Synthesis of a quantum tree Weyl matrix

Synthesis of a quantum tree Weyl matrix

A method for successive synthesis of a Weyl matrix (or Dirichlet-to-Neumann map) of an arbitrary quantum tree is proposed. It allows one, starting from one boundary edge, to compute the Weyl matrix of a whole quantum graph by adding on new edges and solving elementary systems of linear algebraic equ...

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Veröffentlicht in:Boletín de la Sociedad Matemática Mexicana 2023-11, Vol.29 (3), Article 82
Hauptverfasser: Avdonin, Sergei A., Khmelnytskaya, Kira V., Kravchenko, Vladislav V.
Format: Artikel
Sprache:eng
Schlagworte:
Dirichlet problem
Graph theory
Linear algebra
Mathematics
Mathematics and Statistics
Original Article
Synthesis
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Beschreibung
Zusammenfassung:A method for successive synthesis of a Weyl matrix (or Dirichlet-to-Neumann map) of an arbitrary quantum tree is proposed. It allows one, starting from one boundary edge, to compute the Weyl matrix of a whole quantum graph by adding on new edges and solving elementary systems of linear algebraic equations in each step.
ISSN:1405-213X
2296-4495
DOI:10.1007/s40590-023-00561-9