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

Document Type

Article

Publication Date

8-23-2002

Abstract

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.

Publication Source (Journal or Book title)

Journal of Physics A Mathematical and General

First Page

7173

Last Page

7185

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