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The quantum electrodynamical theory of the three-photon transitions in hydrogen-like ions is presented. Emission probabilities of various three-photon decay channels for $ 2p_{3/2} $, $ 2p_{1/2} $ and $ 2s_{1/2} $ states are calculated for…

Atomic Physics · Physics 2018-01-23 T. Zalialiutdinov , D. Solovyev , L. Labzowsky

Electron-electron correlation forms the basis of difficulties encountered in multi-electron systems. Accurate treatment of the correlation problem is likely to unravel some nice physical properties of matter embedded in this correlation. In…

Quantum Physics · Physics 2022-03-24 Eric Ouma Jobunga

We derive the ground state energy up to the fourth order in the fine structure constant $\alpha$ for the translation invariant Pauli-Fierz Hamiltonian for a spinless electron coupled to the quantized radiation field. As a consequence, we…

Mathematical Physics · Physics 2015-05-19 Jean-Marie Barbaroux , Semjon Vugalter

We use the configuration interaction method and many-body perturbation theory to perform accurate calculations of energy levels, transition amplitudes, and lifetimes of low-lying states of barium and radium. Calculations for radium are…

Atomic Physics · Physics 2009-11-11 V. A. Dzuba , J. S. M. Ginges

On the basis of variational method we study energy levels of pionic helium $(\pi-e-He)$ and kaonic helium $(K-e-He)$ with an electron in ground state and a meson in excited state with principal and orbital quantum numbers $n\sim l+1\sim…

High Energy Physics - Phenomenology · Physics 2023-11-21 V. I. Korobov , A. V. Eskin , A. P. Martynenko , F. A. Martynenko

Using singlet S states of the helium atom as an example, I describe precise calculation of energy levels in few-electron atoms. In particular, a complete set of effective operators is derived which generates O(m*alpha^6) relativistic and…

High Energy Physics - Phenomenology · Physics 2009-11-07 Alexander Yelkhovsky

Absolute transition frequencies of the $2s\; ^2{\rm S}_{1/2} \rightarrow 2p\;^2\mathrm{P}_{1/2,3/2}$ transitions in Be$^+$ were measured for the isotopes $^{7,9-12}$Be. The fine structure splitting of the $2p$ state and its isotope…

Analytic approximations to the ground-state energy of closed-shell quantum dots (number of electrons from 2 to 210) are presented in the form of two-point Pade approximants. These Pade approximants are constructed from the small- and…

Condensed Matter · Physics 2009-10-30 A. Gonzalez , B. Partoens , F. M. Peeters

The essence of atomic structure theory, quantum chemistry, and computational materials science is solving the multi-electron stationary Schr\"odinger equation. The Quantum Monte Carlo-based neural network wave function method has surpassed…

Atomic Physics · Physics 2023-12-27 JinDe Liu , Chenglong Qin , Xi He , Gang Jiang

The energy levels of the ground states of the three-particle and four-particle bound states of leptons in quantum electrodynamics are calculated. For the calculation, the variational method with Gaussian basis functions is used. The…

High Energy Physics - Phenomenology · Physics 2026-03-09 A. V. Eskin , A. P. Martynenko , F. A. Martynenko , D. K. Pometko

We investigate thermodynamical properties of quantum electrodynamics in 1+1 dimensions. Discrete light cone quantization is used to compute the partition function of the canonical ensemble and the thermodynamical potential. The potential is…

Nuclear Theory · Physics 2009-02-19 S. Strauss , M. Beyer

Energy levels, normal and specific mass shift parameters as well as electronic densities at the nucleus are reported for numerous states along the beryllium, boron, carbon, and nitrogen isoelectronic sequences. Combined with nuclear data,…

Atomic Physics · Physics 2015-06-19 C. Nazé , S. Verdebout , P. Rynkun , G. Gaigalas , M. Godefroid , P. Jönsson

The leading relativistic and QED corrections to the ground state energy of the three-body system (epe) are calculated numerically using a Hylleraas correlated basis set. The accuracy of the nonrelativistic variational ground state wave…

Atomic Physics · Physics 2007-05-23 M. Grigorescu , G. W. F. Drake

Precise calculations of the isotope shifts in berylliumlike thorium and uranium ions are presented. The main contributions to the field and mass shifts are calculated within the framework of the Dirac-Coulomb-Breit Hamiltonian employing the…

This work is dedicated to the study of even-even 8-14 Be isotopes using the particle-particle Random Phase Approximation that accounts for two-body correlations in the core nucleus. A better description of energies and two-particle…

Nuclear Theory · Physics 2014-11-21 Guillaume Blanchon , Nicole Vinh Mau , Angela Bonaccorso , Marc Dupuis , Nathalie Pillet

The structure of exotic nuclei provides valuable tests for state-of-the-art nuclear theory. In particular electromagnetic transition rates are more sensitive to aspects of nuclear forces and many-body physics than excitation energies alone.…

The two-electron self-energy contribution to the ground state energy of heliumlike ions is calculated both for a point nucleus and an extended nucleus in a wide interval of Z. All the two-electron contributions are compiled to obtain most…

Atomic Physics · Physics 2009-10-30 V. A. Yerokhin , A. N. Artemyev , V. M. Shabaev

The energies of the lowest $^2P_u$, $^4P_g$ and $2D_g$ states of the boron atom are calculated with $\mu$hartree accuracy, in the basis of symmetrized, explicitly correlated Gaussian lobe functions. Finite nuclear mass and scalar…

Chemical Physics · Physics 2020-11-18 Krzysztof Strasburger

The strong mixing of close levels with two valence electrons in Be-like xenon greatly complicates ab initio QED calculations beyond the first-order approximation. Due to a strong interplay between the electron-electron correlation and QED…

In a dense plasma environment, the energy levels of an ion shift relative to the isolated ion values. This shift is reflected in the optical spectrum of the plasma and can be measured in, for example, emission experiments. In this work, we…

Plasma Physics · Physics 2024-09-11 T. Q. Thelen , D. A. Rehn , C. J. Fontes , C. E. Starrett
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