Article révisé par les pairs
Résumé : The kinetic equation for an inhomogeneous dilute gas of quantum spinless particles obeying Boltzmann statistics is derived from a general method based on the correlation patterns. The equation obtained for the one-body Wigner distribution function takes into account the full two-body collision contributions, leads to the usual conservation laws for density, momentum and energy and can thus be used to derive density corrections to transport coefficients. Its generalization to more general systems can be obtained in a straightforward way by using the same formalism. © 1990.