We show in detail the general relationship between the Schrodinger equation
approach to calculating the MSW: effect and the quantum field-theoretical
S-matrix approach. We show the precise form a generic neutrino propagator m
ust have to allow a physically meaningful "oscillation probability" to be d
ecoupled from neutrino production fluxes and detection cross sections, and
explicitly list the conditions-not realized in cases of current experimenta
l interest-in which the field theory approach would be useful. [S0556-2821(
99)01619-7].