3 papers
math-ph2018
Scalar product of twisted XXX modified Bethe vectors
S. Belliard, N. A. Slavnov, B. Vallet
We consider closed XXX spin chains with broken total spin symmetry within the framework of the modified algebraic Bethe ansatz. We study multiple actions of the modified mon…
math-ph2018
Modified Algebraic Bethe Ansatz: Twisted XXX Case
Samuel Belliard, Nikita A. Slavnov, Benoit Vallet
We prove the modified algebraic Bethe Ansatz characterization of the spectral problem for the closed XXX Heisenberg spin chain with an arbitrary twist and arbitrary positive (half)…
math-ph2017
Delta-Bose Gas: the Matrix Elements of the Particle Number Operator as a Determinant
Benoit Vallet
We first propose a pedestrian review of the Coordinate Bethe Ansatz for the -Bose gas on an infinite axis. The scalar product of Bethe states, briefly reviewed, provides the fir…