8 pagesInternational audienceAn explicit construction is provided for embedding n positive eigenvalues in the spectrum of a Schrödinger operator on the half-line with a Dirichlet boundary condition at the origin. The resulting potential is of von Neumann-Wigner type, but can be real valued as well as complex valued
International audienceThis article is devoted to the spectral analysis of the electromagnetic Schröd...
We consider the Schrödinger operator −Δ+V for negative potentials V, on open sets with positive firs...
AbstractWe obtain conditions on the negative spectra of Schrödinger operators with potentials V and ...
8 pagesInternational audienceAn explicit construction is provided for embedding n positive eigenvalu...
This thesis concerns the spectral theory of Schrödinger and Dirac operators. The main results relate...
In this thesis, we generalize a recent result of A. Eremenko and A. Gabrielov on irreducibility of t...
In this article, we obtain asymptotic formulas for the Bloch eigenvalues of the operator L generated...
AbstractWe consider Schrödinger operators H = − 12Δ + V for a large class of potentials. V. We show ...
We consider Schrödinger operators H = −1/2 Δ + V for a large class of potentials. V. We show that if...
Laptev and Safronov conjectured that any non-positive eigenvalue of a Schrödinger operator −Δ+Vin L2...
This paper is concerned with the estimation of the number of negative eigenvalues (bound states) of ...
AbstractIn this paper we investigate the spectrum and the spectral singularities of an operator L ge...
AbstractIn this article, we prove that 0 is not an accumulating point of the eigenvalues for a class...
We establish quantitative upper and lower bounds for Schrödinger operators with complex potentials t...
We prove Lieb–Thirring type bounds for fractional Schrödinger operators and Dirac operators with com...
International audienceThis article is devoted to the spectral analysis of the electromagnetic Schröd...
We consider the Schrödinger operator −Δ+V for negative potentials V, on open sets with positive firs...
AbstractWe obtain conditions on the negative spectra of Schrödinger operators with potentials V and ...
8 pagesInternational audienceAn explicit construction is provided for embedding n positive eigenvalu...
This thesis concerns the spectral theory of Schrödinger and Dirac operators. The main results relate...
In this thesis, we generalize a recent result of A. Eremenko and A. Gabrielov on irreducibility of t...
In this article, we obtain asymptotic formulas for the Bloch eigenvalues of the operator L generated...
AbstractWe consider Schrödinger operators H = − 12Δ + V for a large class of potentials. V. We show ...
We consider Schrödinger operators H = −1/2 Δ + V for a large class of potentials. V. We show that if...
Laptev and Safronov conjectured that any non-positive eigenvalue of a Schrödinger operator −Δ+Vin L2...
This paper is concerned with the estimation of the number of negative eigenvalues (bound states) of ...
AbstractIn this paper we investigate the spectrum and the spectral singularities of an operator L ge...
AbstractIn this article, we prove that 0 is not an accumulating point of the eigenvalues for a class...
We establish quantitative upper and lower bounds for Schrödinger operators with complex potentials t...
We prove Lieb–Thirring type bounds for fractional Schrödinger operators and Dirac operators with com...
International audienceThis article is devoted to the spectral analysis of the electromagnetic Schröd...
We consider the Schrödinger operator −Δ+V for negative potentials V, on open sets with positive firs...
AbstractWe obtain conditions on the negative spectra of Schrödinger operators with potentials V and ...