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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…

General Physics · Physics 2018-03-14 Sergey A. Rashkovskiy

This dissertation presents the first theoretical investigation of the Lamb shift in a light-front hamiltonian approach: the dominant part of the splitting between the 2S(1/2) and 2P(1/2) energy levels in hydrogen is calculated. Also…

High Energy Physics - Phenomenology · Physics 2009-09-25 Billy D. Jones

We calculate the two-loop Bethe logarithm correction to atomic energy levels in hydrogen-like systems. The two-loop Bethe logarithm is a low-energy quantum electrodynamic (QED) effect involving multiple summations over virtual excited…

High Energy Physics - Phenomenology · Physics 2007-05-23 Krzysztof Pachucki , Ulrich D. Jentschura

We perform quantum mechanically exact calculations of resonances in the spectrum of the hydrogen atom in crossed external fields and establish a close connection between the classical transition state in phase space and features in the…

Atomic Physics · Physics 2009-03-19 Holger Cartarius , Jörg Main , Günter Wunner

We clarify two issues related to the so-called $D$-term in matrix elements of the energy-momentum tensor. First, we show that in a stable system, the $D$-term can have either sign, contrary to claims that it must be negative. Second, we…

High Energy Physics - Phenomenology · Physics 2023-09-21 Andrzej Czarnecki , Yizhuang Liu , Syed Navid Reza

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

The Lamb shift measurement and theory are now both a dynamically developing field and we give a review of the current data. Critical comparison of theory and experiment can be done using a value of the proton charge radius and we pay…

High Energy Physics - Phenomenology · Physics 2007-05-23 Savely G. Karshenboim

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…

Atomic Physics · Physics 2009-11-11 U. D. Jentschura

We consider the influence of acceleration on the radiative energy shifts of atoms in Minkowski space. We study a two-level atom coupled to a scalar quantum field. Using a Heisenberg picture approach, we are able to separate the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Juergen Audretsch , Rainer Mueller

Energy levels of QED bound states, which depend on a number of independent mass parameters, can be calculated as matrix elements of the QED energy-momentum tensor trace. As an example of such system we consider muonic hydrogen. The leading…

High Energy Physics - Phenomenology · Physics 2026-03-10 Michael I. Eides , Vladimir A. Yerokhin

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…

Mathematical Physics · Physics 2023-06-27 Timothée Audinet , Julien Toulouse

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…

Atomic Physics · Physics 2009-11-07 Grzegorz Lach , Krzysztof Pachucki

The correction to the hydrogen Lamb shift due to the proton electric and magnetic polarizabilities is expressed analytically through their static values, which are known from experiment. The numerical value of the correction to the hydrogen…

Atomic Physics · Physics 2009-10-31 I. B. Khriplovich , R. A. Sen'kov

We consider possible tests of the Einstein Equivalence Principle for physical systems in which quantum-mechanical vacuum energies cannot be neglected. Specific tests include a search for the manifestation of non-metric effects in Lamb-shift…

General Relativity and Quantum Cosmology · Physics 2015-06-25 C. Alvarez , R. B. Mann

We use previously developed radiative potential method to calculate quantum electrodynamic (QED) corrections to energy levels and electric dipole transition amplitudes for atoms which are used for the study of the parity non-conservation…

Atomic Physics · Physics 2014-03-20 B. M. Roberts , V. A. Dzuba , V. V. Flambaum

We study space-time noncommutativity applied to the hydrogen atom and the phenomenological aspects induced. We find that the noncommutative effects are similar to those obtained by considering the extended charged nature of the proton in…

High Energy Physics - Phenomenology · Physics 2014-11-20 Mustafa Moumni , Achour BenSlama , Slimane Zaim

We rederive the $O(\alpha^5)$ shift of the hydrogen levels in the non-recoil ($m_e/m_P \to 0$) limit using Nonrelativistic QED (NRQED), an effective field theory developed by Caswell and Lepage (Phys. Lett. 167B, 437 (1986)). Our result…

High Energy Physics - Phenomenology · Physics 2016-09-06 Patrick Labelle , S. Mohammad Zebarjad

The electromagnetic shift of energy levels of H-atom electrons is determined by calculating an electron coupling to the Gibbons-Hawking electromagnetic field thermal bath. Energy shift of electrons in H-atom is determined in the framework…

General Physics · Physics 2016-12-01 Miroslav Pardy

We develop a QED approach to find the contribution of the quantum vacuum to the electromagnetic Abraham force. Semi-classical theories predict diverging contributions from the quantum vacuum. We show that the divergencies disappear by…

Quantum Physics · Physics 2015-06-04 Bart Van Tiggelen , Sebastien Kawka , Geert L. J. A. Rikken

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…

Atomic Physics · Physics 2023-11-21 Michał Lesiuk , Jakub Lang