AbstractThis paper is concerned with properties of the spectrum and resolvent of Schroedinger operators −△ + q(x) in 3-dimensional Euclidean space. It is assumed that q is locally square integrable and O(¦ x ¦−1 −ϵ) as ¦ x ¦ → ∞ (ϵ > 0)
Let V be a potential on R3 that is smooth everywhere except at a discrete set S of points, where it ...
We extend several fundamental estimates regarding spectral multipliers for the free Laplacian on $R^...
AbstractAbsolute continuity in (0, ∞) for Schrödinger operators − Δ + V(x), with long range potentia...
AbstractThis paper is concerned with properties of the spectrum and resolvent of Schroedinger operat...
60 pagesInternational audienceThe paper is devoted to operators given formally by the expression −∂^...
AbstractWe consider Schrödinger operators H = − 12Δ + V for a large class of potentials. V. We show ...
AbstractLet H = −Δ + VE(¦x¦)+ V(x) be a Schrödinger operator in Rn. Here VE(¦x¦) is an “exploding” r...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
In this paper we present a survey of results on the Schrodinger operator with Inverse ¨ Square poten...
We prove that the spectrum of Schroedinger operators in three dimensions is purely continuous and co...
Let $H=-Δ+V(x)$ be the Schrodinger operator on ${\bf R}^m$, $m\ge 3$. We show that the wave operator...
Observability estimates on Euclidean space are considered. We prove the observability estimate for S...
AbstractA spectral representation for the self-adjoint Schrödinger operator H = −Δ + V(x), x ϵ R3, i...
International audienceWe prove new and explicit formulas for the wave operators of Schroedinger oper...
Spectral theory is a powerful tool when applied to differential equations. The fundamental result be...
Let V be a potential on R3 that is smooth everywhere except at a discrete set S of points, where it ...
We extend several fundamental estimates regarding spectral multipliers for the free Laplacian on $R^...
AbstractAbsolute continuity in (0, ∞) for Schrödinger operators − Δ + V(x), with long range potentia...
AbstractThis paper is concerned with properties of the spectrum and resolvent of Schroedinger operat...
60 pagesInternational audienceThe paper is devoted to operators given formally by the expression −∂^...
AbstractWe consider Schrödinger operators H = − 12Δ + V for a large class of potentials. V. We show ...
AbstractLet H = −Δ + VE(¦x¦)+ V(x) be a Schrödinger operator in Rn. Here VE(¦x¦) is an “exploding” r...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
In this paper we present a survey of results on the Schrodinger operator with Inverse ¨ Square poten...
We prove that the spectrum of Schroedinger operators in three dimensions is purely continuous and co...
Let $H=-Δ+V(x)$ be the Schrodinger operator on ${\bf R}^m$, $m\ge 3$. We show that the wave operator...
Observability estimates on Euclidean space are considered. We prove the observability estimate for S...
AbstractA spectral representation for the self-adjoint Schrödinger operator H = −Δ + V(x), x ϵ R3, i...
International audienceWe prove new and explicit formulas for the wave operators of Schroedinger oper...
Spectral theory is a powerful tool when applied to differential equations. The fundamental result be...
Let V be a potential on R3 that is smooth everywhere except at a discrete set S of points, where it ...
We extend several fundamental estimates regarding spectral multipliers for the free Laplacian on $R^...
AbstractAbsolute continuity in (0, ∞) for Schrödinger operators − Δ + V(x), with long range potentia...
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