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math.SP2026
Discrete spectrum from local perturbations of leaky curves
Pavel Exner
We discuss spectrum of a class of singular Schrödinger operator models known as leaky curves and show that if the interaction support has a periodic shape, its local perturbations…
math.SP2023
On two-dimensional Dirac operators with -shell interactions supported on unbounded curves with straight ends
Jussi Behrndt, Pavel Exner, Markus Holzmann +1
In this paper we study the self-adjointness and spectral properties of two-dimensional Dirac operators with electrostatic, Lorentz scalar, and anomalous magnetic -shell interact…