Quantum hydrodynamics of interacting electrons with a parabolic single-particle spectrum is studied using the Calogero-Sutherland model. The effective action and modulation equations, describing the evolution of periodic excitations in the fluid, are derived. Applications to the problem of a single-electron tunneling into the FQHE edge state are discussed.
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This work was motivated by discussions with I. Gruzberg and P.B. Wiegmann, from whom I learned various mathematical ideas used in this paper. I benefited from discussions with A. Kamenev, D. Maslov, A. Mirlin, M. Stepanov, and M. Stone. I am grateful to the Memorial University of Newfoundland, where a large part of this work was completed, for its hospitality. My research was supported by National Science Foundation Division of Materials Research (NSF-DMR, project no. 0308377).