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Described is n-level quantum system realized in the n-dimensional ''Hilbert'' space H with the scalar product G taken as a dynamical variable. The most general Lagrangian for the wave function and G is considered. Equations of motion and…

数学物理 · 物理学 2008-05-28 Vasyl Kovalchuk , Jan Jerzy Slawianowski

We consider the lattice dynamics in the half-space. The initial data are random according to a probability measure which enforces slow spatial variation on the linear scale $\varepsilon^{-1}$. We establish two time regimes. For times of…

数学物理 · 物理学 2015-05-13 T. V. Dudnikova

The counterpart of the rotating wave approximation for non-Hermitian Hamiltonians is considered, which allows for the derivation of a suitable effective Hamiltonian for systems with some states undergoing decays. In the limit of very high…

量子物理 · 物理学 2021-08-04 Benedetto Militello , Anna Napoli

A simple model of an atom interacting with the quantized electromagnetic field is studied. The atom has a finite mass $m$, finitely many excited states and an electric dipole moment, $\vec{d}_0 = -\lambda_{0} \vec{d}$, where $\| d^{i}\| =…

数学物理 · 物理学 2015-05-20 Miguel Ballesteros , Jérémy Faupin , Jürg Fröhlich , Baptiste Schubnel

The contribution of hadronic vacuum polarization to the Lamb shift in muonic hydrogen is evaluated with the account of modern experimental data on the cross section of $e^+e^-$ annihilation into hadrons. The numerical value of this…

高能物理 - 唯象学 · 物理学 2011-04-15 R. N. Faustov , A. P. Martynenko

There are considered some corollaries of certain hypotheses on the observation process of microphenomena. We show that an enlargement of the phase space and of its motion group and an account for the diffusion motions of microsystems in the…

量子物理 · 物理学 2007-05-23 E. M. Beniaminov

The 7 standard deviations between the proton rms charge radius from muonic hydrogen and the CODATA-10 value from hydrogen spectroscopy and electron-scattering has caused considerable discussions. Here, we review the theory of the 2S-2P Lamb…

We present an ab initio method of calculation of isotope shift and relativistic shift in atoms with a few valence electrons. It is based on an energy calculation involving combination of the configuration interaction method and many-body…

原子物理 · 物理学 2009-08-18 J. C. Berengut , V. V. Flambaum , M. G. Kozlov

Using finite size scaling and histogram methods we obtain numerical results from lattice simulations indicating the logarithmic triviality of scalar quantum electrodynamics, even when the bare gauge coupling is chosen large. Simulations of…

高能物理 - 格点 · 物理学 2019-08-17 M. Baig , H. Fort , S. Kim , J. B. Kogut , D. K. Sinclair

We describe a simple dynamical model characterized by the presence of two noncommuting Hamiltonian constraints. This feature mimics the constraint structure of general relativity, where there is one Hamiltonian constraint associated with…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Merced Montesinos , Carlo Rovelli , Thomas Thiemann

We describe the calculation of hydrogenic (one-loop) Bethe logarithms for all states with principal quantum numbers n <= 200. While, in principle, the calculation of the Bethe logarithm is a rather easy computational problem involving only…

量子物理 · 物理学 2007-05-23 Ulrich D. Jentschura , Peter J. Mohr

Proton structure effects in hydrogenic bound states are analyzed using nonrelativistic QED effective field theory. Implications for the Lamb shift in muonic hydrogen are discussed. Model-dependent assumptions in previous analyses are…

高能物理 - 唯象学 · 物理学 2013-05-29 Richard J. Hill , Gil Paz

The QCD beta-function and the anomalous dimensions for the Coulomb potential and the static potential first differ at three loop order. We evaluate the three loop ultrasoft anomalous dimension for the Coulomb potential and give the complete…

高能物理 - 唯象学 · 物理学 2008-11-26 Andre H. Hoang , Aneesh V. Manohar , Iain W. Stewart

We report direct, time-resolved observations of single-photon superradiance in a highly extended, elliptical sample of cold 87Rb atoms. The observed rapid decay rate is accompanied by its counterpart, the cooperative Lamb shift. The rate of…

原子物理 · 物理学 2016-08-17 S. J. Roof , K. J. Kemp , M. D. Havey , I. M. Sokolov

The excitation of H ($1s-2s$) by electron impact in the presence and in the absence of the laser field is studied in the framework of the first Born approximation. The angular variation of the laser-assisted differential cross section (DCS)…

原子物理 · 物理学 2012-12-09 S. Taj , B. Manaut , M. El Idrissi , L. Oufni

If a quantum system interacts with the environment, then the Hamiltonian acquires a correction known as the Lamb-shift term. There are two other corrections to the Hamiltonian, related to the stationary state. Namely, the stationary state…

量子物理 · 物理学 2025-01-28 Marcin Łobejko , Marek Winczewski , Gerardo Suárez , Robert Alicki , Michał Horodecki

We report precision measurement of aluminum atoms ${^{2}P_{1/2}}-{^{2}S_{1/2}}$ transition at 394 nm and ${^{2}P_{3/2}}-{^{2}S_{1/2}}$ transition at 396 nm in a hollow-cathode lamp (HCL). Both absorption spectroscopy and saturated…

原子物理 · 物理学 2018-11-14 Hongli Liu , Wenhao Yuan , Zetian Xu , Ke Deng , Zehuang Lu

On the basis of recent precise measurements of the electric form factor of the proton, the Zemach moments, needed as input parameters for the determination of the proton rms radius from the measurement of the Lamb shift in muonic hydrogen,…

核理论 · 物理学 2011-02-03 Michael O. Distler , Jan C. Bernauer , Thomas Walcher

We consider hydrogen-like atoms in unstable levels of principal quantum number n=2, confined to a finite size region in a non-homogeneous electric field carrying handedness. The interplay between the internal degrees of freedom of the atoms…

高能物理 - 唯象学 · 物理学 2009-10-30 D. Bruss , T. Gasenzer , O. Nachtmann
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