The relation between the Calogero model, namely, a system of  N identical particles in one dimension with inverse-square interactions, and the three classical types of quantum-mechanical matrix models is well-known. In this talk I explore various generalized Calogero models and identify the quantum mechanical matrix model they correspond to at special values of their couplings. I also present and briefly discuss the collective field formulation of these generalized Calogero models.

PACS numbers: 03.65.Sq, 05.45.Yv, 11.10.Kk, 11.15.Pg