Boundary triples and Weyl functions for Dirac operators with singular interactions
J Behrndt, M Holzmann, C Stelzer, G Stenzel - arXiv preprint arXiv …, 2022 - arxiv.org
In this article we develop a systematic approach to treat Dirac operators $ A_
{\eta,\tau,\lambda} $ with singular electrostatic, Lorentz scalar, and anomalous magnetic …
{\eta,\tau,\lambda} $ with singular electrostatic, Lorentz scalar, and anomalous magnetic …
The Landau Hamiltonian with -potentials supported on curves
The spectral properties of the singularly perturbed self-adjoint Landau Hamiltonian A
α=(i∇+ A) 2+ α δ Σ in L 2 (ℝ 2) with a δ-potential supported on a finite C 1, 1-smooth curve Σ …
α=(i∇+ A) 2+ α δ Σ in L 2 (ℝ 2) with a δ-potential supported on a finite C 1, 1-smooth curve Σ …
The equivalent media generated by bubbles of high contrasts: Volumetric metamaterials and metasurfaces
We deal with the point-interaction approximations for the acoustic wave fields generated by
a cluster of highly contrasted bubbles for a wide range of densities and bulk moduli …
a cluster of highly contrasted bubbles for a wide range of densities and bulk moduli …
An introduction to the mathematics of the imaging modalities using small scaled contrast agents
A Ghandriche, M Sini - arXiv preprint arXiv:2008.12087, 2020 - arxiv.org
In the recent years, we witness a great interest in imaging, in a wide sense, using contrast
agents. One of the reasons is that many imaging modalities, as the ones related to medical …
agents. One of the reasons is that many imaging modalities, as the ones related to medical …
Schrödinger evolution of superoscillations with - and -potentials
In this paper, we study the time persistence of superoscillations as the initial data of the time-
dependent Schrödinger equation with δ δ-and δ'δ′-potentials. It is shown that the …
dependent Schrödinger equation with δ δ-and δ'δ′-potentials. It is shown that the …
[HTML][HTML] Scattering matrices and Dirichlet-to-Neumann maps
A general representation formula for the scattering matrix of a scattering system consisting of
two self-adjoint operators in terms of an abstract operator valued Titchmarsh–Weyl m …
two self-adjoint operators in terms of an abstract operator valued Titchmarsh–Weyl m …
[HTML][HTML] Green's function for the Schrödinger equation with a generalized point interaction and stability of superoscillations
In this paper we study the time dependent Schrödinger equation with all possible self-adjoint
singular interactions located at the origin, which include the δ and δ′-potentials as well as …
singular interactions located at the origin, which include the δ and δ′-potentials as well as …
On the origin of Minnaert resonances
It is well known that the presence, in a homogeneous acoustic medium, of a small
inhomogeneity (of size ε), enjoying a high contrast of both its mass density and bulk …
inhomogeneity (of size ε), enjoying a high contrast of both its mass density and bulk …
On inverses of Krein's Q-functions
Let $ A_ {Q} $ be the self-adjoint operator defined by the $ Q $-function $ Q: z\mapsto Q_ {z}
$ through the Krein-like resolvent formula $$(-A_ {Q}+ z)^{-1}=(-A_ {0}+ z)^{-1}+ G_ {z} WQ …
$ through the Krein-like resolvent formula $$(-A_ {Q}+ z)^{-1}=(-A_ {0}+ z)^{-1}+ G_ {z} WQ …
Limiting absorption principle, generalized eigenfunctions, and scattering matrix for Laplace operators with boundary conditions on hypersurfaces
We provide a limiting absorption principle for the self-adjoint realizations of Laplace
operators corresponding to boundary conditions on (relatively open parts† of) compact …
operators corresponding to boundary conditions on (relatively open parts† of) compact …