Calculos analiticos exatos em sistemas finitos

AUTOR(ES)

Luis Prado Junior

DATA DE PUBLICAÇÃO

1994

RESUMO

The ground state of spin-1/2 quantum finite systems is investigated in exact analytical way. The examples included correspond to cases in one, two and three dimensions, all of them described by the antiferromagnetic Heisenberg Hamiltonian. The manifold of total spin S, that contains the ground state, is determined throughout the energy ordering theorem of Lieb and Mattis, and its symmetry is studied using the theorem of Oguchi and Kitatani. The high dimensionality of the subspace that contains the ground state is reduced exploring the symmetry properties of the system. This is done in a systematic way using group theory techniques and the permutation operators. The ground states, obtained in exact form, are used to calculate physical quantities like energy and correlations of spins

ASSUNTO(S)

sistemas hamiltonianos spin nuclear

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