Quantum Hydrodynamics, Quantum Benjamin-Ono Equation, and Calogero Model
Strongly Correlated Electrons
2009-11-11 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
Collective field theory for Calogero model represents particles with fractional statistics in terms of hydrodynamic modes -- density and velocity fields. We show that the quantum hydrodynamics of this model can be written as a single evolution equation on a real holomorphic Bose field -- quantum integrable Benjamin-Ono equation. It renders tools of integrable systems to studies of nonlinear dynamics of 1D quantum liquids.
Cite
@article{arxiv.cond-mat/0504041,
title = {Quantum Hydrodynamics, Quantum Benjamin-Ono Equation, and Calogero Model},
author = {Alexander G. Abanov and Paul B. Wiegmann},
journal= {arXiv preprint arXiv:cond-mat/0504041},
year = {2009}
}
Comments
5 pages, 1 figure