5 papers · 1 filter
Resolvent estimates for one-dimensional Dirac operators with imaginary potentials
Antonio Arnal, Tho Nguyen Duc, Petr Siegl
We investigate massive one-dimensional Dirac operators perturbed by diagonal matrix potentials of the form where the function is real-valued and unbounded at infinity. Fo…
Riesz property in the case of multiple eigenvalues
Boris Mityagin, Petr Siegl
We analyze spectra and the Riesz property of spectral projections of non-symmetric perturbations of self-adjoint operators with eigenvalues having arbitrary multiplicities, includi…
Revisiting the Weak Coupling Phenomenon for Two-Dimensional Schrödinger Operators
Jussi Behrndt, Petr Siegl, Nicolas Weber
We study the existence of negative eigenvalues for two-dimensional Schrödinger operators with real-valued potentials in the weak coupling regime. In his pioneering paper [Simon 19…
Weak coupling for Schrödinger operators with complex potentials
Jussi Behrndt, Markus Holzmann, Petr Siegl +1
We study the discrete eigenvalues emerging from the threshold of the essential spectrum of one or two-dimensional Schrödinger operators with complex-valued -potentials in a…
Generalized boundary triples for adjoint pairs with applications to non-self-adjoint Schrödinger operators
Antonio Arnal, Jussi Behrndt, Markus Holzmann +1
We extend the notion of generalized boundary triples and their Weyl functions from extension theory of symmetric operators to adjoint pairs of operators, and we provide criteria on…