Phys. Rev. Lett. 95, 076402 (2005) [4 pages]Quantum Hydrodynamics, the Quantum Benjamin-Ono Equation, and the Calogero ModelReceived 12 April 2005; published 11 August 2005 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. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.076402
DOI:
10.1103/PhysRevLett.95.076402
PACS:
71.27.+a, 02.30.Ik, 05.30.−d, 71.10.Pm
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