  A geometrical interpretation of Schr\"odinger's kinetic and potential energy
operators is proposed, allowing for a covariant momentum space formulation of
the dynamics that is relevant for the theories with the deformation of the
momentum space structure. Some specific examples are discussed in the context
of flat space deformations and the Euclidean Snyder (spherical momentum space)
model. In this formulation the dynamics for the deformations of the flat
momentum space becomes trivial, while different versions of the Snyder model
turn out to be dynamically equivalent.
