  We present a microscopic theory of Raman scattering by a two-dimensional
Fermi liquid (FL) with Rashba and Dresselhaus types of spin-orbit coupling, and
subject to an in-plane magnetic field (B). In the long-wavelength limit, the
Raman spectrum probes the collective modes of such a FL: the chiral spin waves.
The characteristic features of these modes are a linear-in-q term in the
dispersion and the dependence of the mode frequency on the directions of both q
and B. All of these features have been observed in recent Raman experiments on
CdTe quantum wells.
