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Absolutely continuous spectrum of Schrödinger operators with slowly decaying and oscillating potentials
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2005 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 253, no 3, 611-631 p.Article in journal (Refereed) Published
Abstract [en]

The aim of this paper is to extend a class of potentials for which the absolutely continuous spectrum of the corresponding multidimensional Schrodinger operator is essentially supported by [0, infinity). Our main theorem states that this property is preserved for slowly decaying potentials provided that there are some oscillations with respect to one of the variables.

Place, publisher, year, edition, pages
2005. Vol. 253, no 3, 611-631 p.
Keyword [en]
vonneumann wigner potentials, jacobi matrices, scattering, hamiltonians
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-14550DOI: 10.1007/s00220-004-1157-9ISI: 000227181600005Scopus ID: 2-s2.0-12444289606OAI: oai:DiVA.org:kth-14550DiVA: diva2:332591
Note

QC 20100525

Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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