Lieb-Thirring inequalities for generalized magnetic fields
2016 (English)In: Bulletin of Mathematical Sciences, ISSN 1664-3607, E-ISSN 1664-3615, Vol. 6, no 1, 1-14 p.Article in journal (Refereed) PublishedText
Following an approach by Exner et al. (Commun Math Phys 26:531-541, 2014), we establish Lieb-Thirring inequalities for general self-adjoint and second-degree differential operators with matrix valued potentials acting in one space-dimension. These include and generalize the magnetic Schrodinger operator. Three different settings are considered, with functions defined on the whole real line, a semi-axis and an interval, respectively, leading to different types of bounds. An interpretation of the result in terms of Schrodinger operators acting on star graphs and graphs with two vertices is also given.
Place, publisher, year, edition, pages
2016. Vol. 6, no 1, 1-14 p.
Schrodinger operators, Lieb-Thirring inequalities, Commutation method
IdentifiersURN: urn:nbn:se:kth:diva-185343DOI: 10.1007/s13373-015-0067-9ISI: 000372286800001ScopusID: 2-s2.0-84960970634OAI: oai:DiVA.org:kth-185343DiVA: diva2:921448
QC 201604202016-04-202016-04-182016-04-20Bibliographically approved