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Journal Article

Analytic model of a multi-electron atom


Skoromnik,  Oleg
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society,;


Keitel,  Christoph H.
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society,;

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Skoromnik, O., Feranchuk, I. D., Leonau, A. U., & Keitel, C. H. (2017). Analytic model of a multi-electron atom. Journal of Physics B: Atomic, Molecular and Optical Physics, 50: 245007. doi:10.1088/1361-6455/aa92e6.

Cite as: https://hdl.handle.net/21.11116/0000-0000-F53F-6
A fully analytical approximation for the observable characteristics of many-electron atoms is developed via a complete and orthonormal hydrogen-like basis with a single-effective charge parameter for all electrons of a given atom. The basis completeness allows us to employ the secondary-quantized representation for the construction of regular perturbation theory, which includes in a natural way correlation effects, converges fast and enables an effective calculation of the subsequent corrections. The hydrogen-like basis set provides a possibility to perform all summations over intermediate states in closed form, including both the discrete and continuous spectra. This is achieved with the help of the decomposition of the multi-particle Green function in a convolution of single-electronic Coulomb Green functions. We demonstrate that our fully analytical zeroth-order approximation describes the whole spectrum of the system, provides accuracy, which is independent of the number of electrons and is important for applications where the Thomas-Fermi model is still utilized. In addition already in second-order perturbation theory our results become comparable with those via a multi-configuration Hartree-Fock approach.