79 citations · 481 across the 62 of their papers we have counts for
4 papers · 2 filters
A geometric bound on the lowest magnetic Neumann eigenvalue via the torsion function
Ayman Kachmar, Vladimir Lotoreichik
We obtain an upper bound on the lowest magnetic Neumann eigenvalue of a bounded, convex, smooth, planar domain with moderate intensity of the homogeneous magnetic field. This bound…
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…