Lukáš Heriban

collaborators

2 papers

math.SP2024

Two-dimensional Schrödinger operators with non-local singular potentials

Lukáš Heriban, Markus Holzmann, Christian Stelzer-Landauer +2

In this paper we introduce and study a family of self-adjoint realizations of the Laplacian in $L^{2} (R^{2})$ with a new type of transmission conditions along a closed bi-Lips…

math-ph2022

Non-self-adjoint relativistic point interaction in one dimension

Lukáš Heriban, Matěj Tušek

The one-dimensional Dirac operator with a singular interaction term which is formally given by $A \otimes ∣ δ_{0} ⟩ ⟨ δ_{0} ∣$ , where $A$ is an arbitrary $2 \times 2$ matrix and $δ…