English

Higher-order effective Hamiltonian for light atomic systems

Atomic Physics 2009-11-10 v1 Chemical Physics

Abstract

We present the derivation of the effective higher-order Hamiltonian, which gives mα6m \alpha^6 contribution to energy levels of an arbitrary light atom. The derivation is based on the Foldy-Wouthuysen transformation of the one-particle Dirac Hamiltonian followed by perturbative expansion of the many particle Green function. The obtained results can be used for the high precision calculation of relativistic effects in atomic systems.

Keywords

Cite

@article{arxiv.physics/0411168,
  title  = {Higher-order effective Hamiltonian for light atomic systems},
  author = {Krzysztof Pachucki},
  journal= {arXiv preprint arXiv:physics/0411168},
  year   = {2009}
}

Comments

19 pages, Phys. Rev. A, to be published