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Within the framework of nonrelativisitic quantum electrodynamics we consider a single nucleus and $N$ electrons coupled to the radiation field. Since the total momentum $P$ is conserved, the Hamiltonian $H$ admits a fiber decomposition with…

Mathematical Physics · Physics 2007-05-23 Michael Loss , Tadahiro Miyao , Herbert Spohn

We discuss the role of the electron temperature in abundance determinations in ionized nebulae (planetary nebulae and giant HII regions). We show that, even when observations provide a direct estimate of Te, abundance determinations may…

Astrophysics · Physics 2007-05-23 Grazyna Stasinska

In [arXiv:2207.03377] the first closed formula of a faithful entanglement measure applicable to realistic electron systems has been derived. In the present work, we build on this key achievement with the ultimate goal of guiding the…

Quantum Physics · Physics 2023-12-12 Lexin Ding , Gesa Dünnweber , Christian Schilling

We present a Ginzburg-Landau theory of inhomogeneous polyelectrolytes with a polar solvent. First, we take into account the molecular (solvation) interaction among the ions, the charged monomers, the uncharged monomers, and the solvent…

Soft Condensed Matter · Physics 2009-03-10 Akira Onuki , Ryuichi Okamoto

In this review we consider those processes in condensed matter that involve the irreversible flow of energy between electrons and nuclei that follows from a system being taken out of equilibrium. We survey some of the more important…

Materials Science · Physics 2007-05-23 A. P. Horsfield , D. R. Bowler , H. Ness , C. G. Sanchez , T. N. Todorov , A. J. Fisher

The analytic equation of state of nonideal Coulomb plasmas consisting of pointlike ions immersed in a polarizable electron background (physics/9807042) is improved, and its applicability range is considerably extended. First, the fit of the…

Astrophysics · Physics 2008-11-26 A. Y. Potekhin , G. Chabrier

This paper is devoted to the homogenization (or upscaling) of a system of partial differential equations describing the non-ideal transport of a N-component electrolyte in a dilute Newtonian solvent through a rigid porous medium. Realistic…

Analysis of PDEs · Mathematics 2014-10-14 Gregoire Allaire , Robert Brizzi , Jean-Francois Dufreche , Andro Mikelic , Andrey Piatnitski

Electron is modeled as a spherically symmetric charged perfect fluid distribution of matter. The existing model is extended assuming a matter source that is characterized by quadratic EoS in the context of general theory of relativity. For…

General Relativity and Quantum Cosmology · Physics 2011-01-04 Farook Rahaman , Mubasher Jamil , Kaushik Chakraborty

The interaction of partially ionized plasmas with an electromagnetic field is investigated using quantum statistical methods. A general statistical expression for the current density of a plasma in an electromagnetic field is presented and…

Statistical Mechanics · Physics 2009-11-11 Dietrich Kremp , Dirk Semkat , Thomas Bornath , Michael Bonitz , Manfred Schlanges , Paul Hilse

We review our understanding of ionized plasma and neutral gas coupling in the weakly ionized, stratified, electromagnetically-permeated regions of the Sun's chromosphere and Earth's ionosphere/thermosphere. Using representative models for…

Solar and Stellar Astrophysics · Physics 2016-08-30 J. E. Leake , C. R. DeVore , J. P. Thayer , A. G. Burns , G. Crowley , H. R. Gilbert , J. D Huba , J. Krall , M. G. Linton , V. S. Lukin , W. Wang

Within the problem of the finding of the mean potential energy of the charged particle in the plasma in this work a classification of physical systems (electrolytes, dusty plasmas, plasmas) is made based on consideration, or lack thereof,…

Plasma Physics · Physics 2017-03-23 A. A. Mihajlov , Lj. M. Ignjatovic , V. A. Sreckovic

The partition function, $U$, the number of available states in an atom or molecules, is crucial for understanding the physical state of any astrophysical system in thermodynamic equilibrium. There are surprisingly few {\em useful}…

Instrumentation and Methods for Astrophysics · Physics 2022-07-26 P. Alimohamadi , G. J. Ferland

A one parameter expression for the single ionization cross-section of atoms by electron impact is presented. Using this expression, the agreement obtained with available experimental data for 45 elements (from ionization threshold up to 200…

Atomic Physics · Physics 2007-05-23 B. Tsipinyuk , A. Bekkerman , E. Kolodney

The solvated electron represents an elementary quantum system in a liquid environment. Electrons solvated in water have raised strong interest because of their prototypical properties, their role in radiation chemistry, and their relevance…

Chemical Physics · Physics 2022-04-15 Michael Woerner , Benjamin P. Fingerhut , Thomas Elsaesser

In a recent paper (Krishan 2021), a two-fluid description of a partially ionized plasma was presented in which electron fluid and the neutral fluid were combined appropriately into one fluid, christened as ENe fluid, and treat the ions as…

Plasma Physics · Physics 2021-02-12 V. Krishan

We consider the steady states of a gas between two parallel plates that is ionized by a strong electric field so as to create a plasma. There can be a cascade of electrons due both to the electrons colliding with the gas molecules and to…

Analysis of PDEs · Mathematics 2020-03-25 Walter A. Strauss , Masahiro Suzuki

The motion of an electron in an image field and a blocking electric field is considered in semiclassical approximation. An exact analytical expression is found for the density of the energy spectrum of states. The dependence of spectral…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 P. A. Golovinski , M. A. Preobrazhenskii , I. S. Surovtzev

The electron density of a molecule or material has recently received major attention as a target quantity of machine-learning models. A natural choice to construct a model that yields transferable and linear-scaling predictions is to…

Chemical Physics · Physics 2022-06-29 Andrea Grisafi , Alan M. Lewis , Mariana Rossi , Michele Ceriotti

In this work we present a new method of approximating the continuum wavefunctions with a discrete basis set. This method aims to be at least compatible with other well known methods of the electronic structure theory to describe processes…

Chemical Physics · Physics 2019-09-18 Mateusz S. Szczygieł , Michał Lesiuk , Robert Moszynski

The gauging of equations method, introduced in the preceding paper, is applied to the four-dimensional integral equations describing the strong interactions of three identical relativistic particles. In this way we obtain gauge invariant…

Nuclear Theory · Physics 2009-10-31 A. N. Kvinikhidze , B. Blankleider
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