The paper analyzes the rate of energy relaxation involving acoustic phonon
emission between exciton states in a double quantum well. A theoretical stu
dy is made of the part played by two mechanisms, one of which is a one-step
transition with emission of an acoustic phonon and the other is a two-step
transition, which includes elastic exciton scattering from interface nonun
iformities followed by energy relaxation within an exciton subband. The rat
e of the two-step transition in real double quantum wells is shown to be hi
gher than that of the one-step transition. As follows from calculations, th
e fast energy relaxation between exciton states is determined by the elasti
c scattering of phonons from the interface.