Add to ORKGIn this paper we study the negative eigenvalues λj(V) of the Schrödinger operator − ∆ − V (x), x ∈ Rd. If V decays as |x | → ∞ in a certain integral sense, then the negative spectrum of the operator is discrete. The igenvalues λj(V) can accumulate only to the point zero. Moreover, the rat
In this paper we consider the Schrödinger operator H = –d2/dx2+ V in L2(R), where V satisfies an abs...
We consider random Schrödinger operators with Dirichlet boundary conditions outside lattice approxim...
We consider random Schrödinger operators with Dirichlet boundary conditions outside lattice approxim...
We strengthen and generalise a result of Kirsch and Simon on the behaviour of the function NL(E), th...
In this paper we consider the Schrödinger operator H = –d2/dx2+ V in L2(ℝ), where V satisfies an abs...
We investigate spectral properties of random Schrödinger operators H_ω = - Δ + ξ_n(ω)(1 + │n│^ɑ) act...
We investigate spectral properties of random Schrödinger operators H_ω = - Δ + ξ_n(ω)(1 + │n│^ɑ) act...
We prove that the eigenvalues of a continuum random Schrödinger operator −∆ + Vω of Anderson type, w...
We prove that the eigenvalues of a continuum random Schrödinger operator −∆ + Vω of Anderson type, w...
We prove that the eigenvalues of a continuum random Schrödinger operator −∆ + Vω of Anderson type, w...
International audienceWe prove a certain upper bound for the number of negative eigenvalues of the S...
On the d- dimensional lattice 2 , 1 , d d Z the discrete Schrödinger operator H with non- local...
This paper is concerned with the estimation of the number of negative eigenvalues (bound states) of ...
We consider the one dimensional discrete Schrödinger operator h = h_0 + V on the full line and half ...
We study spectra of Schrödinger operators on R d. First we consider a pair of operators which differ...
In this paper we consider the Schrödinger operator H = –d2/dx2+ V in L2(R), where V satisfies an abs...
We consider random Schrödinger operators with Dirichlet boundary conditions outside lattice approxim...
We consider random Schrödinger operators with Dirichlet boundary conditions outside lattice approxim...
We strengthen and generalise a result of Kirsch and Simon on the behaviour of the function NL(E), th...
In this paper we consider the Schrödinger operator H = –d2/dx2+ V in L2(ℝ), where V satisfies an abs...
We investigate spectral properties of random Schrödinger operators H_ω = - Δ + ξ_n(ω)(1 + │n│^ɑ) act...
We investigate spectral properties of random Schrödinger operators H_ω = - Δ + ξ_n(ω)(1 + │n│^ɑ) act...
We prove that the eigenvalues of a continuum random Schrödinger operator −∆ + Vω of Anderson type, w...
We prove that the eigenvalues of a continuum random Schrödinger operator −∆ + Vω of Anderson type, w...
We prove that the eigenvalues of a continuum random Schrödinger operator −∆ + Vω of Anderson type, w...
International audienceWe prove a certain upper bound for the number of negative eigenvalues of the S...
On the d- dimensional lattice 2 , 1 , d d Z the discrete Schrödinger operator H with non- local...
This paper is concerned with the estimation of the number of negative eigenvalues (bound states) of ...
We consider the one dimensional discrete Schrödinger operator h = h_0 + V on the full line and half ...
We study spectra of Schrödinger operators on R d. First we consider a pair of operators which differ...
In this paper we consider the Schrödinger operator H = –d2/dx2+ V in L2(R), where V satisfies an abs...
We consider random Schrödinger operators with Dirichlet boundary conditions outside lattice approxim...
We consider random Schrödinger operators with Dirichlet boundary conditions outside lattice approxim...