  A theoretical model is developed and evaluated using a Vlasov-Poisson
treatment to calculate radiofrequency (RF) electric field heating rates for
magnetized electrons in neutral plasma when the magnetic and electric field
directions are colinear and when the RF is of sufficiently high frequency. This
calculation reduces to the theory for magnetized longitudinal AC conductivity
introduced by Oberman and Shure [C. Oberman and F. Shure, Phys. Fluids 6,
834-838 (1963)] in the low-amplitude limit when the electron oscillation
velocity is much less than the thermal velocity. For electron coupling
strengths $\Gamma=0.15$--$0.015$ and RF fields accessible to ultracold neutral
plasma experiments, the model predicts mild variations in heating rate of order
unity across magnetization strengths spanning orders of magnitude. The
predicted effect of including a BGK-type collisional relaxation term in the
Vlasov equation reduces the heating rate by 5% or less across magnetizations.
