RJ -Symmetric Laplace Operators on Star Graphs: Real Spectrum and Self-Adjointness
Number of Authors: 3
2015 (English)In: Advances in Mathematical Physics, ISSN 1687-9120, E-ISSN 1687-9139, 649795Article in journal (Refereed) Published
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.
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IdentifiersURN: urn:nbn:se:su:diva-126864DOI: 10.1155/2015/649795ISI: 000367978000001OAI: oai:DiVA.org:su-126864DiVA: diva2:905809