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RJ -Symmetric Laplace Operators on Star Graphs: Real Spectrum and Self-Adjointness
Stockholm University, Faculty of Science, Department of Mathematics.
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 3
2015 (English)In: Advances in Mathematical Physics, ISSN 1687-9120, E-ISSN 1687-9139, 649795Article in journal (Refereed) Published
Abstract [en]

How ideas of PJ -symmetric quantum mechanics can be applied to quantum graphs is analyzed, in particular to the star graph. The class of rotationally symmetric vertex conditions is analyzed. It is shown that all such conditions can effectively be described by circulantmatrices: real in the case of odd number of edges and complex having particular block structure in the even case. Spectral properties of the corresponding operators are discussed.

Place, publisher, year, edition, pages
2015. 649795
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-126864DOI: 10.1155/2015/649795ISI: 000367978000001OAI: oai:DiVA.org:su-126864DiVA: diva2:905809
Available from: 2016-02-23 Created: 2016-02-16 Last updated: 2016-02-23Bibliographically approved

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