Schrödinger operators on graphs: symmetrization and Eulerian cycles
2015 (English)Report (Other academic)
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.
Research Reports in Mathematics, ISSN 1401-5617 ; 3
Quantum graphs, Ground state
IdentifiersURN: urn:nbn:se:su:diva-113520OAI: oai:DiVA.org:su-113520DiVA: diva2:785695
FunderSwedish Research Council, D0497301