Following a model recently investigated by Veneziano and Wosiek we briefly introduce Planar Quantum Mechanics (PQM). Then, we present high precision numerical results in the sectors with two and three fermions. We confirm, that the transition point in the 't Hooft's coupling constant \lambda occurs in these sectors at \lambda _c = 1, as was expected in this model.

PACS numbers: 11.15.Pg