AbstractIt is proven that the absolutely continuous spectrum of matrix Schrödinger operators coincides (with the multiplicity taken into account) with the spectrum of the unperturbed operator if the (matrix) potential is square integrable. The same result is also proven for some classes of slower decaying potentials if they are smooth
We prove that a three-dimensional Schrödinger operator with slowly decaying potential has an absolut...
We consider Schrödinger operators H = −1/2 Δ + V for a large class of potentials. V. We show that if...
AbstractWe prove sufficient conditions involving only potential asymptotic near one of the infinitie...
The absolutely continuous spectrum of one-dimensional Schrödinger operators is proved to be stable u...
Abstract: For continuous and discrete one-dimensional Schrödinger operators with square summable pot...
The proof of Lemma 6.1 and thus Theorem 6.1 was false; the new version provides a correct proof. The...
AbstractFor a large class of multi-dimensional Schrödinger operators it is shown that the absolutely...
ABSTRACT. The aim of this paper is to extend a class of potentials for which the absolutely continuo...
By presenting simple theorems for the absence of positive eigenvalues for certain one-dimensional Sc...
By presenting simple theorems for the absence of positive eigenvalues for certain one-dimensional Sc...
NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in ...
Using control of the growth of the transfer matrices, we discuss the spectral analysis of continuum ...
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...
We prove that the spectrum of Schroedinger operators in three dimensions is purely continuous and co...
We prove that a three-dimensional Schrödinger operator with slowly decaying potential has an absolut...
We consider Schrödinger operators H = −1/2 Δ + V for a large class of potentials. V. We show that if...
AbstractWe prove sufficient conditions involving only potential asymptotic near one of the infinitie...
The absolutely continuous spectrum of one-dimensional Schrödinger operators is proved to be stable u...
Abstract: For continuous and discrete one-dimensional Schrödinger operators with square summable pot...
The proof of Lemma 6.1 and thus Theorem 6.1 was false; the new version provides a correct proof. The...
AbstractFor a large class of multi-dimensional Schrödinger operators it is shown that the absolutely...
ABSTRACT. The aim of this paper is to extend a class of potentials for which the absolutely continuo...
By presenting simple theorems for the absence of positive eigenvalues for certain one-dimensional Sc...
By presenting simple theorems for the absence of positive eigenvalues for certain one-dimensional Sc...
NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in ...
Using control of the growth of the transfer matrices, we discuss the spectral analysis of continuum ...
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...
We prove that the spectrum of Schroedinger operators in three dimensions is purely continuous and co...
We prove that a three-dimensional Schrödinger operator with slowly decaying potential has an absolut...
We consider Schrödinger operators H = −1/2 Δ + V for a large class of potentials. V. We show that if...
AbstractWe prove sufficient conditions involving only potential asymptotic near one of the infinitie...
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