79 citations · 481 across the 62 of their papers we have counts for
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Spectral and resonance properties of Smilansky Hamiltonian
Pavel Exner, Vladimir Lotoreichik, Miloš Tater
We analyze the Hamiltonian proposed by Smilansky to describe irreversible dynamics in quantum graphs and studied further by Solomyak and others. We derive a weak-coupling asymptoti…
Eigenvalue inequalities for the Laplacian with mixed boundary conditions
Vladimir Lotoreichik, Jonathan Rohleder
Inequalities for the eigenvalues of the (negative) Laplacian subject to mixed boundary conditions on polyhedral and more general bounded domains are established. The eigenvalues su…
On the spectral properties of Dirac operators with electrostatic -shell interactions
Jussi Behrndt, Pavel Exner, Markus Holzmann +1
In this paper the spectral properties of Dirac operators with electrostatic -shell interactions of constant strength supported on compact smooth surfaces in $\mathbb{R…
Spectral isoperimetric inequalities for singular interactions on open arcs
Vladimir Lotoreichik
We consider the problem of geometric optimization for the lowest eigenvalue of the two-dimensional Schrödinger operator with an attractive -interaction supported on an open arc…
Optimisation of the lowest Robin eigenvalue in the exterior of a compact set
David Krejcirik, Vladimir Lotoreichik
We consider the problem of geometric optimisation of the lowest eigenvalue of the Laplacian in the exterior of a compact planar set, subject to attractive Robin boundary conditions…
Spectral transitions for Aharonov-Bohm Laplacians on conical layers
David Krejcirik, Vladimir Lotoreichik, Thomas Ourmières-Bonafos
We consider the Laplace operator in a tubular neighbourhood of a conical surface of revolution, subject to an Aharonov-Bohm magnetic field supported on the axis of symmetry and Dir…