The Hamiltonian formalism is used to address the problem of the direct
resonant interaction between the fast magnetosonic wave and the elect
rons in a tokamak plasma. The intrinsic stochasticity of the electron
trajectories in phase space is first derived. Together with extrinsic
decorrelation processes, it assesses the validity of the quasilinear a
pproximation for the kinetic studies of fast wave current drive (FWCD)
. A full-wave solution of the Maxwell-Vlasov set of equations provides
the exact pattern of the wave fields in the tokamak geometry, consist
ent with a realistic antenna spectrum. The local quasilinear diffusion
tensor is then derived from the wave fields and the driven current de
nsity profile, the power deposition profile and the current drive effi
ciency are computed, including possible nonlinear effects in the kinet
ic equation. Several applications of FWCD on existing and future machi
nes are given, and the combination of FWCD with other noninductive cur
rent drive methods is investigated. Finally, an analytical expression
for the current drive efficiency is derived in the moderate to high si
ngle-pass absorption regime.