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Scalar fields on star graphs
Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
2011 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

 A star graph consists of a vertex to which a set of edges are connected. Such an object can be used to, among other things, model the electromagnetic properties of quantum wires. A scalar field theory is constructed on the star graph and its properties are investigated. It turns out that there exist Kirchoff's rules for the conserved charges in the system leading to restrictions of the possible type of boundary conditions at the vertex. Scale invariant boundary conditions are investigated in detail.

Abstract [sv]

En stjärngraf består av en nod på vilken vilken ett antal kanter är anslutna. Ett sådant objekt kan bland annat användas till att modellera de elektromagnetiska egenskaperna hos kvanttrådar. En skalärfältsteori konstrueras på stjärngrafen och dess egenskaper undersöks. Det visar sig att det exisisterar en typ av Kirchoffs lagar för de konserverade laddningarna i systemet. Detta leder till restriktioner på vilka randvillkor som är möjliga vid noden. Skalinvarianta randvillkor undersöks i detalj.

Place, publisher, year, edition, pages
2011. , 25 p.
Keyword [en]
quantum graphs, quantum field theory
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kau:diva-9139Local ID: FYS C-2OAI: oai:DiVA.org:kau-9139DiVA: diva2:479156
Subject / course
Physics
Uppsok
Physics, Chemistry, Mathematics
Supervisors
Examiners
Available from: 2012-01-19 Created: 2012-01-10 Last updated: 2012-06-14Bibliographically approved

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • ieee
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  • de-DE
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  • en-US
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  • nn-NO
  • nn-NB
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  • Other locale
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Output format
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