Work related to Michel's Doctoral thesis in preparation at Georgia Institute of Technology.Harrell: Partially supported by the US NSF through grant DMS-9211624. Michel: Part of this research was conducted during the US-Sweden Workshop on Spectral Methods sponsored by the NSF under grant INT-9217529
Abstract. By means of a commutation formula, I give a simple proof of the upper bound of Wong et al ...
Laptev and Safronov (Commun Math Phys 292(1):29–54, 2009) conjectured an inequality between the magn...
AbstractWe prove quantitative bounds on the eigenvalues of non-selfadjoint unbounded operators obtai...
Work related to Michel's Doctoral Thesis at Georgia Institute of Technology.We prove a purely algebr...
AbstractUsing simple commutator relations, we obtain several trace identities involving eigenvalues ...
We prove a Lieb--Thirring inequality for Schr\"odinger operators $-\frac{\mathrm{d}^2}{\mathrm{d}x^2...
This thesis concerns how to compute upper and lower bounds for the eigenvalues of self-adjoint oper...
In this thesis, we study the spectrum of Schrödinger operators with complex potentials and Dirichle...
This paper is concerned with {an extension and reinterpretation} of previous results on the variatio...
We establish the upper bounds for the difference between the first two eigenvalues of the relative a...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
AbstractThis paper is concerned with the eigenvalue problem (−Δ+V(x))u=λuon Ω andu|∂Ω=0, where Ω is ...
We prove bounds on the sum of the differences between the eigenvalues of a Schr\"odinger operator an...
20 pages, 1 figure, AMS-LaTeX.For all sums of eigenfunctions of a semiclassical Schrödinger operator...
Several recent papers have focused their attention in proving the correct analogue to the Lieb-Thirr...
Abstract. By means of a commutation formula, I give a simple proof of the upper bound of Wong et al ...
Laptev and Safronov (Commun Math Phys 292(1):29–54, 2009) conjectured an inequality between the magn...
AbstractWe prove quantitative bounds on the eigenvalues of non-selfadjoint unbounded operators obtai...
Work related to Michel's Doctoral Thesis at Georgia Institute of Technology.We prove a purely algebr...
AbstractUsing simple commutator relations, we obtain several trace identities involving eigenvalues ...
We prove a Lieb--Thirring inequality for Schr\"odinger operators $-\frac{\mathrm{d}^2}{\mathrm{d}x^2...
This thesis concerns how to compute upper and lower bounds for the eigenvalues of self-adjoint oper...
In this thesis, we study the spectrum of Schrödinger operators with complex potentials and Dirichle...
This paper is concerned with {an extension and reinterpretation} of previous results on the variatio...
We establish the upper bounds for the difference between the first two eigenvalues of the relative a...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
AbstractThis paper is concerned with the eigenvalue problem (−Δ+V(x))u=λuon Ω andu|∂Ω=0, where Ω is ...
We prove bounds on the sum of the differences between the eigenvalues of a Schr\"odinger operator an...
20 pages, 1 figure, AMS-LaTeX.For all sums of eigenfunctions of a semiclassical Schrödinger operator...
Several recent papers have focused their attention in proving the correct analogue to the Lieb-Thirr...
Abstract. By means of a commutation formula, I give a simple proof of the upper bound of Wong et al ...
Laptev and Safronov (Commun Math Phys 292(1):29–54, 2009) conjectured an inequality between the magn...
AbstractWe prove quantitative bounds on the eigenvalues of non-selfadjoint unbounded operators obtai...