Quantum hydrodynamics, the quantum benjamin-ono equation, and the Calogero model.
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.
Abanov
Alexander G
AG
Department of Physics and Astronomy, Stony Brook University, 11794, USA.
Wiegmann
Paul B
PB