Abstract:
The Bogoliubov hierarchy of kinetic equations for infinite quantum system of particles
distributed in space with mean density $1/v$ and interacting with the model operator
of Bardeen–Cooper–Schrieffer, is treated as single abstract equation in a certain
countably normed space $b^v$ of sequences of integral operators. The unique solution of
the Gauchy problem with arbitrary initial conditions from $b^v$ is obtained, stationary
solutions of the equation are constructed and the class of initial conditions is pointed
out which approach the stationary solutions in the process of the evolution.
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