Analytical results for quasiparticle excitations in the Fractional Quantum Hall Effect regime

In this work, quasiparticle energies for systems with N=3,4,5,6 and 7 electrons are calculated analytically in both Laughlin and composite fermions (CF) theories by considering the electron-electron interaction potential. The exact results we have obtained for the first and the second excited states agree with previous numerical results. This study shows that at this level the CF-wave function has lower energy in comparison with Laughlin wave function energy.