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The Hydrodynamical Limit of Quantum Hall system

arXiv:cond-mat/0107270 · doi:10.1142/S0217979201006458

Abstract

We study the current algebra of FQHE systems in the hydrodynamical limit of small amplitude, long-wavelength fluctuations. We show that the algebra simplifies considerably in this limit. The hamiltonian is expressed in a current-current form and the operators creating inter-Landau level and lowest Landau level collective excitations are identified.

Revtex, 16 pages