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On the ground state for quantum graphs
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 12019 (English)In: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 109, no 11, p. 2491-2512Article in journal (Refereed) Published
Abstract [en]

Ground-state eigenfunctions of Schrodinger operators can often be chosen positive. We analyse to which extent this is true for quantum graphs-differential operators on metric graphs. It is shown that the theorem holds in the case of generalised delta couplings at the vertices-a new class of vertex conditions introduced in the paper. It is shown that this class of vertex conditions is optimal. Relations to positivity preserving and positivity improving semigroups are clarified.

Place, publisher, year, edition, pages
2019. Vol. 109, no 11, p. 2491-2512
Keywords [en]
Quantum graphs, Positivity preserving semigroups, Ground state
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-175946DOI: 10.1007/s11005-019-01192-wISI: 000490945600006OAI: oai:DiVA.org:su-175946DiVA, id: diva2:1369885
Available from: 2019-11-13 Created: 2019-11-13 Last updated: 2019-11-13Bibliographically approved

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