RT-symmetric Laplace operators on star graphs: real spectrum and self-adjointness
2015 (English)Report (Other academic)
In the current article it is analyzed how ideas of PT-symmetricquantum mechanics can be applied to quantum graphs, in particular tothe star graph. The class of rotationally-symmetric vertex conditionsis analyzed. It is shown that all such conditions can effectively be described bycirculant matrices: real in the case of odd number of edges and complex having particular block structure in the even case. Spectral properties of thecorresponding operators are discussed.
Place, publisher, year, edition, pages
2015. , 18 p.
Research Reports in Mathematics, ISSN 1401-5617 ; 6
Quantum Graphs, PT-symmetry, RT-symmetry, Vertex conditions
Research subject Mathematics
IdentifiersURN: urn:nbn:se:su:diva-119852OAI: oai:DiVA.org:su-119852DiVA: diva2:848980
FunderSwedish Research Council, D0497301