Nonrelativistic Quantum Hamiltonian for Lorentz Violation

Details Nonrelativistic Quantum Hamiltonian for Lorentz Violation Nonrelativistic Quantum Hamiltonian for Lorentz Violation

1999-09-28

arxiv.org/abs/hep-ph/9909542v1

J.Math.Phys.40:6245-6253,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1063/1.533090

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.

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