29 citations · 137 across the 10 of their papers we have counts for
5 papers · 1 filter
Strong coupling asymptotics for Schrödinger operators with an interaction supported by an open arc in three dimensions
Pavel Exner, Sylwia Kondej
We consider Schrödinger operators with a strongly attractive singular interaction supported by a finite curve of lenghth in . We show that if is -smooth and…
Strong coupling asymptotics for a singular Schroedinger operator with an interaction supported by an open arc
Pavel Exner, Konstantin Pankrashkin
We consider a singular Schrödinger operator in written formally as where is a smooth open arc in of length with regul…
Eigenvalue asymptotics for the Schrödinger operator with a -interaction on a punctured surface
P. Exner, K. Yoshitomi
Given , we put . Let be acompact, -smooth surface in which contains the origin. Let further $\{S_ε\}_{0\leε<η…
Spectral properties of Schroedinger operators with a strongly attractive delta interaction supported by a surface
Pavel Exner
We investigate the operator in , where is a smooth surface which is either compact or periodic and satisfies suitable regularity requirements. W…
Band gap of the Schroedinger operator with a strong delta-interaction on a periodic curve
Pavel Exner, Kazushi Yoshitomi
In this paper we study the operator in , where is a smooth periodic curve in . We obtain the asymptotic form of the…