Change search
ReferencesLink to record
Permanent link

Direct link
RT-symmetric Laplace operators on star graphs: real spectrum and self-adjointness
Stockholm University, Faculty of Science, Department of Mathematics.ORCID iD: 0000-0003-3256-6968
Stockholm University, Faculty of Science, Department of Mathematics.
2015 (English)Report (Other academic)
Abstract [en]

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
Keyword [en]
Quantum Graphs, PT-symmetry, RT-symmetry, Vertex conditions
National Category
Mathematical Analysis
Research subject
URN: urn:nbn:se:su:diva-119852OAI: diva2:848980
Quantum Graphs
Swedish Research Council, D0497301
Available from: 2015-08-26 Created: 2015-08-26 Last updated: 2015-10-29Bibliographically approved

Open Access in DiVA

fulltext(321 kB)41 downloads
File information
File name FULLTEXT01.pdfFile size 321 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Search in DiVA

By author/editor
Kurasov, PavelUsman, Muhammad
By organisation
Department of Mathematics
Mathematical Analysis

Search outside of DiVA

GoogleGoogle Scholar
Total: 41 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 44 hits
ReferencesLink to record
Permanent link

Direct link