Surface light-induced drift (SLID) is known to give rise to an extremely se
nsitive method of studying the state-specificity of gas-surface interaction
s. SLID occurs under velocity-selective laser excitation of a resonant gas
whenever the scattering, trapping, or chemisorption by the cell walls are s
tate dependent. In this brief report we derive and solve kinetic equations
to analyze SLID arising in the case of inelastic scattering. We analyze bot
h (a) the case when the coefficients describing the inelasticity of gas-sur
face quasi-specular scattering are state dependent, but are not dependent u
pon the velocity of the impinging particle, and (b) the case of velocity-de
pendent coefficients. Finally, we briefly outline the way to use this appro
ach to interpret the results of possible experiments on SLID for atoms inte
racting with simple surfaces.