Quantum Hydrodynamics, Quantum Benjamin-Ono Equation, and Calogero Model
强关联电子
2009-11-11 v1 高能物理 - 理论
数学物理
math.MP
可精确求解与可积系统
摘要
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.
引用
@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}
}
备注
5 pages, 1 figure