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Radiation conditions for periodic potentials

dc.contributor.advisorWitt, Ingo Prof. Dr.
dc.contributor.authorNguyen, Thai Ngoc
dc.date.accessioned2017-09-19T08:29:01Z
dc.date.available2017-09-19T08:29:01Z
dc.date.issued2017-09-19
dc.identifier.urihttp://hdl.handle.net/11858/00-1735-0000-0023-3F08-8
dc.identifier.urihttp://dx.doi.org/10.53846/goediss-6488
dc.language.isoengde
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.ddc510de
dc.titleRadiation conditions for periodic potentialsde
dc.typedoctoralThesisde
dc.contributor.refereeWitt, Ingo Prof. Dr.
dc.date.examination2017-01-27
dc.description.abstractengThe aim of the present thesis is to determine radiation conditions for higher-dimensional Schroedinger equations with periodic potentials. There is well-known result for Helmholtz equations. However to my knowledge, there have been only a few works on periodic Schroedinger equations. We employ Floquet Bloch theory to study periodic Schroedinger operators. The limiting absorption principal derives integral formulas for solutions of periodic Schroedinger equations. Then, we use the analytic perturbation theory and the stationary phase method to establish the radiation conditions.de
dc.contributor.coRefereeBauer, Wolfram PD Dr.
dc.subject.engMathematics+Mathematical physicsde
dc.subject.engMathematics+Mathematical physicsde
dc.identifier.urnurn:nbn:de:gbv:7-11858/00-1735-0000-0023-3F08-8-4
dc.affiliation.instituteFakultät für Mathematik und Informatikde
dc.subject.gokfullMathematics (PPN61756535X)de
dc.identifier.ppn1004916396 1000144968


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