It is shown that the weak states which are used in the standard treatm
ent of neutrino oscillations do not, in general, describe correctly th
e neutrinos produced and detected in weak-interaction processes. It is
also shown that it is impossible to construct a Fock space of weak st
ates. However, neutrino oscillations can be described by defining appr
opriate "weak-process states," which are superpositions of mass eigens
tates weighted by their transition amplitudes in the process under con
sideration. In the extreme relativistic limit, the weak-process states
reduce to the usual weak states. Some numerical examples are given to
illustrate the magnitude of nonrelativistic corrections to the standa
rd results.