  In recent years, a new approach to the theory of nuclear reactions leading to
a break-down of the interacting subsytems into various channels has been
developed. This approach was named the Antisymmetrized Molecular Dynamic (AMD),
and its main idea lies in the description of the nucleons by wave packets in
which the antisymmetrization effects (but not other quantum effects) are
accounted for. In the present review, the basic principles of AMD are
illustrated on the examples of simplest nuclear systems, and the results are
compared with those provided by an exact quantum-mechanical description in the
Fock-Bargmann space. The applicability region of AMD is discussed, in
particular, in the cases of systems with discrete spectrum, and a relation
between the classical AMD trajectories and the quantum distributions is
established. At the same time, a new interpretation of Brink orbitals and
Slater determinants built on them as eigenfunctions of the coordinate operator
defined in the Fock-Bargmann space is proposed. It is shown that these
functions form the cluster geometry of nuclear systems.
