Change search
ReferencesLink to record
Permanent link

Direct link
Quantum Graphs and Equi-transmitting Scattering Matrices
Stockholm University, Faculty of Science, Department of Mathematics.
2014 (English)Licentiate thesis, monograph (Other academic)
Abstract [en]

The focus of this study is scattering matrices in the framework of quantum graphs,more precisely the matrices which describe equi-transmission. They are unitary andHermitian and are independent of the energies of the associated system. In the firstarticle it is shown that in the case where reflection does not occur, such matrices existonly in even dimensions. A complete description of the matrices in dimensions 2, 4,and 6 is given. In dimension 6, 60 five-parameter families are obtained. The 60 matricesyield a combinatorial bipartite graph K62. In the second article it is shown that whenreflection is allowed, the standard matching conditions matrix is equi-transmitting forany dimension n. All equi-transmitting matrices up to order 6 are described. For oddn (3 and 5), the standard matching conditions matrix is the only equi-transmitting matrix.For even n (2, 4 and 6) there exists other equi-transmitting matrices apart fromthose equivalent to the standard matching conditions. All such additional matriceshave zero trace.

Place, publisher, year, edition, pages
Stockholm: Department of Mathematics, Stockholm University , 2014. , X+98 p.
Keyword [en]
Quantum graphs, vertex scattering matrix, equi-transmitting matrices.
National Category
Research subject
URN: urn:nbn:se:su:diva-101071ISBN: 978-91-7447-872-3OAI: diva2:698677
2014-03-25, 306, Building 6, Kräftriket, Stockholm, 10:15 (English)
Available from: 2014-02-28 Created: 2014-02-24 Last updated: 2014-02-28Bibliographically approved

Open Access in DiVA

fulltext(563 kB)113 downloads
File information
File name FULLTEXT01.pdfFile size 563 kBChecksum SHA-512
Type fulltextMimetype application/pdf

By organisation
Department of Mathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 113 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: 192 hits
ReferencesLink to record
Permanent link

Direct link