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Energy levels of a two-body atomic system in an external homogeneous magnetic field can be presented in terms of magnetic moments of their components, however, those magnetic moments being related to bound particles differ from their free…

High Energy Physics - Phenomenology · Physics 2014-11-17 S. G. Karshenboim , V. G. Ivanov

We consider higher order corrections to the g factor of a bound proton in hydrogen atom and their consequences for a magnetic moment of free and bound proton and deuteron as well as some other objects.

High Energy Physics - Phenomenology · Physics 2009-11-10 Savely G. Karshenboim , Vladimir G. Ivanov

We consider the $g$ factor of a spin-1/2 particle (electron or muon) bound by an arbitrary central field. We present an approach which allows one to express the relativistic $g$ factor in terms of the binding energy. We derive the general…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. G. Karshenboim , R. N. Lee , A. I. Milstein

We propose to accurately determine the orbital magnetic moment of the electron by measuring, in a Magneto-Optical or Ion trap, the ratio of the Lande g-factors in two atomic states. From the measurement of (gJ1/gJ2), the quantity A, which…

Atomic Physics · Physics 2015-06-01 A. M. Awobode

Theoretical predictions underlying determinations of the fine structure constant alpha and the electron-to-proton mass ratio m_e/m_p are reviewed, with the emphasis on the bound electron magnetic anomaly g-2. The theory of the interaction…

High Energy Physics - Phenomenology · Physics 2010-12-13 Andrzej Czarnecki , Matthew Dowling , Jorge Mondejar , Jan H. Piclum

Dirac has predicted that the $g$ factor of an electron is strictly equal to 2 in the framework of relativistic quantum mechanics. However, later physicists have found that this factor can be slightly deviated from 2 (i.e., the problem of…

High Energy Physics - Phenomenology · Physics 2024-01-17 Jing-Ling Chen , Xing-Yan Fan , Xiang-Ru Xie

We consider a bound system of particles interacting via electromagnetic forces in an external electromagnetic field, including leading relativistic corrections. Each particle has a definite mass, charge, spin, and charge radius. We…

Atomic Physics · Physics 2015-06-22 Albert Wienczek , Mariusz Puchalski , Krzysztof Pachucki

The fully relativistic theory of the g factor of Li-like ions with nonzero nuclear spin is considered for the (1s)^2 2s state. The magnetic-dipole hyperfine-interaction correction to the atomic g factor is calculated including the…

Atomic Physics · Physics 2009-11-13 D. L. Moskovkin , V. M. Shabaev , W. Quint

According to a prevailing opinion, the electron g-factor ge = 2 is exclusively a quantum feature. Here we demonstrate it could be explained classically only in relativistic terms. The electron is treated as an extended, continuous, but…

Classical Physics · Physics 2018-06-07 Jaromir Chalupsky

We considered a charged quantum mechanical particle with spin ${1\over 2}$ and gyromagnetic ratio $g\ne 2$ in the field af a magnetic string. Whereas the interaction of the charge with the string is the well kown Aharonov-Bohm effect and…

High Energy Physics - Theory · Physics 2009-10-22 M. Bordag , S. Voropaev

Within a systematic approach based on the dimensionally regularized nonrelativistic quantum electrodynamics, we derive the complete result for the two-loop correction to order $(\alpha/\pi)^2 (Z \alpha)^4$ for the $g$ factor of an electron…

The Proca-Corben-Schwinger equations for a spin-1 particle with an anomalous magnetic moment are added by a term describing an electric dipole moment, then they are reduced to a Hamiltonian form, and finally they are brought to the…

High Energy Physics - Phenomenology · Physics 2013-04-26 Alexander J. Silenko

Tensor 50-component form of the first order relativistic wave equation for a particle with spin 2 and anomalous magnetic moment is extended to the case of an arbitrary curved space-time geometry. An additional parameter considered in the…

Mathematical Physics · Physics 2011-09-09 V. V. Kisel , E. M. Ovsiyuk , V. M. Red'kov

We investigate relativistic quantum mechanics (RQM) for particles with arbitrary magnetic moment. We compare two well known RQM models: a) Dirac equation supplemented with an incremental Pauli term (DP); b) Klein-Gordon equations with full…

High Energy Physics - Phenomenology · Physics 2019-03-26 Andrew Steinmetz , Martin Formanek , Johann Rafelski

Magnetic excitations are studied in gapped quantum spin systems, for which spontaneous two-magnon decays are allowed by symmetry. Interaction between one- and two-particle states acquires nonanalytic frequency and momentum dependence near…

Strongly Correlated Electrons · Physics 2007-05-23 M. E. Zhitomirsky

The magnetic moment of the proton is calculated using a geometric unified theory. The geometry determines a generalized Pauli equation showing anomalous terms due to the triplet proton structure. The theoretical result gives a bare…

General Physics · Physics 2007-05-23 Gustavo R. Gonzalez-Martin , Ignacio J. Taboada , Javier G. Gonzalez

The accurate determination of atomic masses and the high-precision measurement of the bound-electron g factor are prerequisites for the determination of the electron mass, which is one of the fundamental constants of nature. In the 2002…

Atomic Physics · Physics 2007-05-23 U. D. Jentschura , A. Czarnecki , K. Pachucki , V. A. Yerokhin

We present a magneto-photoluminescence study of individual vertically stacked InAs/GaAs quantum dot pairs separated by thin tunnel barriers. As an applied electric field tunes the relative energies of the two dots, we observe a strong…

We analyze orbital effects of an in-plane magnetic field on the spin structure of states of a gated quantum dot based in a two-dimensional electron gas. Starting with a $k \cdot p$ Hamiltonian, we perturbatively calculate these effects for…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 Peter Stano , Chen-Hsuan Hsu , Marcel Serina , Leon C. Camenzind , Dominik M. Zumbühl , Daniel Loss

The relativistic equivalent of the Schr\"odinger equation for a two particle bound state having the total angular momentum $S$ is written in the form of a Lorentz covariant set of equations (p_1^mu+p_2^mu+Omega^mu)Psi(p_1,p_2;P)…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. Micu
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