A theoretical analysis of single electron charging processes in a quan
tum dot with under a perpendicular magnetic field is presented in a br
oad range of the number of electrons. Exact diagonalizations and an un
restricted Hartree-Fock approximation have been used in the low and in
termediate field regime to study the addition spectra and the omega-->
0 spectral weight function, which are the magnitudes directly connecte
d with single electron capacitance spectroscopy and tunneling experime
nts. In the high held regime the quantum dot undergoes a set of intege
r charge edge excitations. The results of an exact calculation suggest
a simple approach for the study of these excitations.