24 citations · 31 across the 4 of their papers we have counts for
4 papers
General -shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation
Biagio Cassano, Vladimir Lotoreichik, Albert Mas +1
In this work we consider the two-dimensional Dirac operator with general local singular interactions supported on a closed curve. A systematic study of the interaction is performed…
Spectral analysis of the multi-dimensional diffusion operator with random jumps from the boundary
David Krejcirik, Vladimir Lotoreichik, Konstantin Pankrashkin +1
We develop a Hilbert-space approach to the diffusion process of the Brownian motion in a bounded domain with random jumps from the boundary introduced by Ben-Ari and Pinsky in 2007…
A geometric Iwatsuka type effect in quantum layers
Pavel Exner, Tomáš Kalvoda, Matěj Tušek
We study motion of a charged particle confined to Dirichlet layer of a fixed width placed into a homogeneous magnetic field. If the layer is planar and the field is perpendicular t…
Indirect Coulomb Energy for Two-Dimensional Atoms
Rafael D. Benguria, Matěj Tušek
In this manuscript we provide a family of lower bounds on the indirect Coulomb energy for atomic and molecular systems in two dimensions in terms of a functional of the single part…