  Motivated by the effect of matter on neutrino oscillations (the MSW effect)
we study in more detail the propagation of neutrinos in a dense medium. The
dispersion relation for massive neutrinos in a medium is known to have a
minimum at nonzero momentum p \sim (G_F\rho)/\sqrt{2}. We study in detail the
origin and consequences of this dispersion relation for both Dirac and Majorana
neutrinos both in a toy model with only neutral currents and a single neutrino
flavour and in a realistic "Standard Model" with two neutrino flavours. We find
that for a range of neutrino momenta near the minimum of the dispersion
relation, Dirac neutrinos are trapped by their coherent interactions with the
medium. This effect does not lead to the trapping of Majorana neutrinos.
