Nonrelativistic Quantum Hamiltonian for Lorentz Violation
arXiv:hep-ph/9909542 · doi:10.1063/1.533090
Abstract
A method is presented for deriving the nonrelativistic quantum hamiltonian of a free massive fermion from the relativistic lagrangian of the Lorentz-violating standard-model extension. It permits the extraction of terms at arbitrary order in a Foldy-Wouthuysen expansion in inverse powers of the mass. The quantum particle hamiltonian is obtained and its nonrelativistic limit is given explicitly to third order.
Accepted in J. Math. Phys., scheduled for December 1999 issue