Journal
JOURNAL OF MATHEMATICAL PHYSICS
Volume 45, Issue 6, Pages 2134-2152Publisher
AMER INST PHYSICS
DOI: 10.1063/1.1705718
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We consider a general weak bounded finite range perturbation of a general free quantum spin Hamiltonian on a lattice. We prove that if the free Hamiltonian has a nondegenerate ground state and a spectral gap, then the perturbation also has a ground state, and estimate the localization of the spectrum in the corresponding ground state representation. (C) 2004 American Institute of Physics.
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