The most general physical boundary $S$-matrix for the open XXZ spin chain in the non-critical regime ($\cosh (\eta)>1$) is derived starting from the bare Bethe ansazt equations. The boundary $S$-matrix as expected is expressed in terms of $\Gamma_q$-functions. In the isotropic limit corresponding results for the open XXX chain are also reproduced.
|Journal||Journal of Physics A: Mathematical and Theoretical|
|Publication status||Published - 16 May 2008|