  Wave function of a localized state created by a short-range impurity in two
dimensions falls off with distance, r, from the impurity as r^{-1/2}exp(-r/a),
where "a" is the localization radius. With randomly positioned identical
impurities with low concentration, n<<a^{-2}, the level smears into a band due
to the overlap of the impurity wave functions. This is the essence of the
Lifshitz model. We demonstrate that, upon incorporation of the spin-orbit
coupling, the impurity wave functions acquire oscillating factors which,
subsequently, modify their overlap. As a result of such modification, the
density of states develops singularities at certain energies.
