  Recently we have constructed a completely supersymmetric nonlinear action
possessing the properties expected from multiple D0-brane system. Its
quantization should result in an interesting supersymmetric field theory in the
(super)space with additional matrix coordinates which can provide an important
insights in the study of String Theory. As a first stage toward this aim, in
this paper we construct the Hamiltonian mechanics and perform covariant
quantization of the simplest three dimensional counterpart of the ten
dimensional multiple D0-brane model. We obtain a supersymmetric system of
equations in super-spacetime enlarged by bosonic and fermionic matrix
coordinates which appears as a result of such quantization and discuss some of
its properties.
