RT-Symmetric Laplace Operators on Star Graphs: Real Spectrum and Self-Adjointness

How ideas of PT-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 circulant matrices: real in the case of o...

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Bibliographic Details
Main Authors: Maria Astudillo, Pavel Kurasov, Muhammad Usman
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2015/649795