## A duality between Schrödinger operators on graphs and certain Jacobi matrices (1995)

by
Pavel Exner

Citations: | 23 - 5 self |

### BibTeX

@MISC{Exner95aduality,

author = {Pavel Exner},

title = {A duality between Schrödinger operators on graphs and certain Jacobi matrices},

year = {1995}

}

### Years of Citing Articles

### OpenURL

### Abstract

The known correspondence between the Kronig–Penney model and certain Jacobi matrices is extended to a wide class of Schrödinger operators on graphs. Examples include rectangular lattices with and without a magnetic field, or comb–shaped graphs leading to a Maryland–type model.