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We present a microscopic, analytical theory describing a confined N-electrongas in two dimensions subject to an external magnetic field. The number ofelectrons N and strength of the electron-electron interaction can bearbitrarily large, and all Landau levels are included implicitly. A possibleconnection with the Integer and Fractional Quantum Hall Effects is proposed.Comment: The revised version contains minor changes to text. To be published  in J. Phys: Condens. Mat

Microscopic analytical theory of a correlated, two-dimensionalN-electron gas in a magnetic field