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Equation of state for partially ionized carbon at temperatures T > ~ 10^5 K is calculated in a wide range of densities, using the method of free energy minimization in the framework of the chemical picture of plasmas. The free energy model…

Plasma Physics · Physics 2007-05-23 A. Y. Potekhin , G. Massacrier , G. Chabrier

A model is proposed for the classical electron as a point charge with finite electromagnetic self-energy. Modifications of the Reissner-Nordstr{\o}m (spin 0) and Kerr-Newman (spin 1/2) solutions of the Einstein-Maxwell equations are…

Mathematical Physics · Physics 2014-11-18 S. M. Blinder

Energy levels of the $1sns$ and $1snp$ states of ions along the helium isoelectronic sequence from carbon to uranium are calculated, with $n=3$-$7$. The computation is performed within the relativistic configuration-interaction method,…

Atomic Physics · Physics 2019-08-30 V. A. Yerokhin , A. Surzhykov

The current discrepancy of theory and experiment observed recently in muonic hydrogen necessitates a reinvestigation of all corrections to contribute to the Lamb shift in muonic hydrogen muH, muonic deuterium muD, the muonic 3He ion, as…

Atomic Physics · Physics 2012-07-03 U. D. Jentschura , B. J. Wundt

We develop a general theory of electric polarization induced by inhomogeneity in crystals. We show that contributions to polarization can be classified in powers of the gradient of the order parameter. The zeroth order contribution reduces…

Mesoscale and Nanoscale Physics · Physics 2007-11-13 Di Xiao , Junren Shi , Dennis P. Clougherty , Qian Niu

The method proposed by Kinoshita and Nio to compute higher order vacuum polarization contributions to the Coulomb potential in muonic hydrogen is generalized to obtain relativistic corrections to their results.

High Energy Physics - Phenomenology · Physics 2018-09-12 Wayne W. Repko

We develop a method to compute the vacuum polarization energy for coupled scalar fields with different masses scattering off a background potential in one space dimension. As an example we consider the vacuum polarization energy of a…

High Energy Physics - Theory · Physics 2018-03-16 H. Weigel , M. Quandt , N. Graham

We illuminate the importance of a self-consistent many-body treatment in calculations of vacuum polarization corrections to the energies of atomic orbitals in many-electron atoms. Including vacuum polarization in the atomic Hamiltonian…

Atomic Physics · Physics 2009-11-10 Andrei Derevianko , Boris Ravaine , W. R. Johnson

Scattering methods make it possible to compute the effects of renormalized quantum fluctuations on classical field configurations. As a classic example of a topologically nontrivial classical solution, the Abrikosov-Nielsen-Olesen vortex in…

High Energy Physics - Theory · Physics 2024-01-25 N. Graham , H. Weigel

We argue that the vacuum polarization by the virtual electron-positron pairs can be measured by studying a Josephson junction in a strong magnetic field. The vacuum polarization results in a weak dependence of the Josephson constant on the…

Superconductivity · Physics 2014-11-20 A. A. Penin

We study hydrogen plasmas at magnetic fields B ~ 10^{12}-10^{13} Gauss, densities ~ 10^{-3}-10^3 g/cc and temperatures T ~ 10^{5.5}-10^{6.5} K, typical of photospheres of middle-aged cooling neutron stars. We construct an analytical free…

Plasma Physics · Physics 2009-10-31 A. Y. Potekhin , G. Chabrier , Yu. A. Shibanov , J. Ventura

The \textsc{Greens} library is presented which provides a set of C++ procedures for the computation of the (radial) Coulomb wave and Green's functions. Both, the nonrelativistic as well as relativistic representations of these functions are…

Atomic Physics · Physics 2008-02-06 Peter Koval , Stephan Fritzsche

Exact density functionals for the exchange and correlation energies are approximated in practical calculations for the ground-state electronic structure of a many-electron system. An important exact constraint for the construction of…

The QED vacuum polarization function is calculated to O(alpha^2) (next-to-leading order) accuracy in the threshold regime by using the concept of effective field theories to resum diagrams with the instantaneous Coulomb exchange of…

High Energy Physics - Phenomenology · Physics 2016-08-25 A. H. Hoang

Relativistic dipolar to hexadecapolar polarizabilities of the ground state and some excited states of hydrogenic atoms are calculated by using numerically exact energies and wave functions obtained from the Dirac equation with the…

Atomic Physics · Physics 2016-04-27 Livio Filippin , Michel Godefroid , Daniel Baye

The static and dynamic electric multipolar polarizabilities and second hyperpolarizabilities of the H$_2^+$, D$_2^+$, and HD$^+$ molecular ions in the ground and first excited states are calculated nonrelativistically using explicitly…

Atomic Physics · Physics 2014-09-23 Li-Yan Tang , Zong-Chao Yan , Ting-Yun Shi , James F. Babb

By performing an ensemble of molecular dynamics simulations, the model-dependent ionisation state is computed for strongly interacting systems self-consistently. This is accomplished through a free energy minimisation framework based on the…

In this work, we investigate the magnetic properties of the quantum vacuum in the context of QED. We calculate the quantum relativistic correction of virtual particle--anti-particle pair creation to the field of a classical point-like…

High Energy Physics - Phenomenology · Physics 2026-05-07 T. Azevedo , F. A. Barone , C. Farina , R. de Melo e Souza , G. Zarpelon

The Hartree-Fock-Rothaan equations are solved for He-like ions using the iterative self-consistent method. New complete and orthonormal sets of exponential-type orbitals are employed as the basis. These orbitals satisfy the orthonormality…

Quantum Physics · Physics 2025-06-26 A. Bagci , P. E. Hoggan

We develop precise formulation for the effects of vacuum polarization near a pointlike source with a zero-range ($\delta$-like) potential in three spatial dimensions. There are different ways of introducing $\delta$-interaction in the…

High Energy Physics - Theory · Physics 2024-05-31 Yuri V. Grats , Pavel Spirin