We study the quantum properties of the light generated by a two-level laser inrnwhich two-level atoms available in a closed cavity are pumped to the upper levelrnby means of electron bombardment. We present a brief discussion of the numberrnand coherent states for an arbitrary commutator of the annihilation and creationrnoperators.rnMoreover, taking into account the interaction of the two-level atoms with a res-rnonant cavity mode and the damping of the cavity mode by a vacuum reservoir,rnwe obtain the equations of evolution of atomic and cavity mode operators. Thernsolutions of these equations is used to determine the Q function for the light pro-rnduced by a two-level laser. Employing this Q function, we compute the mean andrnvariance of photon number, and the quadrature variance. The two-level laser gen-rnerates coherent light when operating well above threshold and chaotic light whenrnoperating at threshold.rnOn the other hand, we obtain the Q function for the superposition of a pair ofrntwo-level laser light beams. Applying the resulting Q function, we have calculatedrnthe mean and variance of the photon number, and the quadrature variance. Thernmean photon number of the superposed light beams turns out to be a simple sumrnof the mean photon numbers of the two light beams. In addition, it is found thatrnthe variance of the photon number of the superposed light beams is four times thernvariance of the photon number of a single light beam produced by the two-levelrnlaser