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arxiv: math/0511006 · v1 · pith:OBQ4SIDRnew · submitted 2005-11-01 · 🧮 math.SP

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

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keywords classheisenbergmodelone-dimensionaltoeplitzactingalgebrascontains
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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 $\Z^N$. This class contains the Hamiltonian of the one-dimensional Heisenberg model.

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