Title: Method of computation of energies in the fractional quantum Hall effect regime
Author(s):

	M.A. Ammar (Environment Department, University of Medea, 26000 Media, Algeria) ,
	Z. Bentalha (Theoretical Physics Laboratory, University of Tlemcen, B.P. 230, 13000 Tlemcen, Algeria) ,
	S. Bekhechi (Theoretical Physics Laboratory, University of Tlemcen, B.P. 230, 13000 Tlemcen, Algeria)

In a previous work, we reported exact results of energies of the ground state in the fractional quantum Hall effect (FQHE) regime for systems with up to N_e=6 electrons at the filling factor ν=1/3 by using the method of complex polar coordinates. In this work, we display interesting computational details of the previous calculation and extend the calculation to N_e=7 electrons at ν=1/3. Moreover, similar exact results are derived at the filling ν=1/5 for systems with up to N_e=6 electrons. The results that we obtained by analytical calculation are in good agreement with their analogues ones derived by the method of Monte Carlo in a precedent work.

Key words: quantum Hall effect, 2D electron gas, many-body wave function, strongly correlated system
PACS: 73.43.-f, 73.43.Cd, 71.10.Ca, 02.70.Wz

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