Article ID Journal Published Year Pages File Type
1843470 Nuclear Physics B 2009 15 Pages PDF
Abstract
Using a Jacobi-Trudi-type identity, we show that the scalar product of a general state and a Bethe eigenstate in a finite-length XXZ spin-12 chain is (a restriction of) a KP τ function. This leads to a correspondence between the eigenstates and points on Sato's Grassmannian. Each of these points is a function of the rapidities of the corresponding eigenstate, the inhomogeneity variables of the spin chain and the crossing parameter.
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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