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Calculation of higher-order two-loop corrections is now a limiting factor in development of the bound state QED theory of the Lamb shift in the hydrogen atom and in precision determination of the Rydberg constant. Progress in the study of…

原子物理 · 物理学 2007-05-23 Vladimir G. Ivanov , Savely G. Karshenboim

To describe the grazing scattering of keV atoms at surface, a new quantum binary collision model have been proposed where the dynamical properties of the surface atoms are considered via the wave-function of the local Debye harmonic…

原子物理 · 物理学 2018-07-25 Philippe Roncin , Maxime Debiossac

A fundamental issue in classical electrodynamics is represented by the search of the exact equation of motion for a classical charged particle under the action of its electromagnetic (EM) self-field - the so-called radiation-reaction…

经典物理 · 物理学 2008-09-22 M. Tessarotto , C. Cremaschini , M. Dorigo

Offshell electrodynamics based on a manifestly covariant off-shell relativistic dynamics of Stueckelberg, Horwitz and Piron, is five-dimensional. In this paper, we study the problem of radiation reaction of a particle in motion in this…

数学物理 · 物理学 2015-03-19 I. Aharonovich , L. P. Horwitz

The Dirac equation for the Coulomb problem is restated by incorporating a nonlinear effective interaction into the Dirac Hamiltonian: one keeps the $1/r$ dependence for the Coulomb field, but the coupling constant is modified by a factor…

量子物理 · 物理学 2007-05-23 S. Bruce , J. Diaz-Valdes

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

It has been shown by Gupta and Padmanabhan that the radiation reaction force of the Abraham-Lorentz-Dirac equation can be obtained by a coordinate transformation from the inertial frame of an accelerating charged particle to that of the…

经典物理 · 物理学 2014-11-18 O. Oron , L. P. Horwitz

The Einstein Equivalence Principle has as one of its implications that the non-gravitational laws of physics are those of special relativity in any local freely-falling frame. We consider possible tests of this hypothesis for systems whose…

广义相对论与量子宇宙学 · 物理学 2016-08-31 C. Alvarez , R. B. Mann

We calculate the one- and two-loop corrections of order alpha(Zalpha)^6 and alpha^2(Zalpha)^6 respectively, to the Lamb shift in hydrogen-like systems using the formalism of nonrelativistic quantum electrodynamics. We obtain general results…

原子物理 · 物理学 2009-11-11 Ulrich D. Jentschura , Andrzej Czarnecki , Krzysztof Pachucki

The parametrized Dirac wave equation represents position and time as operators, and can be formulated for many particles. It thus provides, unlike field-theoretic Quantum Electrodynamics (QED), an elementary and unrestricted representation…

量子物理 · 物理学 2020-02-28 A. F. Bennett

Quantum electrodynamics has been the first theory to emerge from the ideas of regularization and renormalization, and the coupling of the fermions to the virtual excitations of the electromagnetic field. Today, bound-state quantum…

原子物理 · 物理学 2009-11-11 U. D. Jentschura

Theoretical energy levels of the $n = 1$ and $n = 2$ states of hydrogenlike atoms with the nuclear charge numbers $1 \le Z \le 110$ are tabulated. The tabulation is based on ab initio quantum electrodynamical calculations performed to all…

原子物理 · 物理学 2015-09-28 V. A. Yerokhin , V. M. Shabaev

We argue that the energy levels of an Unruh detector experience an effect similar to the Lamb shift in Quantum Electrodynamics. As a consequence, the spectrum of energy levels in a curved background is different from that in flat space. As…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Bjorn Garbrecht , Tomislav Prokopec

We study electroweak interactions in the multiscale theory with $q$-derivatives, a framework where spacetime has the typical features of a multifractal. In the simplest case with only one characteristic time, length and energy scale $t_*$,…

高能物理 - 理论 · 物理学 2016-01-12 Gianluca Calcagni , Giuseppe Nardelli , David Rodríguez-Fernández

A simple model of an atom interacting with the quantized electromagnetic field is studied. The atom has a finite mass $m$, finitely many excited states and an electric dipole moment, $\vec{d}_0 = -\lambda_{0} \vec{d}$, where $\| d^{i}\| =…

数学物理 · 物理学 2015-05-20 Miguel Ballesteros , Jérémy Faupin , Jürg Fröhlich , Baptiste Schubnel

General expressions for quantum electrodynamic corrections to the one-loop self-energy [of order alpha(Zalpha)^6] and for the two-loop Lamb shift [of order alpha^2(Z\alpha)^] are derived. The latter includes all diagrams with closed fermion…

原子物理 · 物理学 2009-11-11 Andrzej Czarnecki , Ulrich D. Jentschura , Krzysztof Pachucki

We study light propagation through a slab of cold gas using both the standard electrodynamics of polarizable media, and massive atom-by-atom simulations of the electrodynamics. The main finding is that the predictions from the two methods…

光学 · 物理学 2017-09-21 Juha Javanainen , Janne Ruostekoski , Yi Li , Sung-Mi Yoo

The motion of electrons under homogeneously applied electric fields in low-dimensional systems with non-zero off-diagonal effective mass (ODEM) is studied. The equation describing the time evolution of a probability coefficient of finding…

应用物理 · 物理学 2025-06-26 Nobuya Mori , Hajime Tanaka , Jo Okada

We consider a one-dimensional effective quantum electrodynamics (QED) model of the relativistic hydrogen-like atom using delta-potential interactions. We discuss the general exact theory and the Hartree-Fock approximation. The present…

数学物理 · 物理学 2023-06-27 Timothée Audinet , Julien Toulouse

The maximal acceleration corrections to the Lamb shift of one--electron atoms are calculated starting from the Dirac equation and splitting the spinor into large and small components. The results depend on $Z^8$ and a cut-off $\Lambda$.…

高能物理 - 理论 · 物理学 2007-05-23 G. Lambiase , G. Papini , G. Scarpetta