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The quadrupole moment of a hydrogen atom in a magnetic field for field strengths from 0 to 4.414e13 G is calculated by two different methods. The first method is variational, and based on a single trial function. The second method deals…

原子物理 · 物理学 2007-05-23 A. Y. Potekhin , A. V. Turbiner

The first order perturbations of the energy levels of a hydrogen atom in central internal gravitational field are investigated. The internal gravitational field is produced by the mass of the atomic nucleus. The energy shifts are calculated…

广义相对论与量子宇宙学 · 物理学 2009-03-19 Zhen-Hua Zhao , Yu-Xiao Liu , Xi-Guo Li

The states of hydrogen atom with principal quantum number $n\le3$ and zero magnetic quantum number in constant homogeneous magnetic field ${\cal H}$ are considered. The coefficients of energy eigenvalues expansion up to 75th order in powers…

原子物理 · 物理学 2015-08-06 V. A. Gani , A. E. Kudryavtsev , V. M. Weinberg

We study multipole expansion of the momentum currents in hadrons, with three series $S^{(J)}$, $\tilde T^{(J)}$, and $T^{(J)}$, in connection with the gravitational fields generated nearby. The momentum currents are related to their…

高能物理 - 唯象学 · 物理学 2022-09-14 Xiangdong Ji , Yizhuang Liu

The first order perturbations of the energy levels of a stationary hydrogen atom in static external gravitational field, with Schwarzschild metric, are investigated. The energy shifts are calculated for the relativistic 1S, 2S, 2P, 3S, 3P,…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Zhen-Hua Zhao , Yu-Xiao Liu , Xi-Guo Li

We derive the gravitational energy momentum tensor $\tau^{\eta}_{\alpha}$ for a general Lagrangian of any order $L=L\left(g_{\mu\nu}, g_{\mu\nu,i_{1}}, g_{\mu\nu,i_{1}i_{2}},g_{\mu\nu,i_{1}i_{2}i_{3}},\cdots, g_{\mu\nu,i_{1}i_{2}i_{3}\cdots…

广义相对论与量子宇宙学 · 物理学 2017-05-24 S. Capozziello , M. Capriolo , M. Transirico

The shielding of the nuclear magnetic moment by the bound electron in hydrogen-like ions is calculated ab initio with inclusion of relativistic, nuclear, and quantum electrodynamics (QED) effects. The QED correction is evaluated to all…

原子物理 · 物理学 2015-05-28 V. A. Yerokhin , K. Pachucki , Z. Harman , C. H. Keitel

In the context of a gauge theory for the translation group, a conserved energy-momentum gauge current for the gravitational field is obtained. It is a true spacetime and gauge tensor, and transforms covariantly under global Lorentz…

广义相对论与量子宇宙学 · 物理学 2009-10-31 V. C. de Andrade , L. C. T. Guillen , J. G. Pereira

When the hydrogen atom moves, the proton current generates a magnetic field which interacts with the hydrogen electron. A simple analyze shows that this interaction between the hydrogen momentum and the electron is of order of…

原子物理 · 物理学 2018-08-29 A. I. Agafonov

The hydrogen atom is investigated, within a pseudo-complex extension of the coordinates and momenta, which introduces a minimal length scale (l) and results into a non-commutative Quantum Mechanics. After resuming the pseudo-complex…

量子物理 · 物理学 2021-11-30 Peter O Hess

We compute the next-to-leading order (NLO) hard correction to the gluon self-energy tensor with arbitrary soft momenta in a hot and/or dense weakly coupled plasma in Quantum Chromodynamics. Our diagrammatic computations of the two-loop and…

高能物理 - 唯象学 · 物理学 2023-11-14 Tyler Gorda , Risto Paatelainen , Saga Säppi , Kaapo Seppänen

We consider the so-called semiclassical variant of general relativity, where gravitational field is not quantized but matter is quantized, for the simplest composite quantum body - a hydrogen atom. We create a stationary electron quantum…

广义相对论与量子宇宙学 · 物理学 2019-03-11 Andrei G. Lebed

In the context of the teleparallel equivalent of general relativity, we show that the energy-momentum density for the gravitational field can be described by a true spacetime tensor. It is also invariant under local (gauge) translations of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 V. C. de Andrade , L. C. T. Guillen , J. G. Pereira

We report an ab initio calculation of the shielding of the nuclear magnetic moment by the bound electron in hydrogen-like ions. This investigation takes into account several effects that have not been calculated before (electron…

原子物理 · 物理学 2015-06-04 V. A. Yerokhin , K. Pachucki , Z. Harman , C. H. Keitel

As a realistic model of a quantum system of matter, this paper investigates the gravitational-wave effects on a hydrogen-like atom. By formulating the tetrad formalism of linearized gravity, we naturally incorporate the gravitational-wave…

广义相对论与量子宇宙学 · 物理学 2024-10-24 Bo-Hung Chen , Dah-Wei Chiou

The problem of the energy-momentum conservation for matter in the gravitational field is discussed on the example of the effective gravity, which arises in superfluids. The "gravitational" field experienced by the relativistic-like massless…

广义相对论与量子宇宙学 · 物理学 2007-05-23 G. E. Volovik

Up to the third post-Newtonian (3PN) order, we compute (i) the current-type quadrupole moment of (non-spinning) compact binary systems, as well as (ii) the corresponding gravitational-wave mode $(2,1)$ (constituting a 3.5PN correction in…

广义相对论与量子宇宙学 · 物理学 2021-09-22 Quentin Henry , Guillaume Faye , Luc Blanchet

By embedding Einstein's original formulation of GR into a broader context we show that a dynamic covariant description of gravitational stress-energy emerges naturally from a variational principle. A tensor $T^G$ is constructed from a…

高能物理 - 理论 · 物理学 2009-11-10 T. Dereli , R. W. Tucker

The gravitomagnetic tidal Love number of a slowly rotating body was calculated previously under the assumption that the velocity perturbation created by the tidal field consists of an induction piece proportional to the vector potential,…

广义相对论与量子宇宙学 · 物理学 2020-09-30 Eric Poisson

The Lorentz contraction of bound states in field theory is often appealed to in qualitative descriptions of high energy particle collisions. Surprisingly, the contraction has not been demonstrated explicitly even in simple cases such as the…

高能物理 - 唯象学 · 物理学 2009-11-10 M. Jarvinen
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