A method is presented for deriving the nonrelativistic quantum Hamiltonian
of a free massive fermion from the relativistic Lagrangian of the Lorentz-v
iolating standard-model extension. It permits the extraction of terms at ar
bitrary order in a Foldy-Wouthuysen expansion in inverse powers of the mass
. The quantum particle Hamiltonian is obtained and its nonrelativistic limi
t is given explicitly to third order. (C) 1999 American Institute of Physic
s. [S0022-2488(99)01712-0].