A duality between Schroedinger operators on graphs and certain Jacobi matrices
funct-an
2008-02-03 v1 Operator Algebras
Quantum Physics
Abstract
The known correspondence between the Kronig-Penney model and certain Jacobi matrices is extended to a wide class of Schroedinger operators on graphs. Examples include rectangular lattices with and without a magnetic field, or comb-shaped graphs leading to a Maryland-type model.
Keywords
Cite
@article{arxiv.funct-an/9509002,
title = {A duality between Schroedinger operators on graphs and certain Jacobi matrices},
author = {Pavel Exner},
journal= {arXiv preprint arXiv:funct-an/9509002},
year = {2008}
}
Comments
LaTeX, 11 pages, no figures