Abstract
The normal mode spectra of two-dimensional finite clusters of charged
particles (-e) confined by a Coulomb potential resulting from a
displaced positive charge Ze are obtained. This is a classical
two-dimensional model system for atoms. We obtain the frequencies of the
normal modes as a function of the confinement charge Z and the number of
particles N. The analysis of the lowest normal mode frequency reveals a
good agreement with the experimental results obtained in a system with
screened interaction between charged particles. The dependence of the
normal mode spectra as a function of a perpendicular magnetic field is
also discussed and we found that the shearlike character of the modes is
enhanced in the presence of the magnetic field. For large values of the
magnetic fields the normal modes fall into two bands, a low frequency
band with frequency similar to1/omega(c) and a high frequency band with
frequency similar toomega(c).
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