Spectral functions of quantum dots in the integer and fractional quantum Hall regime

The one- and two-particle spectral functions of quantum Hall droplets are studied for filling factors $2>~\nu >~1/3$ using exact diagonalization techniques for up to ten electrons. The spectral functions describe the electron addition and subtraction spectra, coherent resonant tunneling, and Raman-scattering cross section. They reflect the magnetic-field-induced spin and charge transitions in the ground state of quantum Hall droplets.