A New Proposal for a Quasi-Electron Trial Wave Function for the FQHE on a Disk

@article{Kasner1992ANP,
  title={A New Proposal for a Quasi-Electron Trial Wave Function for the FQHE on a Disk},
  author={M. Kasner and W. Apel},
  journal={EPL},
  year={1992},
  volume={20},
  pages={715-720}
}
In this letter, we propose a new quasi-electron trial wave function for N interacting electrons in two dimensions moving in a strong magnetic field in a disk geometry. Requiring that the trial wave function exhibits the correct filling factor of a quasi-electron wave function, we obtain N + 1 angular-momentum eigenfunctions. The expectation values of the energy are calculated and compared with the data of an exact numerical diagonalization. 
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TLDR
The expectation values of the energy and the pair angular momenta distribution are calculated at filling factor 1/3 and compared with the data of an exact numerical diagonalization for up to 10 electrons with Coulomb and truncated quasipotential interaction.
Electrons in a strong magnetic field on a disk
The problem of interacting electrons moving under the influence of a strong magnetic field in two dimensions on a finite disk is reconsidered. First, the results of exact diagonalizations for up to N
LAUGHLIN'S WAVE FUNCTION AND ANGULAR MOMENTUM
In 1983, Laughlin reported a wave function which while using the first-principles kinetic energy and Coulomb interactions fractionalizes the charge of the electron so that a charge such as 1/3

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