Low-Lying Excitations of Quantum Hall Droplets

We present a circular representation of charge density excitations in quantum Hall droplets at filling factor 1. A novel set of operators generates magnetoexcitons with total and center-of-mass angular momentum both well defined. The accuracy of this description is shown by the high overlap of the magnetoexcitons with the exact eigenstates of a quantum dot in a magnetic field obtained from numerical calculations up to 20 electrons. From such magnetoexcitons we get a good understanding of total energies and spectral functions.