The trace formulas for a half-line Schrodinger operator with long-range potentials

dc.contributor.author	Belov, Sergei M.
dc.date.accessioned	2016-09-27T22:51:13Z
dc.date.available	2016-09-27T22:51:13Z
dc.date.issued	2002-12
dc.identifier.uri	http://hdl.handle.net/11122/6910
dc.description	Thesis (M.S.) University of Alaska Fairbanks, 2002	en_US
dc.description.abstract	The present work deals with trace formulas for a half-line Schrödinger operator with long-range potentials. These formulas relate the potential with some scattering data. We generalize some relevant results by Buslaev; Faddeev; Gesztesy, Holden, Simon, and others to the case of square integrable potentials. The relation between the number of the trace formulas and the number of integrable derivatives of the potential is also given.	en_US
dc.description.tableofcontents	Preface -- 1. Introduction -- 2. Notation -- 3. The WKB asymptotics -- 4. Some key asymptotics -- 5. The spectral shift function -- 6. Trace formulas -- References.	en_US
dc.language.iso	en_US	en_US
dc.title	The trace formulas for a half-line Schrodinger operator with long-range potentials	en_US
dc.type	Thesis	en_US
refterms.dateFOA	2020-03-05T13:42:08Z

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