Synthesis of a quantum tree Weyl matrix
Spectral Theory
2024-10-23 v1 Mathematical Physics
Classical Analysis and ODEs
math.MP
Abstract
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.
Cite
@article{arxiv.2308.01911,
title = {Synthesis of a quantum tree Weyl matrix},
author = {Sergei A. Avdonin and Kira V. Khmelnytskaya and Vladislav V. Kravchenko},
journal= {arXiv preprint arXiv:2308.01911},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:2302.05970