A duality  between Schrödinger operators   on graphs and certain Jacobi matrices

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

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by Pavel Exner

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@MISC{Exner95aduality,
    author = {Pavel Exner},
    title = {A duality between Schrödinger operators on graphs and certain Jacobi matrices},
    year = {1995}
}

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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.

Citations

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