Pavel Exner, Kazushi Yoshitomi
In this paper we investigate the operator H fi = \Gamma\Delta \Gamma fi ffi(\Delta \Gamma \Gamma) in L 2
Exner, Pavel, Yoshitomi, Kazushi
We investigate the two-dimensional magnetic Schr\"odinger operator $H_{B,\beta}=(-i\nabla-A)^2 -\beta\delta(\cdot-\Gamma)$, where $\Gamma$ is a smooth loop and the vector potential $A$ corresponds to...
Band gap of the Schroedinger operator with a strong delta-interaction on a periodic curve (2001)
Exner, Pavel, Yoshitomi, Kazushi
In this paper we study the operator $H_{\beta}=-\Delta-\beta\delta(\cdot-\Gamma)$ in $L^{2}(\mathbb{R}^{2})$, where $\Gamma$ is a smooth periodic curve in $\mathbb{R}^{2}$. We obtain the asymptotic...
Exner, Pavel, Yoshitomi, Kazushi
In this paper we investigate the operator $H_{\beta}=-\Delta-\beta\delta(\cdot-\Gamma)$ in $L^{2}({\Bbb R}^{2})$, where $\beta>0$ and $\Gamma$ is a closed $C^{4}$ Jordan curve in ${\Bbb R}^{2}$. We...