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We provide an integration of the universal, perturbative explicitly correlated [2]$_\text{R12}$-correction in the context of the Variational Quantum Eigensolver (VQE). This approach is able to increase the accuracy of the underlying…

Quantum Physics · Physics 2022-07-08 Philipp Schleich , Jakob S. Kottmann , Alán Aspuru-Guzik

State-dependent quantum electrodynamic corrections are evaluated for the hyperfine splitting of nS states for arbitrary principal quantum number n. The calculations comprise both the self-energy and the vacuum-polarization correction of…

Atomic Physics · Physics 2007-05-23 Ulrich D. Jentschura , Vladimir A. Yerokhin

The two-loop electron self-energy correction is one of the most problematic QED effects and, for a long time, was the dominant source of uncertainty in the theoretical prediction of the bound-electron $g$ factor in hydrogen-like ions. A…

Atomic Physics · Physics 2025-12-08 V. A. Yerokhin , B. Sikora , Z. Harman , C. H. Keitel

Quantum electrodynamics (QED) is studied in the framework of the exact (functional) renormalization group (ERG). This is done using an approach to these equations which employs dimensional regularization. Simultaneous solutions of the ERG…

High Energy Physics - Phenomenology · Physics 2025-07-03 Guillermo Hansen , Roberto Trinchero

The parity-violating asymmetry, including leading-order QED corrections to the Coulomb potential, is calculated non-perturbatively by solving the Dirac equation. At GeV collision energies and forward scattering angles, QED effects enhance…

Nuclear Theory · Physics 2025-05-14 Xavier Roca-Maza , D H. Jakubassa-Amundsen

We investigate temperature behavior up to two loop level in QED in the background heat bath using real time formalism. The thermal correction to the coupling constant in QED at low temperature are presented up to the two loop level. It is…

High Energy Physics - Phenomenology · Physics 2007-05-23 Mahnaz Haseeb , Samina S. Masood

The quantum electrodynamical (QED) short wavelength correction on plasma wave propagation for a non-relativistic quantum plasma is investigated. A general dispersion relation for a thermal multi-component quantum plasma is derived. It is…

Plasma Physics · Physics 2009-03-19 J. Lundin , J. Zamanian , M. Marklund , G. Brodin

The energy levels of the $n=1$ and $n=2$ bound states of the $\mu^+\mu^-$ atom (true muonium) are calculated starting from a previously derived potential that correctly describes positronium to order $\alpha^5$ supplemented by the known…

High Energy Physics - Phenomenology · Physics 2025-05-09 Wayne W. Repko

The technique of quantum electrodynamics (QED) calculations of energy levels in the helium atom is reviewed. The calculations start with the solution of the Schr\"odinger equation and account for relativistic and QED effects by perturbation…

Atomic Physics · Physics 2021-07-14 Vladimir A. Yerokhin , Vojtech Patkos , Krzysztof Pachucki

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

We present calculations of the self-energy correction to the $E1$ transition amplitudes in hydrogen-like ions, performed to all orders in the nuclear binding strength parameter. Our results for the $1s$-$2p_{1/2}$ transition for the…

Atomic Physics · Physics 2025-02-07 M. G. Kozlov , M. Y. Kaygorodov , Yu. A. Demidov , V. A. Yerokhin

We investigate the self-energy of one electron coupled to a quantized radiation field by extending the ideas developed recently by C. Hainzl. We fix an arbitrary cut-off parameter Lambda and recover the alpha^2-term of the self-energy,…

Mathematical Physics · Physics 2007-05-23 I. Catto , Ch. Hainzl

We derive the atomic radiative corrections predicted by QED using an alternative approach that offers the advantage of physical clarity and transparency. The element that gives rise to these corrections is the fluctuating zero-point…

Quantum Physics · Physics 2013-01-29 Ana María Cetto , Luis de la Peña , Andrea Valdés-Hernández

We report calculations of QED corrections to the $g$ factor of Li-like ions induced by the exchange of two virtual photons between the electrons. The calculations are performed within QED theory to all orders in the nuclear binding strength…

Atomic Physics · Physics 2021-08-18 V. A. Yerokhin , C. H. Keitel , Z. Harman

We report the potential energy curve, the diagonal Born-Oppenheimer, non-adiabatic mass, relativistic, and leading-order QED corrections for the ground electronic state of the helium dimer cation; the higher-order QED and finite-nuclear…

Chemical Physics · Physics 2026-02-25 Edit Mátyus , Ádám Margócsy

The quantum electrodynamic correction to the energy of the hydrogen molecule has been evaluated without expansion in the electron-proton mass ratio. The obtained results significantly improve the accuracy of theoretical predictions reaching…

Atomic Physics · Physics 2019-04-08 M. Puchalski , J. Komasa. P. Czachorowski , K. Pachucki

Background: Models based on using perturbative polarization corrections and mean-field blocking approximation give conflicting results for masses of odd nuclei. Purpose: Systematically investigate the polarization and mean-field models,…

Nuclear Theory · Physics 2014-01-22 D. Tarpanov , J. Toivanen , J. Dobaczewski , B. G. Carlsson

We derive an approximate expression for a "radiative potential" which can be used to calculate QED strong Coulomb field radiative corrections to energies and electric dipole (E1) transition amplitudes in many-electron atoms with an accuracy…

Atomic Physics · Physics 2009-08-18 V. V. Flambaum , J. S. M. Ginges

Relative order \alpha(Z\alpha)^3 shift of the energy levels induced by the vacuum polarization is reexamined for a bound system of two particles with masses m and M. Recent results for hydrogen and for positronium are shown to contain an…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Yelkhovsky

We explore static and spherically symmetric solutions of the 4-dimensional semiclassical Einstein's equations using the quantum vacuum polarization of a conformal field as a source. These solutions may be of interest for \black{the study…

General Relativity and Quantum Cosmology · Physics 2023-05-16 Pau Beltrán-Palau , Adrián del Río , José Navarro-Salas