40 citations · 72 across the 6 of their papers we have counts for
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On-diagonal singularities of the Green functions for Schroedinger operators
Jochen Bruening, Vladimir Geyler, Konstantin Pankrashkin
We investigate the behavior of the Green functions of Schroedinger operators near the diagonal. The only non-trivial cases, where the on-diagonal singularities are non-zero and do…
Spectral properties of a short-range impurity in a quantum dot
J. Bruening, V. Geyler, I. Lobanov
The spectral properties of the quantum mechanical system consisting of a quantum dot with a short-range attractive impurity inside the dot are investigated in the zero-range limit.…
Large gaps in point-coupled periodic systems of manifolds
J. Bruening, P. Exner, V. A. Geyler
We study a free quantum motion on periodically structured manifolds composed of elementary two-dimensional "cells" connected either by linear segments or through points where the t…