Nonrelativistic Quantum Hamiltonian for Lorentz Violation

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.

Comments: Accepted in J. Math. Phys., scheduled for December 1999 issue