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Toeplitz algebras and spectral results for the one-dimensional Heisenberg model

Spectral Theory 2015-06-26 v1

Abstract

We determine the structure of the spectrum and obtain non-propagation estimates for a class of Toeplitz operators acting on a subset of the lattice ZN\Z^N. This class contains the Hamiltonian of the one-dimensional Heisenberg model.

Keywords

Cite

@article{arxiv.math/0511006,
  title  = {Toeplitz algebras and spectral results for the one-dimensional Heisenberg model},
  author = {Mondher Damak and Marius Mantoiu and Rafael Tiedra de Aldecoa},
  journal= {arXiv preprint arXiv:math/0511006},
  year   = {2015}
}

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13 pages