The ground state energy and the optical absorption spectra are obtained for
N electrons interacting with each other and with the longitudinal optical
(LO) phonons at an arbitrary electron-phonon coupling strength in a parabol
ic confinement potential. In order to account for the fermion statistics, w
e use the path integral formalism for identical particles. The approach is
at present limited to closed shells. In the case of strong electron-phonon
interaction, a ferromagnetic-to-nonmagnetic transition is shown to occur be
tween states with different total spin of the system. This transition is re
vealed through the optical absorption spectra and should be experimentally
observable. When the confinement frequency parameter is in resonance with t
he LO phonon frequency, strong mixing between zero-phonon and one-phonon st
ates is manifested in the absorption spectrum. (C) 2000 Elsevier Science Lt
d. All rights reserved.