in CdTe/CdMnTe QWs could be so large that it can even change the sign for different directiosn of the in-plane magnetic field [@Kusrayev1999].

Besides the exchange interactions, the carrier spins in the QWs experience also spin-orbit (SO) coupling. SO splitting of band states occurs in solids lacking a center of inversion, such as crystals with a zinc-blende structure (Dresselhaus term [@Dresselhaus1955]), as well as systems with structural inversion asymmetry (Rashba term [@Bychkov1984]), e.g., asymmetric QWs. SO coupling acts on a carrier spin as an effective magnetic field, which strength and direction depend on electron motion.

Dynamics of carrier spins and localized magnetic moments are usually considered together since they are coupled to each other either directly, through exchange scattering [@Crooker1995; @Baumberg1994; @Kneip2006], or indirectly, through the lattice (phonons) [@Kneip2006a]. The first process is quite fast with characteristic times of the order of $10^{-12}-10^{-11}$ s for electrons [@Crooker1995; @Baumberg1994] and one order of magnitude slower for holes [@Baumberg1994; @Akimov2006], as established by time-resolved Faraday rotation measurements. Spin-lattice relaxation times were found to depend strongly on Mn content, ranging from $10^{-3}$ s (for $x_{\text{Mn}}\approx0.4\%$) to $10^{-8}$ s (for $x_{\text{Mn}}\approx10\%$) [@Kneip2006a].

Spin excitations in CdMnTe QWs were probed by the Raman scattering technique 