Abstract
A study has been made of three-wave interaction and nonlinear wave-particle scattering for waves propagating parallel to the external magnetic field using quantum techniques. The three-wave interaction refers to longitudinal, transverse, and Alfvén or whistler modes. The waves taking part in the nonlinear wave-particle scattering are transverse, Alfvén, and whistlers. Kinetic equations containing these effects have been derived. It is established the three-wave interaction for Alfvén or whistler modes is impossible.