The aim of this paper is to extend a class of potentials for which the absolutely continuous
spectrum of the corresponding multidimensional Schrödinger operator is essentially …

We consider a multi-dimensional Schrödinger operator− Δ+ V in L 2 (R d) and find
conditions on the potential V which guarantee that the absolutely continuous spectrum of …

We investigate one-dimensional Schrödinger operators with asymptotically small potentials.
It will follow from our results that if with, then is an essential support of the absolutely …

Absolutely continuous spectrum of multidimensional Schrodinger operator Page 1 IMRN
International Mathematics Research Notices 2004, No. 74 Absolutely Continuous Spectrum of …

(1) acting on the Hilbert space L2 (0,∞). One also needs a boundary condition at x= 0 in
order to obtain self-adjoint operators. The operator (1) describes the motion of a quantum …

For continuous and discrete one-dimensional Schrödinger operators with square summable
potentials, the absolutely continuous part of the spectrum is essentially supported by [0,∞) …

Destruction of Absolutely Continuous Spectrum by Perturbation Potentials of Bounded
Variation Page 1 Destruction of Absolutely Continuous Spectrum by Perturbation Potentials of …

The absolutely continuous spectrum of one-dimensional Schrödinger operators is proved to
be stable under perturbation by potentials satisfying mild decay conditions. In particular, the …

Absolutely continuous spectrum of a typical Schrödinger operator with a slowly decaying
potential Page 1 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 142 …

We prove that the spectrum of a Schrödinger operator with a potential which is periodic in
certain directions and super-exponentially decaying in the others is purely absolutely …