Algebraic solutions of an sl-boson system in the U(2l+1)<-> O(2l+2) transitional region

作者:Pan F*; Zhang X; Draayer JP
来源:Journal of Physics A: Mathematical and General , 2002, 35(33): 7173-7185.
DOI:10.1088/0305-4470/35/33/313

摘要

Exact eigen-energies and the corresponding wavefunctions of an interacting sl-boson system in a U(2l+1) <> O(2l + 2) transitional region are obtained by using the Bethe ansatz within an infinite-dimensional Lie algebra. A numerical algorithm for solving the Bethe ansatz equations is introduced. As an example, spectra for the U(3) <> O(4) transitional region of the U(4) Vibron model are analysed.