Spin-orbit coupling of two-dimensional electrons and landau levels filling factor in fractional quantum hall effect

A mechanism for pairing and joining two-dimensional electron clusters in a strong quantizing magnetic field is proposed. The aim of this work is to obtain the dependence of the filling factor on the Landau level number N the resulting spin S and magnetic mL quantum numbers determined by the L-S bond of twodimensional electrons. A contactless method for determining the Landau level filling factor  has been developed. An interpretation of the fractional quantum Hall effect is given.