Post-Newtonian Hamiltonian description of an atom in a weak gravitational field

@article{Schwartz2019PostNewtonianHD,
  title={Post-Newtonian Hamiltonian description of an atom in a weak gravitational field},
  author={Philip K Schwartz and Domenico Giulini},
  journal={Physical Review A},
  year={2019}
}
We extend the systematic calculation of an approximately relativistic Hamiltonian for center of mass and internal dynamics of an electromagnetically bound two-particle system by Sonnleitner and Barnett [Phys. Rev. A 98, 042106 (2018)] to the case including a weak post-Newtonian gravitational background field, described by the Eddington-Robertson parametrized post-Newtonian metric. Starting from a proper relativistic description of the situation, this approach allows us to systematically derive… 

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