Nonrelativistic quantum Hamiltonian for Lorentz violation
- 1 December 1999
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 40 (12) , 6245-6253
- https://doi.org/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.Keywords
All Related Versions
This publication has 22 references indexed in Scilit:
- Bound onand Lorentz Symmetry with a Trapped ElectronPhysical Review Letters, 1999
- and Lorentz tests in Penning trapsPhysical Review D, 1998
- Sensitivity ofTests with Neutral MesonsPhysical Review Letters, 1998
- A study of B meson oscillations using hadronic $\mathrm Z^0$ decays containing leptonsThe European Physical Journal C, 1997
- Boundingviolation in the neutralsystemPhysical Review D, 1996
- TestingCPTinvariance with the neutral-DsystemPhysical Review D, 1995
- Tests of direct and indirect CPT violation at a B factoryPhysics Letters B, 1995
- Photon and graviton masses in string theoriesPhysical Review Letters, 1991
- Phenomenological gravitational constraints on strings and higher-dimensional theoriesPhysical Review Letters, 1989
- On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic LimitPhysical Review B, 1950