In this paper, the dissipative dynamics of a system of matter particles, that from quantum point of view are Fermions, is described in the framework of a physical model. We show that dissipation consists in two-body correlations of the system with the environment particles. We obtain a quantum master equation with microscopic coefficients depending on the exactly known two-body potentials. We discuss this equation in comparison with other master equations, obtained on axiomatic grounds, or derived from a coupling with an environment of harmonic oscillators without altering the quantum conditions. Our master equation is in full accordance with the quantum-mechanical principles, with the detailed balance principle, and with other generally accepted conditions during the whole time-evolution: Pauli master equations for the diagonal elements of the density matrix, and damped Bloch-Feynman equations for the non-diagonal ones, that we call dynamical detailed balance. We show that the damping of a harmonic oscillator is not exponential as is generally accepted, but at lower energies, due to the decrease of the dipole moment, is slowing down. As applications, we study the super radiance of a semiconductor p-i-n structure with quantum dots.
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