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Monte Carlo methods have been employed to evaluate the energy of two previously proposed trial wave functions for the quasiparticle at the =13 quantized Hall state of the two-dimensional electron system. The two wave functions have the same energy within our statistical accuracy, and are consistent with a value { \~{}}+ (13) (0. 0730. 008) {e^2}{l₎}, where l₀ is the magnetic length, and the background dielectric constant. Simulations of the quasihole state confirm previous estimates of { \~{}}- (13) 0. 026e^{2}{l₀}. We have also studied the charge distributions of the quasiparticle and quasihole states, and we have evaluated the energies of a previously proposed microscopic trial wave function for the ground state at =25, 23, and 27.
Morf et al. (Sat,) studied this question.