self-adjoint perturbations in a factorised form. In particular, we …

We study the confinement of Dirac fermions in armchair graphene nanoribbons by means of
electrostatic quantum dots. We provide an analytically feasible model where some bound …

We provide quantitative estimates on the location of eigenvalues of one-dimensional
discrete Dirac operators with complex ℓ^ p ℓ p-potentials for 1 ≤ p ≤ ∞ 1≤ p≤∞. As a …

In this paper we present a complete spectral analysis of Dirac operators with non-Hermitian
matrix potentials of the form $ i\operatorname {sgn}(x)+ V (x) $ where $ V\in L^ 1$. For $ V …

We prove that the eigenvalues of the n-dimensional massive Dirac operator D _0+ VD 0+ V,
n ≥ 2 n≥ 2, perturbed by a potential V, possibly non-Hermitian, are contained in the union …

We prove the absence of eigenvalues of the three-dimensional Dirac operator with non-
Hermitian potentials in unbounded regions of the complex plane under smallness conditions …

Using a correspondence between the spectrum of the damped wave equation and non-self-
adjoint Schrödinger operators, we derive various bounds on complex eigenvalues of the …

Abstract Recently, Ferrulli–Laptev–Safronov (2016) obtained eigenvalue estimates for an
operator associated with bilayer graphene in terms of L^ q L q norms of the (possibly non …