Abstract
In a recent paper (arXiv:2206.05152v4), using the exact diagonalization technique, I calculated the energy and other physical properties (electron density, pair correlation function) of a system of N≤ 7 two-dimensional electrons at the Landau level filling factor ν=1/3, and showed that the variational many-body wave function proposed for this filling factor by Laughlin is far from the true ground state. In this paper I continue to study exact properties of a small (N≤ 7) system of two-dimensional electrons lying on the lowest Landau level. I analyze the energies and electron densities of the systems with N≤ 7 electrons continuously as a function of the magnetic field in the range 1/4ν<1. The physical mechanisms of the appearance of energy gaps in many-particle electron spectra are elucidated. The results obtained clarify the true nature of the ground and excited states of the considered systems.