arXiv subjects

Benoit Vallet

Publications and source records attributed to Benoit Vallet.

2 recordsLinked to original sources

arXiv2018

Modified Algebraic Bethe Ansatz: Twisted XXX Case

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)-integer spin at each site of the chain. We provide two basis to characterize the spectral problem and two families of inhomogeneous Baxter T-Q equations. The two families satisfy an inhomogeneous quantum Wronskian equation.

math-ph↗

arXiv2017

Delta-Bose Gas: the Matrix Elements of the Particle Number Operator as a Determinant

We first propose a pedestrian review of the Coordinate Bethe Ansatz for the $\delta$-Bose gas on an infinite axis. The scalar product of Bethe states, briefly reviewed, provides the first keystone to compute a compact expression for the Matrix Elements of the Particle Number Operator as conjectured by V. Terras, the main result of the following reflection.

math-ph↗