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Alcaraz, Francisco Castilho; Lazo, Matheus Jatkoske
(2004)
Most of the exact solutions of quantum one-dimensional Hamiltonians are obtained thanks to the success of the Bethe ansatz on its several formulations. According to this ansatz the amplitudes of the eigenfunctions of the ...
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Lazo, Matheus Jatkoske; Alcaraz, Francisco Castilho
(2007)
We introduce and solvev a special family of integrable interacting vertex models that generalizes the well known six-vertex model. In addition to the usual nearest-neighbor interactions among the vertices, there exist extra ...
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Alcaraz, Francisco Castilho; Lazo, Matheus Jatkoske
(2006)
We present a general formulation of the matrix product ansatz for exactly integrable chains on periodic lattices. This new formulation extends the matrix product ansatz present on our previous articles (F. C. Alcaraz and ...
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Alcaraz, Francisco Castilho; Lazo, Matheus Jatkoske
(2004)
The Bethe ansatz in its several formulations is the common tool for the exact solution of one dimensional quantum Hamiltonians. This ansatz asserts that the several eigenfunctions of the Hamiltonians are given in terms of ...
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Alcaraz, Francisco Castilho; Lazo, Matheus Jatkoske
(2003)
The exact solution of the asymmetric exclusion problem and several of its generalizations is obtained by a matrix product ansatz. Due to the similarity of the master equation and the Schr¨odinger equation at imaginary times ...
