Algebraic Bethe ansatz for singular solutions

作者:Nepomechie Rafael I*; Wang Chunguang
来源:Journal of Physics A-Mathematical and Theoretical, 2013, 46(32): 325002.
DOI:10.1088/1751-8113/46/32/325002

摘要

The Bethe equations for the isotropic periodic spin-1/2 Heisenberg chain with N sites have solutions containing +/- i/2 that are singular: both the corresponding energy and the algebraic Bethe ansatz vector are divergent. Such solutions must be carefully regularized. We consider a regularization involving a parameter that can be determined using a generalization of the Bethe equations. These generalized Bethe equations provide a practical way of determining which singular solutions correspond to eigenvectors of the model.

  • 出版日期2013-8-16