Abstract
A kinetic equation in operator form for the one body density matrix is derived by means of a convenient truncation of the quantal Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy. Using projection techniques in a procedure similar to the derivation of the master equation, the evolution of the diagonal and the nondiagonal terms of the density matrix can be disentangled. A quantal, non-Hermitian master equation for the diagonal part is extracted and it is seen that corrections to the collision frequency or to the relaxation time arise as a consequence of the creation and destruction of incoherent events.NUCLEAR REACTIONS Reduced one body density matrix, BBGKY hierarchy, quantal kinetic equation, coupling between probabilistic and interference matrix element, collision frequency and relaxation time, dynamical quantal corrections.
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