  In our previous publications we introduced differential calculus on the
enveloping algebras U(gl(m)) similar to the usual calculus on the commutative
algebra Sym(gl(m)). The main ingredient of our calculus are quantum partial
derivatives which turn into the usual partial derivatives in the classical
limit. In the particular case m=2 we prolonged this calculus on a central
extension A of the algebra U(gl(2)). In the present paper we consider the
problem of a further extension of the quantum partial derivatives on the
skew-field of the algebra A and define the corresponding de Rham complex. As an
application of the differential calculus we suggest a method of transferring
dynamical models defined on Sym(u(2)) to the algebra U(u(2)) (we call this
procedure the quantization with noncommutative configuration space). In this
sense we quantize the Dirac monopole and find a solution of this model.
