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We construct canonical transformations to obtain a complete and most economical realization of the physical Hilbert space ${\cal H}^p$ of pure $SU(2)_{2+1}$ lattice gauge theory in terms of Wigner coupled Hilbert spaces of hydrogen atoms.…

高能物理 - 格点 · 物理学 2015-08-27 Manu Mathur , T. P. Sreeraj

Inner-shell electrons naturally sense the electric field close to the nucleus, which can reach extreme values beyond $10^{15}\,\text{V}/\text{cm}$ for the innermost electrons. Especially in few-electron highly charged ions, the interaction…

We present the results of the light-shift calculations in the ns-states of hydrogenicsystems in the presence of a weak laser field. This is done by means of analytical calculations of the scalar dynamic polarizabilities (DP) of the…

原子物理 · 物理学 2016-08-15 Viktor Yakhontov , Klaus Jungmann

We consider the two-photon exchange contribution to the $2P-2S$ Lamb shift in muonic deuterium in the framework of forward dispersion relations. The dispersion integrals are evaluated using experimental data on elastic deuteron form factors…

核理论 · 物理学 2014-02-05 Carl E. Carlson , Mikhail Gorchtein , Marc Vanderhaeghen

We calculate the shift in the atomic energy levels induced by the presence of a scalar field which couples to matter and photons. We find that a combination of atomic measurements can be used to probe both these couplings independently. A…

高能物理 - 唯象学 · 物理学 2011-03-23 Philippe Brax , Clare Burrage

In this work, we present an exact analysis of two-dimensional noncommutative hydrogen atom. In this study, it is used the Levi-Civita transformation to perform the solution of the noncommutative Schr\"odinger equation for Coulomb potential.…

高能物理 - 理论 · 物理学 2023-10-23 Beatriz Wang , Emanuel Brenag , Ronni Amorim , Vinicius Rispoli , Sergio Ulhoa

We derive Bethe's formula for the Lamb shift by extending Feynman's suggestion that the shift could be interpreted as the change, due to the presence of the atom, in electromagnetic field energy. This approach is based on measurable…

量子物理 · 物理学 2025-04-09 Peter W. Milonni , Paul R. Berman , Kanu Sinha

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…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Juergen Audretsch , Rainer Mueller

In this note we address the exact solutions of a time-dependent Hamiltonian composed by an oscillator-like interaction with both a frequency and a mass term that depend on time. The latter is achieved by constructing the appropriate point…

量子物理 · 物理学 2020-02-26 Kevin Zelaya , Véronique Hussin

We consider corrections to the Lamb shift of p-wave atomic states due to the finite nuclear size (FNS). In other words, these are radiative corrections to the atomic isotop shift related to FNS. It is shown that the structure of the…

原子物理 · 物理学 2009-11-07 A. I. Milstein , O. P. Sushkov , I. S. Terekhov

The new approach for calculation of transition form factors of hydrogenlike atoms is proposed. The explicit expressions for form factors of transitions from bound $nS$-states to continuum in terms of the classical polynomials are derived

高能物理 - 唯象学 · 物理学 2007-05-23 O. Voskresenskaya

We study the Hydrogen atom as a quantum mechanical system with a Coulomb like potential, with a semiclassical approach based on an effective description of quantum mechanics. This treatment allows us to describe the quantum state of the…

量子物理 · 物理学 2012-03-23 Guillermo Chacón-Acosta , Héctor H. Hernández

We study the counterpart to the multi-photon down conversion in the quantised motion of a trapped atom. The Lamb-Dicke approximation leads to a divergence of the mean motional excitation in a finite interaction time for k-quantum down…

量子物理 · 物理学 2016-09-08 S. Wallentowitz , W. Vogel , P. L. Knight

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 uncertainty in the contribution to the Lamb shift in muonic hydrogen, $\Delta E^{subt}$ arising from proton polarizability effects in the two-photon exchange diagram at large virtual photon momenta is shown large enough to account for…

核理论 · 物理学 2015-06-11 Gerald A. Miller

The electron Lamb shift $(2P-2S)$ and the energy interval $(2S-1S)$ in muon-electron ions of lithium, beryllium, and boron have been calculated within the framework of the perturbation theory method for the fine structure constant and the…

原子物理 · 物理学 2021-05-19 A. E. Dorokhov , V. I. Korobov , A. P. Martynenko , F. A. Martynenko

A system of two fermions with different masses and interacting by the Coulomb potential is presented in a completely covariant framework. The spin-spin interaction, including the anomalous magnetic moments of the two fermions, is added by…

高能物理 - 唯象学 · 物理学 2015-06-22 A. Barducci , R. Giachetti , E. Sorace

The measurement of the Lamb shift in muonic hydrogen and the subsequent emergence of the proton-radius puzzle have motivated an experimental campaign devoted to measuring the Lamb shift in other light muonic atoms, such as muonic deuterium…

核理论 · 物理学 2018-08-29 Chen Ji , Sonia Bacca , Nir Barnea , Oscar Javier Hernandez , Nir Nevo-Dinur

We describe a method for deriving logarithmic corrections in the mass ratio to the S-level of a hydrogen-like atom. With this method, a number of new corrections of this type are calculated analitically for the first time.

高能物理 - 唯象学 · 物理学 2007-05-23 N. A. Boikova , Y. N. Tyukhtyaev , R. N. Faustov

We develop a method for lattice QCD calculation of the two-photon exchange (TPE) contribution to the muonic-hydrogen Lamb shift. To demonstrate the feasibility of this method, we also present an exploratory study with a gauge ensemble at…

高能物理 - 格点 · 物理学 2022-04-15 Yang Fu