Regensburg 2002 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.11: Poster

Donnerstag, 14. März 2002, 15:30–18:00, D

Algebraic Bethe ansatz for the gl(1|2) generalized model and Lieb-Wu equations — •Frank Göhmann — Lehrstuhl Theoretische Physik I, Universität Bayreuth, 95440 Bayreuth

We solve the gl(1|2) generalized model by means of the algebraic Bethe ansatz. The resulting eigenvalue of the transfer matrix and the Bethe ansatz equations depend on three complex functions, called the parameters of the generalized model. Specifying the parameters appropriately, we obtain the Bethe ansatz equations of the supersymmetric t-J model, the Hubbard model, or of Yang’s model of electrons with delta interaction. This means that the Bethe ansatz equations of these (and many other) models can be obtained from a common algebraic source, namely from the Yang-Baxter algebra generated by the gl(1|2) invariant R-matrix.