42 citations · 66 across the 15 of their papers we have counts for
16 papers · 1 filter
Magnetic Schroedinger operators with radially symmetric magnetic field and radially symmetric electric potential
Diana Barseghyan, Francoise Truc
The aim of the paper is to derive spectral estimates on the eigenvalue moments of the magnetic Schroedinger operators defined on the two-dimensional disk with a radially symmetric…
Topological Resonances on Quantum Graphs
Yves Colin de Verdìère, Francoise Truc
In this paper, we try to put the results of Smilansky and al. on "Topological resonances" on a mathematical basis.A key role in the asymptotic of resonances near the real axis for…
Schrödinger operators on a half-line with inverse square potentials
Hynek Kovarik, Francoise Truc
We consider Schrôdinger operators given by equation (1.1) below. We study the asymptotic behavior of the spectral density when goes to and the $L^1\to L^\…
Semiclassical analysis for a Schrödinger operator with a U(2) artificial gauge: the periodic case
Abderemane Morame, Francoise Truc
We consider a Schrödinger operator with a Hermitian 2x2 matrix-valued potential which is lattice periodic and can be diagonalized smoothly on the whole In the case of potent…
Maximal accretive extensions of Schrödinger operators on vector bundles over infinite graphs
Ognjen Milatovic, Francoise Truc
Given a Hermitian vector bundle over an infinite weighted graph, we define the Laplacian associated to a unitary connection on this bundle and study the essential self-adjointness…
Generalized Schrödinger semigroups on infinite graphs
Batu Gûneysu, Ognjen Milatovic, Francoise Truc
With appropriate notions of Hermitian vector bundles and connections over weighted graphs which we allow to be locally infinite, we prove Feynman-Kac-type representations for the c…