5 citations · 5 across the 5 of their papers we have counts for
5 papers
Spectral asymptotics of the Dirac operator in a thin shell
Vladimir Lotoreichik, Thomas Ourmières-Bonafos
We investigate the spectrum of the Dirac operator with infinite mass boundary conditions posed in a tubular neighborhood of a smooth compact hypersurface in without…
Spectral analysis of the Dirac operator with a singular interaction on a broken line
Dale Frymark, Markus Holzmann, Vladimir Lotoreichik
We consider the one-parametric family of self-adjoint realizations of the two-dimensional massive Dirac operator with a Lorentz scalar -shell interaction of strength $τ\in\mathb…
Improved inequalities between Dirichlet and Neumann eigenvalues of the biharmonic operator
Vladimir Lotoreichik
We prove that the -th Neumann eigenvalue of the biharmonic operator on a bounded connected -dimensional Lipschitz domain is not larger than its -th Dirichlet…
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…
An eigenvalue inequality for Schrödinger operators with and -interactions supported on hypersurfaces
Vladimir Lotoreichik, Jonathan Rohleder
We consider self-adjoint Schrödinger operators in with a -interaction of strength and a -interaction of strength , respectively, supported on a h…