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In this manuscript, we put forth a general scheme for defining initial value problems from Einstein's equations of General Relativity constrained by homogeneous and isotropic expansion. The cosmological models arising as solutions are…

General Relativity and Quantum Cosmology · Physics 2024-08-06 Leandro G. Gomes , Marcelo A. C. Nogueira , Lucas Ruiz dos Santos

The classical theory of electrodynamics cannot explain the existence and structure of electric and magnetic dipoles, yet it incorporates such dipoles into its fundamental equations, simply by postulating their existence and properties, just…

Optics · Physics 2015-03-10 Masud Mansuripur

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

We determine the energy-level shift experienced by a neutral atom due the quantum electromagnetic interaction with a layered dielectric body. We use the technique of normal-mode expansion to quantize the electromagnetic field in the…

Quantum Physics · Physics 2011-03-15 Claudia Eberlein , Robert Zietal

We obtain hydrodynamic descriptions of a broad class of conserved-mass transport processes on a ring. These processes are governed by chipping, diffusion and coalescence of masses, where microscopic probability weights in their…

Statistical Mechanics · Physics 2017-07-06 Arghya Das , Anupam Kundu , Punyabrata Pradhan

We give a derivation of the Einstein equation for gravity which employs a definition of the local energy density of the gravitational field as a symmetric second rank tensor whose value for each observer gives the trace of the spatial part…

Mathematical Physics · Physics 2008-03-13 Maurice J. Dupre

The Einstein equation is derived from the proportionality of entropy and horizon area together with the fundamental relation $\delta Q=TdS$ connecting heat, entropy, and temperature. The key idea is to demand that this relation hold for all…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Ted Jacobson

Upconversion of infrared photons is a promising possibility to enhance solar cell efficiency by producing electricity from otherwise unused sub-band-gap photons. We present a rate equation model, and the relevant processes, in order to…

Optics · Physics 2012-01-23 S. Fischer , H. Steinkemper , P. Löper , M. Hermle , J. C. Goldschmidt

The interaction of a fast electron with a photonic crystal is investigated by solving the Maxwell equations exactly for the external field provided by the electron in the presence of the crystal. The energy loss is obtained from the…

Materials Science · Physics 2009-11-07 F. J. Garcia de Abajo , L. A. Blanco

We study the dynamics of a charged tracer particle (TP) on a two-dimensional lattice all sites of which except one (a vacancy) are filled with identical neutral, hard-core particles. The particles move randomly by exchanging their positions…

Statistical Mechanics · Physics 2009-11-07 O. Benichou , G. Oshanin

Collective orders and photo-induced phase transitions in quantum matter can evolve on timescales which are orders of magnitude slower than the femtosecond processes related to electronic motion in the solid. Quantum Boltzmann equations can…

Strongly Correlated Electrons · Physics 2021-08-11 Antonio Picano , Jiajun Li , Martin Eckstein

Motivated by questions of present interest in nuclear and condensed matter physics we consider the superposition of a diagonal matrix with independent random entries and a GUE. The relative strength of the two contributions is determined by…

Disordered Systems and Neural Networks · Physics 2009-10-30 Thomas Guhr , Axel Mueller-Groeling

We obtain new relations between Einstein-Yang-Mills (EYM) amplitudes involving N gauge bosons plus a single graviton and pure Yang-Mills amplitudes involving N gauge bosons plus one additional vector boson inserted in a way typical for a…

High Energy Physics - Theory · Physics 2016-11-23 Stephan Stieberger , Tomasz R. Taylor

A general covariant extension of Einstein's field equations is considered with a view to Numerical Relativity applications. The basic variables are taken to be the metric tensor and an additional four-vector. The extended field equations,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. Bona , T. Ledvinka , C. Palenzuela , M. Zacek

As shown by Overhauser and others, accurate pair densities for the uniform electron gas may be found by solving a two-electron scattering problem with an effective screened electron-electron repulsion. In this work we explore the extension…

Materials Science · Physics 2009-11-10 Paola Gori-Giorgi , Andreas Savin

When four-dimensional general relativity is embedded in an unconstrained man-ner in a fifth dimension, the physical quantities of spacetime can be interpreted as geometrical properties related to the extra dimension. It has become…

General Relativity and Quantum Cosmology · Physics 2010-06-18 Paul S. Wesson

The local-equilibrium approach to transport processes is related to the approach based on time-dependent correlation functions and their associated spectral functions characterizing the equilibrium fluctuations of particle, momentum and…

Statistical Mechanics · Physics 2023-08-16 Joel Mabillard , Pierre Gaspard

We present a unified variational treatment of the electric quadrupole (E2) matrix elements, Einstein coefficients, and line strengths for general open-shell diatomic molecules in the general purpose diatomic code \Duo. Transformation…

Atomic and Molecular Clusters · Physics 2021-11-11 Wilfrid Somogyi , Sergey N. Yurchenko , Andrey Yachmenev

A broad class of generalized Einstein's gravity can be cast into Einstein's gravity with a minimally coupled scalar field using suitable conformal rescaling of the metric. Using this conformal equivalence between the theories, we derive the…

General Relativity and Quantum Cosmology · Physics 2011-09-30 J. Hwang

Measurements and a theoretical interpretation of the excitation spectrum of a two-electron quantum dot fabricated on a parabolic Ga[Al]As quantum well are reported. Experimentally, excited states are found beyond the well-known lowest…

Mesoscale and Nanoscale Physics · Physics 2021-12-30 T. Ihn , C. Ellenberger , K. Ensslin , Constantine Yannouleas , Uzi Landman , D. C. Driscoll , A. C. Gossard