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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…

高能物理 - 唯象学 · 物理学 2009-11-07 Alexander Yelkhovsky

Quantum electrodynamical (QED) calculations of ionization energies of the $1snd\,D$ states are performed for the helium atom. We reproduce the previously known relativistic and QED effects up to order $m\alpha^5$ and extend the theory by…

原子物理 · 物理学 2020-07-14 Vladimir A. Yerokhin , Vojtěch Patkóš , Mariusz Puchalski , Krzysztof Pachucki

The nonrelativistic ionization energy levels of a helium atom are calculated for $S$, $P$, $D$ and $F$ states. The calculations are based on the variational method of "exponential" expansion. The convergence of the calculated energy levels…

原子物理 · 物理学 2018-10-29 D. T. Aznabaev , A. K. Bekbaev , Vladimir I. Korobov

Accurate predictions for hydrogen molecular levels require the treatment of electrons and nuclei on an equal footing. While nonrelativistic theory has been effectively formulated this way, calculation of relativistic and quantum…

化学物理 · 物理学 2024-01-24 Krzysztof Pachucki , Jacek Komasa

Fully relativistic approach to evaluate the correlation effects in highly charged ions is presented. The interelectronic-interaction contributions of first and second orders in $1/Z$ are treated rigorously within the framework of…

原子物理 · 物理学 2019-12-18 Y. S. Kozhedub , A. V. Malyshev , D. A. Glazov , V. M. Shabaev , I. I. Tupitsyn

Theoretical predictions for the Lamb shift in helium are limited by unknown quantum electrodynamic effects of the order $\alpha^7m$, where $\alpha$ is the fine-structure constant and $m$ is the electron mass. We make an important step…

高能物理 - 唯象学 · 物理学 2021-02-16 Vojtěch Patkóš , Vladimir A. Yerokhin , Krzysztof Pachucki

Wave functions of a new functional kind have been proposed for Helium-like atoms in this work . These functions explicitly depend on interelectronic and hyperspherical coordinates. The best ground state energy for the Helium atom $…

化学物理 · 物理学 2018-04-18 Richard Habrovsky

We consider quantum electrodynamics (QED) corrections to the fine splitting $E(2P_{3/2}) - E(2P_{1/2})$ in the Li atom. We derive complete formulas for the $m\,\alpha^6$ and $m\,\alpha^7\,\ln\alpha$ contributions and calculate them…

原子物理 · 物理学 2015-06-19 Mariusz Puchalski , Krzysztof Pachucki

We present an introduction to the principles behind atomic energy level calculations with Quantum Electrodynamics (QED) and the two-time Green's function method; this method allows one to calculate an effective Hamiltonian that contains all…

原子物理 · 物理学 2009-11-06 Eric-Olivier Le Bigot , Paul Indelicato

High accuracy helium wave functions based on exponentials with random coefficients are transformed into momentum space. The utility of the wave functions is demonstrated through calculation of the expectation value of various operators…

原子物理 · 物理学 2009-11-10 J. Sapirstein

We perform quantum electrodynamic calculations of the ionization energy of the $1s3d$ states of the $^4$He atom, including a complete evaluation of the $m\alpha^6$ correction. We find a large contribution from the nonradiative part of this…

This review is devoted to precision physics of simple atoms. The atoms can essentially be described in the framework of quantum electrodynamics (QED), however, the energy levels are also affected by the effects of the strong interaction due…

高能物理 - 唯象学 · 物理学 2015-06-25 Savely G. Karshenboim

The quantum electrodynamics formalism to treat the interelectronic-interaction correction of first order in $1/Z$ to the two-electron part of the nuclear recoil effect on binding energies in atoms and ions is developed. The nonperturbative…

原子物理 · 物理学 2019-07-24 A. V. Malyshev , I. S. Anisimova , D. V. Mironova , V. M. Shabaev , G. Plunien

A calculation of two-electron QED effects to all orders in the nuclear binding strength parameter $Z\alpha$ is presented for the ground and $n = 2$ excited states of helium-like ions. After subtracting the first terms of the $Z\alpha$…

原子物理 · 物理学 2022-08-30 Vladimir A. Yerokhin , Vojtěch Patkóš , Krzysztof Pachucki

The theory relevant to the study of matter in equilibrium with the radiation field is thermal quantum electrodynamics (TQED). We present a formulation of the theory, suitable for non relativistic fluids, based on a joint functional integral…

量子物理 · 物理学 2009-11-13 Pascal R. Buenzli , Philippe A. Martin , Marc D. Ryser

Nonrelativistically forbidden, single-photon transition rates between low lying states of the helium atom are rigorously derived within quantum electrodynamics theory. Equivalence of velocity and length gauges, including relativistic…

原子物理 · 物理学 2009-11-07 Grzegorz Lach , Krzysztof Pachucki

The combined fine and hyperfine structure of the $2^3P$ states in $^3$He is calculated within the framework of nonrelativistic quantum electrodynamics. The calculation accounts for the effects of order $m\alpha^6$ and increases the accuracy…

原子物理 · 物理学 2012-05-08 K. Pachucki , V. A. Yerokhin , P. Cancio Pastor

The model-QED-operator approach [Phys. Rev. A 88, 012513 (2013)] to calculations of the radiative corrections to binding and transition energies in atomic systems is extended to the range of nuclear charges $110 \leqslant Z \leqslant 170$.…

原子物理 · 物理学 2022-09-02 A. V. Malyshev , D. A. Glazov , V. M. Shabaev , I. I. Tupitsyn , V. A. Yerokhin , V. A. Zaytsev

We critically examine the current status of theoretical calculations of the energies, the fine structure, and the isotope shift of the lowest-lying states of helium, searching for unresolved discrepancies with experiments. Calculations are…

原子物理 · 物理学 2017-06-28 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir Yerokhin

Considering the nuclear motion, the authors give out the nonrelativistic ground energy of a helium atom by using a simple but effective variational wave function with a flexible parameter $k$. Based on this result, the relativistic and…

量子物理 · 物理学 2009-11-11 Yi-Shi Duan , Yu-Xiao Liu , Li-Jie Zhang
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