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In this work we develop and implement a method for calculation of the Bethe logarithm for many-electron atoms. This quantity is required to evaluate the leading-order quantum electrodynamics correction to the energy and properties of atomic…

原子物理 · 物理学 2023-11-21 Michał Lesiuk , Jakub Lang

In this paper we endeavour to determine the energy levels of an atom by virtue of the modified Dirac equation. It has been found that the energy levels contain an extra term in the expression which accounts for the {\it zitterbewegung}…

综合物理 · 物理学 2017-05-05 A. Das , B. G. Sidharth

By using the plane-wave expansion for the electromagnetic-field vector potential, transition matrix elements between the relativistic bound and unbound states of hydrogenic atoms were expressed explicitly in terms of finite series made of…

量子物理 · 物理学 2014-12-17 J. Seke , A. V. Soldatov , M. Polak , G. Adam

In an atom, the interaction of a bound electron with the vacuum fluctuations of the electromagnetic field leads to complex shifts in the energy levels of the electron, with the real part of the shift corresponding to a shift in the energy…

量子物理 · 物理学 2023-06-05 G. Jordan Maclay

It is shown that algebraic techniques based on the Lie algebra so(4,2) provide efficient tools for evaluating Lamb shifts and radiative decay rates for hydrogenic energy eigenstates as they systematically exploit the intrinsic symmetry of…

量子物理 · 物理学 2026-04-09 Gernot Alber

Calculations of the two-loop electron self-energy for the $1S$ Lamb shift are reported, performed to all orders in the nuclear binding strength parameter $Z\alpha$ (where $Z$ is the nuclear charge number and $\alpha$ is the fine structure…

原子物理 · 物理学 2025-01-08 V. A. Yerokhin , Z. Harman , C. H. Keitel

The two-loop self-energy correction to the Lamb shift of hydrogen-like ions is calculated for the $1s$, $2s$, and $2p_{1/2}$ states and nuclear charge numbers $Z = 30$-$100$. The calculation is performed to all orders in the nuclear binding…

原子物理 · 物理学 2018-05-25 V. A. Yerokhin

A calculation valid to all orders in the nuclear-strength parameter is presented for the two-loop Lamb shift, notably for the two-loop self-energy correction, to the 2p-2s transition energies in heavy Li-like ions. The calculation removes…

原子物理 · 物理学 2009-11-13 V. A. Yerokhin , P. Indelicato , V. M. Shabaev

Hybrid quantum systems consisting of an ensemble of two--level systems interacting with a single--mode electromagnetic field are important for the development of quantum information processors and other quantum devices. These systems are…

The hydrogen atom is investigated, within a pseudo-complex extension of the coordinates and momenta, which introduces a minimal length scale (l) and results into a non-commutative Quantum Mechanics. After resuming the pseudo-complex…

量子物理 · 物理学 2021-11-30 Peter O Hess

By using a Coulomb potential modified by the interaction between the magnetic moments of the electron and proton, we have calculated the energy levels of a hydrogen atom. We have obtained fine structure, hyperfine structure and the Lamb…

综合物理 · 物理学 2015-10-20 Voicu Dolocan

From the comparison between the experimental and theoretical results for the energy difference between 2s1/2 and 2p1/2 states in hydrogen and hydrogen-like ions with different values of Z, we estimate bounds for the presence of an extra…

高能物理 - 唯象学 · 物理学 2019-03-06 Daniela Grandón , Alfredo Vega

The two-loop self-energy correction is evaluated to all orders in Z\alpha for the ground-state Lamb shift of H-like ions with Z >= 10, where Z is the nuclear charge number and \alpha is the fine structure constant. The results obtained are…

高能物理 - 唯象学 · 物理学 2009-11-10 V. A. Yerokhin , P. Indelicato , V. M. Shabaev

We derive a new relation between the observed Lamb shift energies of hydrogen and muonium atoms. The relation is based on the non-relativistic description of the Lamb shift, and the proper treatment of the reduced mass of electron and…

We present a calculation scheme for the two-loop vacuum polarization correction of order $\alpha^2$ to the Lamb shift of hydrogen-like high-Z atoms. The interaction with the external Coulomb field is taken into account to all orders in…

量子物理 · 物理学 2007-05-23 G. Plunien , T. Beier , G. Soff , H. Persson

We present an improved calculation of higher-order corrections to the one-loop self energy of 2P states in hydrogen-like systems with small nuclear charge Z. The method is based on a division of the integration with respect to the photon…

原子物理 · 物理学 2009-11-06 U. D. Jentschura , K. Pachucki

I show that Lamb-Retherford experiment can be fully described within the framework of classical field theory without using concepts such as the discrete states of the atom and jump-like electron transitions between them. The rate of…

综合物理 · 物理学 2018-03-14 Sergey A. Rashkovskiy

The sustained intense experimental activity around atomic spectroscopy and the resulting high-precision measurements of atomic spectral lines attract interest in Lamb shift as a witness for noninertial effects in quantum systems. We…

量子物理 · 物理学 2023-10-31 Navdeep Arya , Sandeep K. Goyal

We discuss radiative corrections to an atomic two-level system subject to an intense driving laser field. It is shown that the Lamb shift of the laser-dressed states, which are the natural state basis of the combined atom-laser system,…

量子物理 · 物理学 2007-05-23 U. D. Jentschura , J. Evers , M. Haas , C. H. Keitel

We study the spectrum of Hydrogen atom, Lamb shift and Stark effect in the framework of simultaneous space-space and momentum-momentum (s-s, p-p) noncommutative quantum mechanics. The results show that the widths of Lamb shift due to…

高能物理 - 理论 · 物理学 2010-10-27 S. A. Alavi