Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2008, Volume 4, Number 1, Pages 108–120 (Mi jmag86)  
On the Simon–Spencer theorem

A. Gordona, J. Holtb, A. Laptevc, S. Molchanova

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
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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.
Received: 20.10.2007
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Document Type: Article
MSC: 81Q10, 47E05, 34L40
Language: English
Citation: A. Gordon, J. Holt, A. Laptev, S. Molchanov, “On the Simon–Spencer theorem”, Zh. Mat. Fiz. Anal. Geom., 4:1 (2008), 108–120
Citation in format AMSBIB
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\by A.~Gordon, J.~Holt, A.~Laptev, S.~Molchanov
\paper On the Simon--Spencer theorem
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2008
\vol 4
\issue 1
\pages 108--120
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