A. Gordon, J. Holt, A. Laptev, S. Molchanov, “On the Simon–Spencer theorem”, Zh. Mat. Fiz. Anal. Geom., 2008, Volume 4, Number 1,Pages <nobr>108

On the Simon–Spencer theorem

A. Gordon^a, J. Holt^b, A. Laptev^c, S. Molchanov^a

^a University of North Carolina at Charlotte, Charlotte, NC 28223, USA
^b University of South Carolina Lancaster, Lancaster, SC 29721, USA
^c Imperial College London, London SW7 2AZ, UK

Abstract: This paper presents a generalization of the classical result by B. Simon and T. Spencer on the absence of absolutely continuous spectrum for the continuous one-dimensional Schrödinger operator with an unbounded potential.

Key words and phrases: Schrödinger operator, localization, Simon-Spencer theorem.

MSC: 81Q10, 47E05, 34L40

Received: 20.10.2007

Language: English