3 citations · 4 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
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,\…