3 citations · 4 across the 5 of their papers we have counts for
5 papers
On the discrete spectrum of Dirac operators with Lorentz-scalar -shell interactions supported on unbounded curves
Markus Holzmann, Vladimir Lotoreichik, Marco Vogel
We consider the massive Dirac operator (with positive mass) in the plane with an attractive Lorentz-scalar -shell interaction of strength suppor…
Laplacian eigenvalues for large negative Robin parameters on domains with outward peaks
Konstantin Pankrashkin, Firoj Sk, Marco Vogel
We study the asymptotic behavior of individual eigenvalues of the Laplacian in domains with outward peaks for large negative Robin parameters. A large class of cross-sections is al…
Asymptotics of Robin eigenvalues for non-isotropic peaks
Marco Vogel
Let be an open set such that \begin{align*} &Ω\cap (-δ,δ)^3=\left\{(x_1,x_2,x_3)\in \mathbb{R}^2\times(0,δ): \, \left(\frac{x_1}{x_3^p},\frac{x_2}{x_3^q}\ri…
On Schrödinger operators with -potentials supported on star graphs
Konstantin Pankrashkin, Marco Vogel
The spectral properties of two-dimensional Schrödinger operators with -potentials supported on star graphs are discussed. We describe the essential spectrum and give a complete…
Asymptotics of Robin eigenvalues on sharp infinite cones
Konstantin Pankrashkin, Marco Vogel
Let be a bounded domain with Lipschitz boundary. For and consider the infinite cone $Ω_{\varepsilon}:=\big\{(x_1,x')\in (0,\…