  We discuss the effects that a noncommutative geometry induced by a Drinfeld
twist has on physical theories. We systematically deform all products and
symmetries of the theory. We discuss noncommutative classical mechanics, in
particular its deformed Poisson bracket and hence time evolution and
symmetries. The twisting is then extended to classical fields, and then to the
main interest of this work: quantum fields. This leads to a geometric
formulation of quantization on noncommutative spacetime, i.e. we establish a
noncommutative correspondence principle from *-Poisson brackets to
*-commutators. In particular commutation relations among creation and
annihilation operators are deduced.
