Relativistic properties of a molecule: energy, linear momentum, angular momentum and boost momentum to order $1/c^2$.
We give an explicit and general description of the energy, linear momentum, angular momentum and boost momentum of a molecule to order $1/c^2$, where it necessary to take account of kinetic contributions made by the electrons and nuclei as well as electromagnetic contributions made by the intramolecular field. A wealth of interesting subtleties are encountered that are not seen at order $1/c^0$, including relativistic Hall shifts, anomalous velocities and hidden momenta. Some of these have well known analogues in solid state physics.
Publisher URL: http://arxiv.org/abs/1802.05723
DOI: arXiv:1802.05723v1
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