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The solution of Dirac's equation for the hydrogen atom according to relativistic wave mechanics yields for each state a vectorial amplitude function with four components, two large and two small. Each such component has its characteristic…

General Physics · Physics 2020-06-29 J. F. Ogilvie

We compute correlation functions for one-dimensional electron systems which spin and charge degrees of freedom are coupled through spin-orbit coupling. Charge density waves, spin density waves, singlet- triplet- superconducting fluctuations…

Strongly Correlated Electrons · Physics 2016-08-16 Aníbal Iucci

The largest hyperfine interaction coefficients in the hydrogen molecular ion HD$^+$, i.e. the electron-proton and electron-deuteron spin-spin scalar interactions, are calculated with estimated uncertainties slightly below 1~ppm. The…

The electronic and magnetic structures of $ {\rm ScFe_2} $ and of its dihydride $ {\rm ScFe_2H_2} $ are self-consistently calculated within the density functional theory (DFT) using the all electron augmented spherical wave (ASW) method…

Materials Science · Physics 2008-04-17 A. F. Al Alam , S. F. Matar , N. Ouaini , M. Nakhl

A new class of analytic wave functions is derived for two dimensional N-electron (2 <= N < infinity) systems in high magnetic fields. These functions are constructed through breaking (at the Hartree-Fock level) and subsequent restoration…

Mesoscale and Nanoscale Physics · Physics 2008-12-18 Constantine Yannouleas , Uzi Landman

The effective electron-electron interaction in the electron gas depends on both the density and spin local field factors. Variational Diagrammatic Quantum Monte Carlo calculations of the spin local field factor are reported and used to…

Quantum Gases · Physics 2021-01-27 Carl A. Kukkonen , Kun Chen

We analyze the ponderomotive action experienced by a small spherical particle immersed in an optical field, in relation to the internal energy flows (optical currents) and their spin and orbital constituents. The problem is studied…

Optics · Physics 2023-11-02 Aleksandr Bekshaev

We analyse a path to construct density functionals for the dispersion interaction energy from an expression in terms of the ground state densities and exchange-correlation holes of the isolated fragments. The expression is based on a…

Chemical Physics · Physics 2021-01-27 Derk P. Kooi , Paola Gori-Giorgi

We investigate the effect of hyperfine interactions on ultracold molecular collisions in magnetic fields, using ^{24}Mg(^1S) + ^{14}NH(^3Sigma^-) as a prototype system. We explore the energy and magnetic field dependence of the cross…

Chemical Physics · Physics 2013-05-10 Maykel L. González-Martínez , Jeremy M. Hutson

We derive an exact expression for the orbital magnetization of electrons with short-range interactions (such as density-density interactions) in terms of exact zero-frequency response functions of the zero-field system. The result applies…

Strongly Correlated Electrons · Physics 2026-02-03 Xi Chen , Zhi-Da Song

Hyperfine-structure constants of odd Ra$^{+}$ due to the interactions of nuclear magnetic dipole, electric quadrupole, and magnetic octupole moments with the electrons are investigated in the framework of relativistic coupled-cluster method…

Atomic Physics · Physics 2021-03-16 Fei-Chen Li , Yong-Bo Tang , Hao-Xue Qiao , Ting-Yun Shi

An electronically variational approach to the calculation of atomic hyperfine structure transition energies under the influence of static external electric fields is presented. The method avoids the calculation of intermediate atomic states…

Atomic Physics · Physics 2025-08-29 Timo Fleig

We obtain the equations that define the equilibrium of a homogeneous relativistic gas of neutrons, protons and electrons in a constant magnetic field as applied to the conditions that probably occur near the center of neutron stars. We…

Statistical Mechanics · Physics 2009-10-28 Choon-Lin Ho , V. R. Kahlilov , Chi Yang

We report the results of a set of simulations of small arrays of submicron ferromagnetic particles. The actions of dipolar and exchange interactions were qualitatively investigated by analysing the ferromagnetic resonance spectra at 9.37…

Materials Science · Physics 2009-11-13 Christine C. Dantas , Luiz A. de Andrade

When a gravitating point mass moves subsonically through a magnetized and isothermal medium, the dynamical structure of the flow is studied far from the mass using a perturbation analysis. Analytical solutions for the first-order density…

Astrophysics of Galaxies · Physics 2015-06-05 Mohsen Shadmehri , Fazeleh Khajenabi

The electromagnetic interactions of electrons and muons can be described to very high accuracy within the framework of standard theory, in particular within the hydrogen-like muonium atom. Therefore precision measurements allow to test…

Atomic Physics · Physics 2016-09-08 Klaus Jungmann

Collisionless plasma systems are often studied using fully kinetic simulations, where protons and electrons are treated as particles. Due to their computational expense, it is necessary to reduce the ion-to-electron mass ratio $m_i/m_e$ or…

Plasma Physics · Physics 2024-11-28 J. Ng , J. Yoo , L. -J. Chen , N. Bessho , H. Ji

We study the theoretical foundations for the pressure shifts in high-precision atomic beam spectrosopy of hydrogen, with a particular emphasis on transitions involving higher excited P states. In particular, the long-range interaction of an…

Atomic Physics · Physics 2019-05-01 U. D. Jentschura , C. M. Adhikari , R. Dawes , A. Matveev , N. Kolachevsky

We present a new method for computing the wave function in the presence of constraints. As an explicit example we compute the wave function for the many electrons problem in coupled metallic rings in the presence of external magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 D. Schmeltzer

In heavy atoms and ions, nuclear structure effects are significantly enhanced due to the overlap of the electron wave functions with the nucleus. This overlap rapidly increases with the nuclear charge $Z$. We study the energy level shifts…

Atomic Physics · Physics 2021-03-17 V. V. Flambaum , I. B. Samsonov , H. B. Tran Tan , A. V. Viatkina
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