138 citations · 1.3k across the 90 of their papers we have counts for
8 papers · 1 filter
Absence of eigenvalues of non-self-adjoint Robin Laplacians on the half-space
Lucrezia Cossetti, David Krejcirik
By developing the method of multipliers, we establish sufficient conditions which guarantee the total absence of eigenvalues of the Laplacian in the half-space, subject to variable…
The Cheeger constant of curved tubes
David Krejcirik, Gian Paolo Leonardi, Petr Vlachopulos
We compute the Cheeger constant of spherical shells and tubular neighbourhoods of complete curves in an arbitrary dimensional Euclidean space.
Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators
Luca Fanelli, David Krejcirik
We prove the absence of eigenvaues of the three-dimensional Dirac operator with non-Hermitian potentials in unbounded regions of the complex plane under smallness conditions on the…
Spectral analysis of sheared nanoribbons
Philippe Briet, Hamza Abdou Soimadou, David Krejcirik
We investigate the spectrum of the Dirichlet Laplacian in a unbounded strip subject to a new deformation of "shearing": the strip is built by translating a segment oriented in a co…
On the improvement of the Hardy inequality due to singular magnetic fields
Luca Fanelli, David Krejcirik, Ari Laptev +1
We establish magnetic improvements upon the classical Hardy inequality for two specific choices of singular magnetic fields. First, we consider the Aharonov-Bohm field in all dimen…
The minimally anisotropic metric operator in quasi-Hermitian quantum mechanics
David Krejcirik, Vladimir Lotoreichik, Miloslav Znojil
We propose a unique way how to choose a new inner product in a Hilbert space with respect to which an originally non-self-adjoint operator similar to a self-adjoint operator become…