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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…

Quantum Physics · Physics 2023-06-05 G. Jordan Maclay

We extend the classical phase-space distribution function to include the spin and electromagnetic fields coupling and derive the modified constitutive relations for charge current, energy-momentum tensor, and spin tensor. Because of the…

High Energy Physics - Phenomenology · Physics 2023-04-20 Rajeev Singh , Masoud Shokri , S. M. A. Tabatabaee Mehr

The recent conundrum with the proton charge radius inspires reconsideration of the corrections that enter into determinations of the proton size. We study the two-photon proton-structure corrections, with special consideration of the…

High Energy Physics - Phenomenology · Physics 2013-05-29 Carl E. Carlson , Marc Vanderhaeghen

We study the propagation of Lamb waves in soft dielectric plates subject to mechanical and electrical loadings. We find explicit expressions for the dispersion equations in the cases of neo-Hookean and Gent dielectrics. We elucidate the…

Soft Condensed Matter · Physics 2020-03-26 Hannah Conroy Broderick , Luis Dorfmann , Michel Destrade

We study the vacuum radiative corrections to energy levels of a confined electron in quantum rings. The calculations are provided for the Lamb shift of energy levels in low-momentum region of virtual photons and for both one-dimensional and…

Quantum Physics · Physics 2015-01-07 G. Yu. Kryuchkyan , O. Kyriienko , I. A. Shelykh

We employ ptychography, a phase-retrieval imaging technique, to show experimentally for the first time that a partially coherent high-energy matter (electron) wave emanating from an extended source can be decomposed into a set of mutually…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 S. Cao , P. Kok , P. Li , A. M. Maiden , J. M. Rodenburg

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…

Atomic Physics · Physics 2009-11-11 Andrzej Czarnecki , Ulrich D. Jentschura , Krzysztof Pachucki

We consider the propagation of solitons in media with an imprinted transverse periodic or parabolic refractive index modulation when the modulation depth slightly fluctuates along the propagation direction. We find that, under suitable…

Optics · Physics 2015-05-13 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

We compute an $\mathcal{O}\left(\alpha^2(Z\alpha)^6\right)$ contribution to the hydrogen-atom Lamb shift arising from the light-by-light scattering. Analogous diagrams, with one atomic electric field insertion replaced by an external…

Atomic Physics · Physics 2016-12-21 Andrzej Czarnecki , Robert Szafron

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 construct combined electric and magnetic field variables which independently represent energy flows in the forward and backward directions respectively, and use these to re-formulate Maxwell's equations. These variables enable us to not…

Optics · Physics 2007-05-23 P. Kinsler , S. B. P. Radnor , G. H. C. New

We quantify a limitation in the usual accounting of the finite-size effects, where the leading $[(Z\alpha)^4]$ and subleading $[(Z\alpha)^5]$ contributions to the Lamb shift are given by the mean-square radius and the third Zemach moment of…

High Energy Physics - Phenomenology · Physics 2015-04-29 Franziska Hagelstein , Vladimir Pascalutsa

I construct combined electric and magnetic field variables which independently represent energy flows in the forward and backward directions respectively, and use these to re-formulate Maxwell's equations. The emphasis is on detailed…

Optics · Physics 2007-05-23 P. Kinsler

This work presents a simple method to determine the significant partial wave contributions to experimentally determined observables in pseudoscalar meson photoproduction. First, fits to angular distributions are presented and the maximum…

Data Analysis, Statistics and Probability · Physics 2020-09-22 Y. Wunderlich , F. Afzal , A. Thiel , R. Beck

Results of a calculation valid to all orders in the nuclear-strength parameter Z\alpha are presented for the two-loop Lamb shift, notably for the two-loop self-energy correction, for the ground and first excited states of ions with the…

Atomic Physics · Physics 2009-11-13 V. A. Yerokhin , P. Indelicato , V. M. Shabaev

Recent improvements in the determination of the running of the fine-structure constant also allow an update of the hadronic vacuum-polarization contribution to the Lamb shift. We find a shift of -3.40(7) kHz to the 1S level of hydrogen. We…

Nuclear Theory · Physics 2008-11-26 J. L. Friar , J. Martorell , D. W. L. Sprung

Corrections to energy levels in light muonic atoms are investigated in order $\alpha^2(Z\alpha)^4m$. We pay attention to corrections which are specific for muonic atoms and include the electron vacuum polarization loop. In particular, we…

Atomic Physics · Physics 2014-11-04 Evgeny Yu. Korzinin , Vladimir G. Ivanov , Savely G. Karshenboim

Using the Mott exact cross section for moderate relativistic energies, we calculated the corrections to the first-order Born higher moments of the energy-loss distribution of charged particles in a wide range of the particle charge numbers.

High Energy Physics - Phenomenology · Physics 2020-06-15 O. Voskresenskaya

We compare and contrast three different perturbative expansions for the quartic anharmonic oscillator wavefunction and apply a modified Borel summation technique to determine the energy eigenvalues. In the first two expansions this provides…

Quantum Physics · Physics 2007-08-21 David Leonard , Paul Mansfield

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