  Exchange effects play an important role in determining the equilibrium
properties of dense matter systems, as well as for magnetic phenomena. There
exists an extensive literature concerning, e.g., the effects of exchange
interactions on the equation of state of dense matter. Here, a generalization
of the Vlasov equation to include exchange effects is presented allowing for
electromagnetic mean fields, thus incorporating some of the dynamic effects due
to the exchange interactions. Treating the exchange term perturbatively, the
correction to classical Langmuir waves in plasmas is found, and the results are
compared with previous work. It is noted that the relative importance of
exchange effects scales similarly with density and temperature as particle
dispersive effects, but that the overall magnitude is sensitive to the details
of the specific problem. The implications of our results are discussed.
