A duality between Schroedinger operators on graphs and certain Jacobi matrices
Pavel Exner
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.
Create a lesson
Related papers
Hilbert norms for graded algebras
Joachim Kupsch, Oleg G. Smolyanov
Equivariance and Imprimitivity for Discrete Hopf C*-Coactions
S. Kaliszewski, John Quigg
Distributional Asymptotic Expansions of Spectral Functions and of the Associated Green Kernels
R. Estrada, S. A. Fulling
On a class of stochastic differential equations used in quantum optics
Alberto Barchielli, Fabio Zucca
Cuntz-Krieger algebras for infinite matrices
Ruy Exel, Marcelo Laca
C*-Crossed Products by Twisted Inverse Semigroup Actions
Nandor Sieben