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- W1999339970 abstract "We develop a general formulation of quantum mechanics within the lowest Landau level in two dimensions. Making use of Bargmann's Hilbert space of analytic functions we obtain a simple algorithm for the projection of any quantum operator onto the subspace of the lowest Landau level. With this scheme we obtain the Schrodinger equation in both real-space and coherent-state representations. A Gaussian interaction among the particles leads to a particularly simple form in which the eigenvalue condition reduces to a purely algebraic property of the polynomial wave function. Finally, we formulate path integration within the lowest Landau level using the coherent-state representation. The techniques developed here should prove to be convenient for the study of the anomalous quantum Hall effect and other phenomena involving electron-electron interactions." @default.
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- W1999339970 date "1984-05-15" @default.
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- W1999339970 title "Formalism for the quantum Hall effect: Hilbert space of analytic functions" @default.
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- W1999339970 doi "https://doi.org/10.1103/physrevb.29.5617" @default.
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