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Self-energy corrections involving logarithms of the parameter Zalpha can often be derived within a simplified approach, avoiding calculational difficulties typical of the problematic non-logarithmic corrections (as customary in bound-state…

High Energy Physics - Phenomenology · Physics 2009-11-07 U. D. Jentschura , I. Nandori

We discuss relativistic and radiative corrections to the energies of quantum cyclotron states. In particular, it is shown analytically that the leading logarithmic radiative (self-energy) correction to the bound-state energy levels of…

High Energy Physics - Phenomenology · Physics 2025-04-22 Ulrich D. Jentschura

We present results on the self-energy correction to the energy levels of hydrogen and hydrogenlike ions. The self energy represents the largest QED correction to the relativistic (Dirac-Coulomb) energy of a bound electron. We focus on the…

We analyze the leading and higher-order quantum electrodynamic corrections to the energy levels for a single electron bound in a Penning trap, including the Bethe logarithm correction due to virtual excitations of the reference quantum…

High Energy Physics - Phenomenology · Physics 2023-08-09 Ulrich D. Jentschura , Christopher Moore

The radiative self-energy correction to the bound-electron g factor of 2P_1/2 and 2P_3/2 states in one-electron ions is evaluated to order alpha (Z alpha)^2. The contribution of high-energy virtual photons is treated by means of an…

Atomic Physics · Physics 2012-07-06 U. D. Jentschura

In this paper we investigate higher-order corrections to the energies of bound states in hydrogen subjected to the external blackbody radiation field. In particular, within the framework of thermal quantum electrodynamics and $S$-matrix…

Atomic Physics · Physics 2023-10-10 T. Zalialiutdinov , D. Solovyev

A potential for the vertex and self-energy correction is derived from the first-order Born theory. The inclusion of this potential in the Dirac equation, together with the Uehling potential for vacuum polarization, allows for a…

Nuclear Theory · Physics 2023-07-25 D. H. Jakubassa-Amundsen

We consider one-loop self-energy and vacuum polarization radiative corrections to the shift of atomic energy level due to finite nuclear size. Analytic expressions for vacuum polarization corrections are derived. For the self-energy of p1/2…

Atomic Physics · Physics 2009-11-10 A. I. Milstein , O. P. Sushkov , I. S. Terekhov

The hyperfine structure (HFS) of a bound electron is modified by the self-interaction of the electron with its own radiation field. This effect is known as the self-energy correction. In this work, we discuss the evaluation of higher-order…

Atomic Physics · Physics 2010-01-14 U. D. Jentschura , V. A. Yerokhin

We derive the finite-volume correction to the binding energy of an N-particle quantum bound state in a cubic periodic volume. Our results are applicable to bound states with arbitrary composition and total angular momentum, and in any…

High Energy Physics - Lattice · Physics 2018-02-02 Sebastian König , Dean Lee

Processes mediated by two virtual low-energy photons contribute quite significantly to the energy of hydrogenic S states. The corresponding level shift is of the order of (alpha/pi)^2 (Zalpha)^6 m_e c^2 and may be ascribed to a two-loop…

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

For the kinetic energy of 1d model finite systems the leading corrections to local approximations as a functional of the potential are derived using semiclassical methods. The corrections are simple, non-local functionals of the potential.…

Other Condensed Matter · Physics 2010-06-25 Attila Cangi , Donghyung Lee , Peter Elliott , Kieron Burke

We investigate a specific set of two-loop self-energy corrections involving squared decay rates and point out that their interpretation is highly problematic. The corrections cannot be interpreted as radiative energy shifts in the usual…

High Energy Physics - Phenomenology · Physics 2008-11-26 U. D. Jentschura , J. Evers , C. H. Keitel , K. Pachucki

This PhD thesis is concerned with one-loop virtual electroweak corrections to arbitrary processes in the high-energy limit. Complete results are presented for the leading and subleading logarithms of large ratios of energy scales to mass…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefano Pozzorini

The Lande g factor describes the response of an atomic energy level to an external perturbation by a uniform and constant magnetic field. In the case of many-electron systems, the leading term is given by the interaction mu_B*(L+2S.B),…

Atomic Physics · Physics 2012-09-25 M. Puchalski , U. D. Jentschura

Within the framework of QED theory at finite temperature the thermal radiative corrections to spontaneous one-photon transition rates in hydrogen atom are investigated. The radiative one-loop self-energy corrections are described in the…

Atomic Physics · Physics 2020-05-13 T. Zalialiutdinov , D. Solovyev , L. Labzowsky

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

In muonic bound systems, the dominant radiative correction is due to vacuum polarization. Yet, for the interpretation of precision experiments, self-energy effects are also important. In turn, additional vacuum-polarization loops perturb…

High Energy Physics - Phenomenology · Physics 2024-09-30 B. Ohayon , U. D. Jentschura

Within a fully relativistic framework, the one-loop self-energy correction for a bound electron is derived and extended to incorporate the effects of external thermal radiation. In a series of previous works, it was shown that in quantum…

Atomic Physics · Physics 2026-03-17 M. A. Reiter , D. A. Solovyev , A. A. Bobylev , D. A. Glazov , T. A. Zalialiutdinov

We discuss recent progress in various problems related to bound-state quantum electrodynamics: the bound-electron g factor, two-loop self-energy corrections and the laser-dressed Lamb shift. The progress relies on various advances in the…

High Energy Physics - Phenomenology · Physics 2011-08-17 U. D. Jentschura , J. Evers
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