Jet Physics in Pb-Pb Collisions at the LHC with the ALICE Detector In the high-multiplicity environment of central Pb--Pb collisions at the LHC jet reconstruction is limited to energies above ~50 GeV with moderate resolution ($\Delta E / E > 30\%$). Below this energies jets can only be studied through inclusive particle correlations. However, as analysis of data obtained at RHIC shows, it is likely that the most interesting observables which can reveal the presence and nature of interactions of final state partons with deconfinded partonic matter and the associated radiation of additional gluons are mainly related to the structure of the jets, i.e. the phase space distribution of particles close to the jet-axis. Examples are the longitudinal and transverse momenta relative to the jet axis. The capabilities of ALICE to measure these distributions will be demonstrated. The sensitivity for different quenching scenarios will be discussed.