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We use effective field theory to compute the influence of nuclear structure on precision calculations of atomic energy levels. As usual, the EFT's effective couplings correspond to the various nuclear properties (such as the charge radius,…

High Energy Physics - Phenomenology · Physics 2021-05-19 L. Zalavari , C. P. Burgess , P. Hayman , M. Rummel

The quantum electrodynamic theory of the nuclear recoil effect in atoms to all orders in \alpha Z and to first order in m/M is considered. The complete \alpha Z - dependence formulas for the relativistic recoil corrections to the atomic…

Atomic Physics · Physics 2007-05-23 V. M. Shabaev

The purpose of this note is to give an elementary derivation of a lower bound on the relativistic Thomas-Fermi-Weizs\"acker-Dirac functional of Thomas-Fermi type and to apply it to get an upper bound on the excess charge of this model.

Mathematical Physics · Physics 2020-10-26 Hongshuo Chen , Rupert L. Frank , Heinz Siedentop

Ionization of highly charged relativistic ions by neutral atoms and ions is considered. Numerical results of recently developed computer codes based on the relativistic Born and the equivalent-photon approximations are presented. The…

Atomic Physics · Physics 2013-05-29 G. Baur , I. L. Beigman , V. P Shevelko , I. Yu. Tolstikhina , Th. Stoehlker

Two forms of relativistic density functional are derived from Dirac equation. Based on their structure analysis model of split electron is proposed. In this model electric charge and mass of electron behave like two point-like particles. It…

Quantum Physics · Physics 2015-05-29 Kirill Koshelev

We develop a time-dependent theory to investigate electron dynamics and photoionization processes of diatomic molecules interacting with strong laser fields including electron-electron correlation effects. We combine the recently formulated…

Chemical Physics · Physics 2016-02-02 Henrik R. Larsson , Sebastian Bauch , Lasse Kragh Sørensen , Michael Bonitz

A theoretical description of time correlation functions for electron properties in the presence of a positive ion of charge number Z is given. The simplest case of an electron gas distorted by a single ion is considered. A semi-classical…

Statistical Mechanics · Physics 2009-11-13 Jeffrey M. Wrighton , James W. Dufty

We prove within the Hartree-Fock theory of pseudo-relativistic atoms that the maximal negative ionization charge and the ionization energy of an atom remain bounded independently of the nuclear charge Z and the fine structure constant…

Mathematical Physics · Physics 2010-11-12 Anna Dall'Acqua , Jan Philip Solovej

Electroweak radiative corrections to the matrix elements $<ns_{1/2}|{\hat H}_{PNC}|n'p_{1/2}>$ are calculated for highly charged hydrogenlike ions. These matrix elements constitute the basis for the description of the most parity…

Quantum Physics · Physics 2008-11-26 I. Bednyakov , L. Labzowsky , G. Plunien , G. Soff , V. Karasiev

A model of dense plasmas relying on the superconfiguration approximation is presented. In each superconfiguration the nucleus is totally screened by the electrons in a Wigner-Seitz sphere (ion-sphere model). Superconfigurations of the same…

Atomic Physics · Physics 2007-06-26 Jean-Christophe Pain

Results for elastic electron scattering by nuclei, calculated with charge densities of Skyrme forces and covariant effective Lagrangians that accurately describe nuclear ground states, are compared against experiment in stable isotopes.…

Nuclear Theory · Physics 2008-11-26 X. Roca-Maza , M. Centelles , F. Salvat , X. Vinas

Electron charge density is a fundamental physical quantity, determining various properties of matter. In this study, we have proposed a deep-learning model for accurate charge density prediction. Our model naturally preserves physical…

Materials Science · Physics 2023-09-27 Taoyuze Lv , Zhicheng Zhong , Yuhang Liang , Feng Li , Jun Huang , Rongkun Zheng

The effective Lagrangian of a point charge is derived by eliminating the electromagnetic field within the framework of the classical closed time path formalism. The short distance singularity of the electromagnetic field is regulated by an…

High Energy Physics - Theory · Physics 2015-06-15 Janos Polonyi

Donor-based quantum devices in silicon are attractive platforms for universal quantum computing and analog quantum simulations. The nearly-atomic precision in dopant placement promises great control over the quantum properties of these…

Quantum Physics · Physics 2025-03-05 Maicol A. Ochoa , Keyi Liu , Piotr Różański , Michał Zieliński , Garnett W. Bryant

Roles of electron correlation effects in the determination of attachment energies, magnetic dipole hyperfine structure constants and electric dipole (E1) matrix elements of the low-lying states in the singly charged cadmium ion (Cd$^+$)…

Atomic Physics · Physics 2018-03-14 Cheng-Bin Li , Yan-Mei Yu , B. K. Sahoo

The impact of the strongly attractive electromagnetic field of heavy nuclei on electrons in quasi-elastic (e,e') scattering is often accounted for by the effective momentum approximation. This method is a plane wave Born approximation which…

Nuclear Theory · Physics 2011-11-09 Andreas Aste , Dirk Trautmann

Most modern calculations of many-electron atoms use basis sets of atomic orbitals. An accurate account for the electronic correlations in heavy atoms is very difficult computational problem and optimization of the basis sets can reduce…

Atomic Physics · Physics 2024-01-17 M. G. Kozlov , Yu. A. Demidov , M. Y. Kaygorodov , E. V. Triapitsyna

It is shown that at low densities, quantum dots with few electrons may be mapped onto effective charge-spin models for the low-energy eigenstates. This is justified by defining a lattice model based on a many-electron pocket-state basis in…

Condensed Matter · Physics 2009-10-28 John H. Jefferson , Wolfgang Häusler

A theoretical study of the intense-field multiphoton ionization of hydrogenlike systems is performed by solving the time-dependent Dirac equation within the dipole approximation. It is shown that the velocity-gauge results agree to the ones…

Quantum Physics · Physics 2015-05-27 Yulian V. Vanne , Alejandro Saenz

We investigate the application of the Sturmian basis set in relativistic atomic structure calculations. We propose a simple implementation of this approach and demonstrate its ability to provide various quantities for hydrogen-like ions,…

Atomic Physics · Physics 2025-06-16 V. K. Ivanov , D. A. Glazov , A. V. Volotka