Erlangen 2018 – wissenschaftliches Programm

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A: Fachverband Atomphysik

A 33: Poster Session II

A 33.18: Poster

Mittwoch, 7. März 2018, 16:15–18:15, Redoutensaal

Analytical evaluation of energy levels for multi-electron atoms with Hartree-Fock accuracy — •Kamil D Dzikowski, Oleg D Skoromnik, Natalia S Oreshkina, and Christoph H Keitel — Max Planck Institute for Nuclear Physics, Saupfercheckweg 1, 69117 Heidelberg, Germany

We employ a complete hydrogen-like basis with an effective charge parameter to find fully analytic expressions for energy levels of multi-electron ions and atoms. The completeness of such basis allows us to write a secondary quantized representation of the exact Hamiltonian for construction of perturbation theory. To increase the convergence rate, we isolate contributions from states with closely spaced energies, by forming suitable linear combinations of the corresponding state vectors. We then use them to diagonalize the system's Hamiltonian, effectively accounting for all orders of perturbation theory within a corresponding finite basis subset. The accuracy of calculated characteristics is comparable with the one obtained via advanced numerical solutions of Hartree-Fock equations. [1] J. Phys. B 50 245007 (2017) https://doi.org/10.1088/1361-6455/aa92e6