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Quantum hydrodynamics, the quantum benjamin-ono equation, and the Calogero model | Alexander G Abanov
; Paul B Wiegmann
; | Date: |
12 Aug 2005 | Journal: | Phys Rev Lett, 95 (7), 076402 | Abstract: | 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. | Source: | PubMed, pmid16196804 | Services: | Forum | Review | Favorites |
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