  A covariant formulation for the Newton-Hooke particle is presented by
following an algorithm developed by us \cite{BMM1, BMM2, BMM3}. It naturally
leads to a coupling with the Newton-Cartan geometry. From this result we
provide an understanding of gravitation in a Newtonian geometric background.
Using Dirac's constrained analysis a canonical formulation for the Newton-Hooke
covariant action is done in both gauge independent and gauge fixed approaches.
While the former helps in identifying the various symmetries of the model, the
latter is able to define the physical variables. From this analysis a path to
canonical quantisation is traced and the Schroedinger equation is derived which
is shown to satisfy various consistency checks. Some consequences of this
equation are briefly mentioned.
