  The studies of quantum states and optics in n- and p-type heterojunctions
with lateral surface quantum dot (antidots) superlattice and in the presence of
perpendicular magnetic field are performed. The Azbel' - Hofstadter problem is
solved for electrons in conduction band and for holes in valence band described
by 4x4 Luttinger Hamiltonian. Under the conditions of non-interactive Landau
levels the set of magnetic subbands is obtained for separate electron and hole
levels in wide interval of magnetic fields. The influence of spin-orbit
interaction onto wavefunctions and energy spectrum in hole magnetic subbands
has been investigated. The probabilities of transitions between quantum states
in magnetic subbands and monolayer of impurities located inside heterojunction
are calculated for two cases: transitions between electron states and acceptors
and between hole states and donors. The set of parameters (superlattice
periods, amplitude of periodic potential and magntitude of magnetic field,
etc.) required for experimental observation of magnetic subbands is found.
