Marco Vogel

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20232026

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math.SP2026

On the discrete spectrum of Dirac operators with Lorentz-scalar $δ$ -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 $δ$ -shell interaction of strength $τ \in (- \infty, 0) ∖ {- 2}$ suppor…

math.SP2023

Asymptotics of Robin eigenvalues for non-isotropic peaks

Marco Vogel

Let $Ω \subset R^{3}$ 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 the discrete spectrum of Dirac operators with Lorentz-scalar δ-shell interactions supported on unbounded curves

Asymptotics of Robin eigenvalues for non-isotropic peaks

On the discrete spectrum of Dirac operators with Lorentz-scalar $δ$ -shell interactions supported on unbounded curves