Quantum Boltzmann equation for atomic hydrogen

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Abstract
The quantum Boltzmann equation governing the evolution of the one-body internal density matrix of an atomic hydrogen (or alkali) gas is established. Indistinguishability of both nuclei and electrons explains the presence in the collision term of a large number (eleven) of « exchange cross sections ». The different collision terms fall into two categories : these which contribute to the damping of perturbations (similar to the usual collision term in the classical regime) and those which are Hamiltonian like and originate from the « identical spin rotation effect ». Due to those numerous exchange terms, all transport properties in atomic hydrogen are very sensitive to the internal state of the gas