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arxiv: hep-ph/9909542 · v1 · submitted 1999-09-28 · ✦ hep-ph

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Nonrelativistic Quantum Hamiltonian for Lorentz Violation

Alan Kostelecky , Charles Lane
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classification ✦ hep-ph
keywords hamiltoniannonrelativisticquantumorderarbitraryderivingexpansionexplicitly
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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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