Advanced Search

Show simple item record

dc.contributor.authorVeliev, Oktay A.
dc.date.accessioned2015-03-13T08:45:07Z
dc.date.available2015-03-13T08:45:07Z
dc.date.issued2008-09-12
dc.identifier.citationVELİEV, O. (2008). On the constructive determination of spectral invariants of the periodic Schrodinger operator with smooth potentials. Journal of Physics A: Mathematical and Theoretical, 41 (36). https://dx.doi.org/10.1088/1751-8113/41/36/365206.en_US
dc.identifier.issn1751-8113
dc.identifier.other000258386100017 (WOS)
dc.identifier.urihttps://dx.doi.org/10.1088/1751-8113/41/36/365206
dc.identifier.urihttps://hdl.handle.net/11376/1111
dc.description.abstractIn this paper, we develop the asymptotic formulae, obtained in my previous papers, for the band functions and the Bloch functions of the Schrodinger operator with the smooth periodic potentials. Then using these formulae, we determine constructively a family of spectral invariants of this operator from the given band functions. Some of these invariants generalize the well-known invariants and others are entirely new. The new invariants are explicitly expressed by Fourier coefficients of the potential which present the possibility of determining the potential constructively by using the band functions as input data.en_US
dc.language.isoengen_US
dc.publisherIOP Publishingen_US
dc.identifier.doi10.1088/1751-8113/41/36/365206en_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAsymptotic Formulasen_US
dc.subjectEigenvaluesen_US
dc.titleOn the constructive determination of spectral invariants of the periodic Schrodinger operator with smooth potentialsen_US
dc.typearticleen_US
dc.relation.journalJournal of Physics A: Mathematical and Theoreticalen_US
dc.departmentDoğuş Üniversitesi, Fen Edebiyat Fakültesi, Fizik Bölümüen_US
dc.authoridTR55504en_US
dc.identifier.volume41en_US
dc.identifier.issue36en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.institutionauthorVeliev, Oktay A.


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record