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Collisionless magnetic reconnection is a prime candidate to account for flare-like or steady emission, outflow launching, or plasma heating, in a variety of high-energy astrophysical objects, including ones with relativistic ion-electron…

High Energy Astrophysical Phenomena · Physics 2014-11-05 Mickaël Melzani , Rolf Walder , Doris Folini , Christophe Winisdoerffer , Jean M. Favre

We examine the entanglement in the ground states of helium and helium-like ions using an original Hylleraas expansion. The von Neumann and linear entropies of the reduced density matrix are accurately computed by performing the Schmidt…

Quantum Physics · Physics 2020-01-08 Przemyslaw Koscik , Anna Okopinska

We present 3D simulations of semirelativistic collisionless magnetic reconnection, where upstream ions are subrelativistic while electrons are ultrarelativistic. We employ the realistic proton-to-electron mass ratio and explore a range of…

High Energy Astrophysical Phenomena · Physics 2025-09-03 Fabio Bacchini , Gregory R. Werner , Camille Granier , Jesse Vos

The interaction energy between two atoms is crucially dependent on the quantum state of the two-atom system. In this paper, it is demonstrated that a steady resonance interaction energy between two atoms exists when the atoms are in a…

Quantum Physics · Physics 2023-07-28 Jiawei Hu , Hongwei Yu

It is shown that the non-relativistic ground state energy of helium-like and lithium-like ions with static nuclei can be interpolated in full physics range of nuclear charges $Z$ with accuracy of not less than 6 decimal digits (d.d.) or 7-8…

Atomic Physics · Physics 2017-11-27 Alexander V. Turbiner , Juan C. Lopez Vieyra , Horacio Olivares Pilon

We find an exact closed-form expression for the magnetostatic interaction energy between a point magnet and a ring magnet in terms of complete elliptic integrals. The exact expression for the energy exhibits an equilibrium point close to…

Mesoscale and Nanoscale Physics · Physics 2024-04-26 Niranjan Warnakulasooriya , Dinuka H. Gallaba , John Joseph Marchetta , Duston Wetzel , Prachi Parashar , K. V. Shajesh

We investigate the electronic structure of the helium atom in a magnetic field b etween B=0 and B=100a.u. The atom is treated as a nonrelativistic system with two interactin g electrons and a fixed nucleus. Scaling laws are provided…

Atomic Physics · Physics 2009-10-31 W. Becken , P. Schmelcher , F. K. Diakonos

The energy eigenvalue problem of non-relativistic positronium is considered within the framework of Relativistic Schroedinger Theory (RST), and the results are compared to those of the conventional quantum theory. For the range of princi-…

High Energy Physics - Theory · Physics 2010-11-08 M. Mattes , M. Sorg

Quantum Electrodynamics describes electromagnetic interactions of free muons and of muon and electron in the muonium atom to very high accuracy. Contributions of other and yet unknown interactions can be investigated in precision…

High Energy Physics - Experiment · Physics 2016-08-31 K. Jungmann

Magnetic field usually leads to a polarization of electron spins. It is shown that in a system of {\em strongly interacting} particles applying magnetic field may lead to an opposite effect -- depolarization of electron spins. Results of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. A. Mikhailov , N. A. Savostianova

Energy levels are investigated for two charged particles possessing an attractive, momentum-independent, zero-range interaction in a uniform magnetic field. A transcendental equation governs the spectrum, which is characterized by a…

Nuclear Theory · Physics 2021-06-30 Johannes Kirscher , Brian C. Tiburzi

Solutions of the Schr\"odinger equation are obtained for an electron in a two-dimensional circular semiconductor quantum ring in the presence of both external uniform constant magnetic field and the Rashba and Dresselhaus spin-orbit…

Mathematical Physics · Physics 2012-12-21 V. V. Kudryashov , A. V. Baran

We consider a model of three electrons and one hole confined in a two-dimensional (2D) plane, interacting with one another through Coulomb forces. Using a Ritz variational method we find an upper bound of \approx -0.0112me^4/8\pi^2 \epsilon…

Strongly Correlated Electrons · Physics 2007-05-23 Nie Luo

Schrodinger equation with two-component wave function which describes a relativistic spin 1/2 particle in a weak electromagnetic field is obtained. In the same approximation Schrodinger equation with traditional norm condition and…

High Energy Physics - Theory · Physics 2007-05-23 L. F. Blazhyjevskii , A. Y. Marko

We review our recent progress in the determination of the high-density correlation energy $\Ec$ in two-electron systems. Several two-electron systems are considered, such as the well known helium-like ions (helium), and the Hooke's law atom…

Chemical Physics · Physics 2011-01-14 Pierre-François Loos , Peter M. W. Gill

A new lattice model of interacting electrons is presented. It can be viewed as a classical Hubbard model in which the energy associated to electron itinerance is proportional to the total number of possible electron jumps. Symmetry…

Statistical Mechanics · Physics 2009-11-11 Andre M. C. Souza

The variational method is used to study the energy levels of muonic helium $(\mu^{-} \, e^{-} \, He)$ with an electron in the ground state and a muon in an excited state with principal and orbital quantum numbers $n \sim l+1 \sim 14$. The…

High Energy Physics - Phenomenology · Physics 2026-05-01 A. V. Eskin , A. P. Martynenko , F. A. Martynenko , D. K. Pometko

The electronic structure and magnetism of chromia (corundum-type Cr2O3) are studied using full-potential first-principles calculations. The electronic correlations are included within the LSDA+U method. The energies of different magnetic…

Materials Science · Physics 2009-03-08 Siqi Shi , A. L. Wysocki , K. D. Belashchenko

Large-scale relativistic configuration-interaction method combined with many-body perturbation theory is consistently applied to calculations of the energy levels of the ground and inner-L-shell excited states of berylliumlike ions in the…

The atomic ionization processes induced by scattering of neutrinos play key roles in the experimental searches for a neutrino magnetic moment. Current experiments with reactor (anti)neutrinos employ germanium detectors having energy…

High Energy Physics - Phenomenology · Physics 2015-05-28 K. A. Kouzakov , A. I. Studenikin , M. B. Voloshin