Dresden 2009 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 6: Postersession Correlated Electrons: (General) Theory, Low-Dimensional Systems, Kondo Physics, Heavy Fermions, Quantum-Critical Phenomena

TT 6.10: Poster

Montag, 23. März 2009, 13:00–16:45, P1A

Slyanin isomorphism and a correspondence between coordinate and functional Bethe ansatz — •Andreas Osterloh — Institut für theoretische Physik, Leibniz Universität Hannover, Appelstrasse 2, 30167 Hannover, Germany.

We focus on the Sklyanin functional Bethe ansatz (FBA) from a different point of view, interpreting it as a coordinate Bethe ansatz (CBA) tailored from algebraic insight. This perspective sheds light on the Sklyanin isomorphism and establishes a direct access to the eigenstates. The isomorphism unveils the meaning of the Sklyanin Q-functions and shows that the resulting T-Q recursion relations can be extended at the best convenience to outside the Sklyanin FBA lattice.