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• W3168731693 startingPage "245007" @default.
• W3168731693 abstract "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." @default.
• W3168731693 created "2021-06-22" @default.
• W3168731693 creator A5019887472 @default.
• W3168731693 creator A5074717938 @default.
• W3168731693 creator A5089648617 @default.
• W3168731693 creator A5089834549 @default.
• W3168731693 date "2017-11-22" @default.
• W3168731693 modified "2023-09-26" @default.
• W3168731693 title "Analytic model of a multi-electron atom" @default.
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• W3168731693 doi "https://doi.org/10.1088/1361-6455/aa92e6" @default.
• W3168731693 hasPublicationYear "2017" @default.
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