We study the dynamics of the spin-1/2 random transverse Ising model in the
high-temperature limit by means of the method of recurrence relations. We a
nalyze two types of disorder: a disorder on the transverse field, and a dis
order on the exchange coupling. We find that the dynamics undergoes a cross
over from a central peak behavior onto a collective mode behavior as a func
tion of the disorder. [S0163-1829(99)04937-1].