We study the effect of finite thickness of the quasi-two-dimensional l
ayer on the energy levels containing three electrons by using the meth
od of few-body physics. As the thickness increases, the magic number a
ngular momentum states of the three-electron system (i.e., the states
of fractional quantum Hall effect) will be destrolled. It is obvious t
hat the dynamics of fractional quantum Hall effect is controlled by th
e short-ranged component of the electron-electron repulsive interactio
ns. (C) 1998 Elsevier Science B.V. All rights reserved.