A calculation of the quasilinear transport and heating of plasma particles and diffusion of particle energy is presented, emphasizing the resonant interaction of plasma particles with waves in the magnetic drift frequency range. Substantial transport can occur for relatively small wave field amplitudes in a number of applications involving tandem mirrors and ELMO Bumpy Toruses (EBT), e.g., pumping of thermal barriers in tandems and profile control in EBT’s. The diffusion is selective and can cause preferential transport of a particular charge or energy component, and can even be inward in some cases.