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Schrödinger operators on graphs: symmetrization and Eulerian cycles
Stockholm University, Faculty of Science, Department of Mathematics. (Analys)ORCID iD: 0000-0003-3256-6968
Stockholm University, Faculty of Science, Department of Mathematics.
Stockholm University, Faculty of Science, Department of Mathematics.
2015 (English)Report (Other academic)
Abstract [en]

Spectral properties of the Schrödinger operator on a finite compact metric graph with delta-type vertex conditions are discussed. Explicit estimates for the lowest eigenvalue (ground state) are obtained using two different methods:Eulerian cycle and symmetrization techniques. In the case of positive interactions even estimates for higher eigenvalues are derived.

Place, publisher, year, edition, pages
2015. , 16 p.
Series
Research Reports in Mathematics, ISSN 1401-5617 ; 3
Keyword [en]
Quantum graphs, Ground state
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:su:diva-113520OAI: oai:DiVA.org:su-113520DiVA: diva2:785695
Funder
Swedish Research Council, D0497301
Available from: 2015-02-03 Created: 2015-02-03 Last updated: 2015-02-03Bibliographically approved

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fulltext(373 kB)431 downloads
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Kurasov, PavelKarreskog, GustavTrygg Kupersmidt, Isak
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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf