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Phys. Rev. A 71, 012503 (2005) [10 pages]

Higher-order effective Hamiltonian for light atomic systems

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Krzysztof Pachucki*
Institute of Theoretical Physics, Warsaw University, Hoża 69, 00-681 Warsaw, Poland

Received 29 September 2004; published 19 January 2005

We present the derivation of the effective higher-order Hamiltonian, which gives an mα6 contribution to the 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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.71.012503
DOI:
10.1103/PhysRevA.71.012503
PACS:
31.30.Jv, 12.20.Ds, 31.15.Md

*Electronic address: krp@fuw.edu.pl; www.fuw.edu.pl/ ̃krp