Nonrelativistic quantum Hamiltonian for Lorentz violation

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AIP Publishing

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.

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Kostelecký, V. A., & Lane, C. D. (1999). Nonrelativistic quantum Hamiltonian for Lorentz violation. Journal of Mathematical Physics, 40(12), 6245-6253. http://dx.doi.org/10.1063/1.533090

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© 1999 American Institute of Physics

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Article