Higher-order effective Hamiltonian for light atomic systems
Abstract
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.
- Publication:
-
Physical Review A
- Pub Date:
- January 2005
- DOI:
- 10.1103/PhysRevA.71.012503
- arXiv:
- arXiv:physics/0411168
- Bibcode:
- 2005PhRvA..71a2503P
- Keywords:
-
- 31.30.Jv;
- 12.20.Ds;
- 31.15.Md;
- Relativistic and quantum electrodynamic effects in atoms and molecules;
- Specific calculations;
- Perturbation theory;
- Atomic Physics;
- Chemical Physics
- E-Print:
- 19 pages, Phys. Rev. A, to be published