中文

A duality between Schroedinger operators on graphs and certain Jacobi matrices

funct-an 2008-02-03 v1 算子代数 量子物理

摘要

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.

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引用

@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}
}

备注

LaTeX, 11 pages, no figures