Abanov Alexander G, Wiegmann Paul B
Department of Physics and Astronomy, Stony Brook University, 11794, USA.
Phys Rev Lett. 2005 Aug 12;95(7):076402. doi: 10.1103/PhysRevLett.95.076402. Epub 2005 Aug 11.
Collective field theory for the 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--the quantum integrable Benjamin-Ono equation. It renders tools of integrable systems to studies of nonlinear dynamics of 1D quantum liquids.
卡洛杰罗模型的集体场论用流体动力学模式——密度场和速度场来表示具有分数统计性质的粒子。我们表明，该模型的量子流体动力学可以写成实全纯玻色场（量子可积本杰明-奥诺方程）上的单个演化方程。它为研究一维量子液体的非线性动力学提供了可积系统的工具。
