Delta-Bose Gas: the Matrix Elements of the Particle Number Operator as a Determinant
Mathematical Physics
2017-12-13 v1 High Energy Physics - Theory
math.MP
Abstract
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 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.
Keywords
Cite
@article{arxiv.1712.04315,
title = {Delta-Bose Gas: the Matrix Elements of the Particle Number Operator as a Determinant},
author = {Benoit Vallet},
journal= {arXiv preprint arXiv:1712.04315},
year = {2017}
}