Here, some prospects for future studies in the field of electron and nuclear spin dynamics are outlined. In contrast to previous chapters where the electron interaction with multitude of nuclei was discussed, in Chapter 8 particular emphasis is put on a situation where hyperfine interaction is so strong that it leads to a qualitative rear rangement of the energy spectrum resulting in coherent excitation transfer between electron and nucleus. The strong coupling between the spin of the charge carrier and of the nucleus is realized; e.g., in the case of deep impurity centers in semiconductors or in isotopically purified systems. We also discuss the effect of the nuclear spin polaron; that is, the ordered state, where the carrier spin orientation results in alignment of spins of the nucleus interacting with the electron or hole. Such problems have been briefly discussed in the literature but, in our opinion, call for in-depth investigation.