Show simple item record

dc.contributor.authorBastille, Odile R.
dc.date.accessioned2020-10-23T21:21:11Z
dc.date.available2020-10-23T21:21:11Z
dc.date.issued2011-12
dc.identifier.urihttp://hdl.handle.net/11122/11380
dc.descriptionThesis (M.S.) University of Alaska Fairbanks, 2011en_US
dc.description.tableofcontents1. Introduction -- 1.1. Notation -- 2. The direct scattering problem for the Schrödinger equation -- 2.1. Description of the spectrum of the Schrödinger equation -- 2.2. Weyl solutions of the Schrödinger equation -- 2.3. Scattering solutions for the potentials q₊, q -- 3. The Titchmarsh-Weyl m-function -- 4. Properties of the transmission and reflection coefficents -- 5. Inverse scattering procedure and trace class integral operators -- 5.1. Classical Faddeev-Marchenko inverse scattering -- 5.2. The Marchenko kernal for a potential supported on IR_ -- 5.3. A trace class operator -- 6. The determinant formula -- 6.1. The main result -- 6.2. Conclusions -- Bibliography.en_US
dc.language.isoen_USen_US
dc.subjectinverse scattering transformen_US
dc.subjectscatteringen_US
dc.subjectmathematicsen_US
dc.subjectSchrodinger equationen_US
dc.titleThe determinant formula in the inverse scattering procedure for steplike potentialsen_US
dc.typeThesisen_US
dc.type.degreemsen_US
dc.identifier.departmentDepartment of Mathematics and Statisticsen_US
refterms.dateFOA2020-10-23T21:21:13Z


Files in this item

Thumbnail
Name:
Bastille_O_2011.pdf
Size:
1.374Mb
Format:
PDF

This item appears in the following Collection(s)

Show simple item record