Abstract

We start with the Laughlin's wave function in the complex two-dimensional plane, z=x+iy, and write it in the spinor representation so that the electrons are arranged according to the group theoretical representation so that it is possible to find the ground state energy for a small number of electrons, N=10. We construct another wave function which is appropriate to the quasiparticles of the quantum Hall effect. (QHE). A projection of the QHE wave function on the Laughlin's wave function with appropriate product over all of the quasiparticles produces a new wave function. In this way, we can generate a series of wave functions. We also explain the experimental data of the QHE in graphite.

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