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Formulas and expectation values which are need to determine the lowest-order QED corrections ($\sim \alpha^3$) and corresponding recoil (or finite mass) corrections in the two-electron helium-like ions are presented. Other important…

Atomic Physics · Physics 2015-09-22 Alexei M. Frolov

We consider the Schr\"odinger-Poisson-Newton equations for finite crystals under periodic boundary conditions with one ion per cell of a lattice. The electrons are described by one-particle Schr\"odinger equation. Our main results are i)…

Analysis of PDEs · Mathematics 2018-08-31 Alexander Komech , Elena Kopylova

A simple expression for a ground state energy for a two-electron atom is derived. For this, assumption based upon the Niels Bohr ''old'' quantum mechanics idea about electron correlation in a two-electron atom is exploited. Results are…

Quantum Physics · Physics 2007-05-23 M. Auzinsh , R. Damburg

Ionization of highly charged relativistic ions by neutral atoms and ions is considered. Numerical results of recently developed computer codes based on the relativistic Born and the equivalent-photon approximations are presented. The…

Atomic Physics · Physics 2013-05-29 G. Baur , I. L. Beigman , V. P Shevelko , I. Yu. Tolstikhina , Th. Stoehlker

We investigate the equilibrium behaviour of a superconducting circuit QED system containing a large number of artificial atoms. It is shown that the currently accepted standard description of circuit QED via an effective model fails in an…

Mesoscale and Nanoscale Physics · Physics 2011-09-20 Oliver Viehmann , Jan von Delft , Florian Marquardt

We provide a physically motivated definition for the binding energy (or bond-dissociation) of a bipartite quantum system. We consider coherently applying an external field to cancel out the interaction between the subsystems, to break their…

Quantum Physics · Physics 2020-01-15 M. Afsary , M. Bathaee , F. Bakhshinezhad , A. T. Rezakhani , A. Bahrampour

The derivation of leading quantum electrodynamic corrections to the nuclear magnetic shielding in light hydrogen- and helium-like atomic systems is described in detail. The presented theoretical approach applies to any light atomic and…

Atomic Physics · Physics 2022-04-06 Dominik Wehrli , Mariusz Puchalski , Krzysztof Pachucki

Integrability of electron dynamics in one dimension is manifested by the non-equilibrium stationary states. They emerge near a point contact coupling two quantum Hall edges with different chemical potentials. I use the non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 Ivan P. Levkivskyi

Nonlinear electrodynamics, QED included, is considered against the Lorentz-noninvariant external field background, treated as an anisotropic medium. Hamiltonian formalism is applied to electromagnetic excitations over the background, and…

High Energy Physics - Theory · Physics 2013-01-14 Selym Villalba-Chavez , Anatoly E. Shabad

Electrons trapped above the surface of helium provide a means to study many-body physics free from the randomness that comes from defects in other condensed-matter systems. Localizing an electron in an electrostatic quantum dot makes its…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 M. I. Dykman , J. Pollanen

Isolated electrons resting above a helium surface are predicted to have a bound spectrum corresponding to a one-dimensional hydrogen atom. But in fact, the observed spectrum is closer to that of a quantum-defect atom. Such a model is…

Quantum Physics · Physics 2009-10-31 Michael Martin Nieto

The analysis of correlation energy of the simplest first approximation of a variational method for the intrashell states of two-electron atoms is the purpose of the present work. This method allows to divide energy of atom on Coulomb and…

Atomic Physics · Physics 2008-10-23 V. V. Kavera

We calculate the binding energies for multi-nucleon bound states with the nuclear mass number less than or equal to 4 in 2+1 flavor QCD at the lattice spacing of a = 0.09 fm employing a relatively heavy quark mass corresponding to m_pi =…

High Energy Physics - Lattice · Physics 2015-06-05 Takeshi Yamazaki , Ken-ichi Ishikawa , Yoshinobu Kuramashi , Akira Ukawa

The tight binding model is a minimal electronic structure model for molecular modelling and simulation. We show that the total energy in this model can be decomposed into site energies, that is, into contributions from each atomic site…

Numerical Analysis · Mathematics 2015-06-19 Huajie Chen , Christoph Ortner

A new relativistic method for calculation of positron binding to atoms is presented. The method combines a configuration interaction treatment of the valence electron and the positron with a many-body perturbation theory description of…

Atomic Physics · Physics 2009-10-31 V. A. Dzuba , V. V. Flambaum , G. F. Gribakin , C. Harabati

The Hartree-Fock states of the many-electron atomic system can be unstable with respect to a static or dynamic shift of the electron shells. An appropriate non-rigid shell model for atomic clusters is developed. It permits to formulate a…

Strongly Correlated Electrons · Physics 2009-10-30 A. S. Moskvin , V. A. Korotaev , Yu. D. Panov , M. A. Sidorov

We develop a non-relativistic quantum field theory of electrons and nuclei based on the Coulomb Hamiltonian. We derive the exact equations of motion and write these equations in the form of Hedin's equations for all species of identical…

Quantum Physics · Physics 2024-12-12 Ville J. Härkönen

Recent experiments on the laser-induced resonant annihilation provide a precise measurement of transition energies of antiprotonic helium atoms. Relativistic corrections of an order of $\alpha ^2$ to the pure Coulomb interaction will be…

Nuclear Theory · Physics 2007-05-23 O. I. Kartavtsev

Ab initio QED calculations of the four x-ray transitions from the $L$ to $K$ shell in heliumlike argon, titanium, iron, copper, and krypton are performed. The binding energies for all the $n=1$ and $n=2$ states are evaluated as well. The…

Atomic Physics · Physics 2019-01-23 A. V. Malyshev , Y. S. Kozhedub , D. A. Glazov , I. I. Tupitsyn , V. M. Shabaev

We investigate the self-energy of one electron coupled to a quantized radiation field by extending the ideas developed recently by C. Hainzl. We fix an arbitrary cut-off parameter Lambda and recover the alpha^2-term of the self-energy,…

Mathematical Physics · Physics 2007-05-23 I. Catto , Ch. Hainzl