Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
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
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-101071ISBN: 978-91-7447-872-3 (print)OAI: oai:DiVA.org:su-101071DiVA: diva2:698677
Presentation
2014-03-25, 306, Building 6, Kräftriket, Stockholm, 10:15 (English)
Opponent
Supervisors
Available from: 2014-02-28 Created: 2014-02-24 Last updated: 2014-02-28Bibliographically approved

Open Access in DiVA

fulltext(563 kB)143 downloads
File information
File name FULLTEXT01.pdfFile size 563 kBChecksum SHA-512
03bb119d16b09811cf19601b733f13d8fde7f0b77e3f52d8566705febae22be0891f5b225f9acea5615692ac10ab2810408790602e5403edcf095c18a89ada70
Type fulltextMimetype application/pdf

By organisation
Department of Mathematics
Mathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 143 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

isbn
urn-nbn

Altmetric score

isbn
urn-nbn
Total: 327 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf