Higher-order effective Hamiltonian for light atomic systems

Details Higher-order effective Hamiltonian for light atomic systems Higher-order effective Hamiltonian for light atomic systems

2004-11-18

arxiv.org/abs/physics/0411168v1

Physics

Atomic Physics

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

Scientific paper

10.1103/PhysRevA.71.012503

We present the derivation of the effective higher-order Hamiltonian, which gives $m \alpha^6$ 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.

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