Abstract
We describe the kinetic processes of gas particles interacting with a solid surface in terms of Green functions. A ladder approximation to the Bethe-Salpeter equation of a corresponding non-equilibrium diagrammatic representation is applied to calculate a time dependent transition probability. Restricting the formalism to diagonal elements of the particle Green functions the theory turns out to be equivalent to a treatment using a Master equation for occupation numbers of energy levels. Cutting the iteration after a finite number of steps leads to useful approximations for the sticking coefficient. As the main result we include off-diagonal elements to obtain a generalized kinetic description. Such a theory has to be applied in the case of overlapping energy levels. Dyson's equation is diagonalized including off-diagonal elements of the self-energies. A corresponding transformation of the Bethe-Salpeter equation allows for the calculation of a generalized time dependent transition probability which can be used to extract the complete kinetic time evolution. Within a simple model we calculate sticking coefficients and desorption rates.
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