Neutron spectrometers having the capability of resolving the energy of the slow neutron with an error of less than 1^-7 ev have been constructed within recent years, making it possible to measure dynamical processes of correspondingly finer energies. This thesis investigates coupled electronic-nuclear spin waves which are coupled by the hyperfine interaction. The differential cross section and scattered state polarization for the scattering of thermal neutrons from systems described by the Suhl-Nakamura Hamiltonian are developed in the Van Hove correlation function formalism; the relevant correlation functions for the Suhl-Nakamura system are computed.1 The implications of these calculations for the feasibility of detecting nuclear spin wave modes in neutron scattering experiments are discussed.