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In high-energy physics, quantum statistical correlation measurements are very important for getting a good picture of how a particle-emitting source is structured in space and time, as well as its thermodynamic properties and inner…

High Energy Physics - Theory · Physics 2025-04-01 Hemida H. Mohammed , Mate Csanad , Y. Mohammed , N. Rashed , Daniel Kincses , M. A. Mahmoud

It is shown that the account for the proton charge form factor in the Coulomb corrections to the electron-proton scattering cross section noticeably diminishes the difference between the value of the proton charge radius $r_{\mathrm{E}}$,…

High Energy Physics - Phenomenology · Physics 2014-02-14 R. N. Lee , A. I. Milstein

On the one hand the Fermi-Dirac and Bose-Einstein functions have been extended in such a way that they are closely related to the Riemann and other zeta functions. On the other hand the Fourier transform representation of the gamma and…

Mathematical Physics · Physics 2011-04-25 Asifa Tassaddiq , Asghar Qadir

In this study, we investigate the transition temperature of a two-component Bose-Einstein condensates by means of Cornwall-Jackiw-Tomboulis effective action formalism within the framework of the improved Hartree-Fock approximation.…

Quantum Gases · Physics 2025-04-22 Nguyen Van Thu

In this work, we present expressions for the full effective potential corresponding to the one-photon exchange interaction within the framework of an effective Schr\"{o}dinger-like equation, which is derived exactly from the Bethe-Salpeter…

Nuclear Theory · Physics 2025-03-18 Zi-Wen Zhang , Hai-Qing Zhou

An accurate non-gradient-expansion based correction to Thomas--Fermi is developed using solvable model. The used model is a system of $N$ non-interacting electrons moving independently in the Coulomb field of the nuclear charge. The…

Quantum Physics · Physics 2015-06-04 Alexey Sergeev , Raka Jovanovic , Sabre Kais , Fahhad H Alharbi

In order to assess the accuracy of commonly used approximate exchange-correlation density functionals, we present a comparison of accurate exchange and correlation potentials, exchange energy densities and energy components with the…

Condensed Matter · Physics 2007-05-23 Claudia Filippi , Xavier Gonze , C. J. Umrigar

We study the influence of the Coulomb force on the Fermi beta-decays in nuclei. This work is composed of two main parts. In the first part, we calculate the Coulomb corrections to super-allowed beta decay. We use the notion of the isovector…

Nuclear Theory · Physics 2022-11-23 Naftali Auerbach , Minh-Loc Bui

We propose approximations which go beyond the local density approximation for the short-range exchange and correlation density functionals appearing in a multi-determinantal extension of the Kohn-Sham scheme. A first approximation consists…

Chemical Physics · Physics 2009-11-10 Julien Toulouse , Francois Colonna , Andreas Savin

Future e+e- colliders give the promise of model-independent determinations of the couplings of the Higgs boson. In this paper, we present an improved formalism for extracting Higgs boson couplings from e+e- data, based on the Effective…

High Energy Physics - Phenomenology · Physics 2018-03-28 Tim Barklow , Keisuke Fujii , Sunghoon Jung , Robert Karl , Jenny List , Tomohisa Ogawa , Michael E. Peskin , Junping Tian

We study the effect of the exchange interaction on the Coulomb blockade peak height statistics in chaotic quantum dots. Because exchange reduces the level repulsion in the many body spectrum, it strongly affects the fluctuations of the peak…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Gonzalo Usaj , Harold U. Baranger

We extend the Becke-Johnson approximation [J. Chem. Phys. 124, 221101 (2006)] of the exchange potential to two dimensions. We prove and demonstrate that a direct extension of the underlying formalism may lead to divergent behavior of the…

Strongly Correlated Electrons · Physics 2010-04-08 S. Pittalis , E. Rasanen , C. R. Proetto

Multiparticle symmetrization effects are contributions to the spectra of Bose-symmetrized states which are not the product of pairwise correlations. Usually they are neglected in particle interferometric calculations which aim at…

Nuclear Theory · Physics 2014-11-18 Urs Achim Wiedemann

An exchange-correlation energy functional $ E_{\mathrm xc} $ and the resultant exchange-correlation potential $ v_{\mathrm xc}({\bf r}) $ in density-functional theory are proposed using orbital-dependent coupling-constant-averaged pair…

Strongly Correlated Electrons · Physics 2007-05-23 Hiroshi Yasuhara , Masahiko Higuchi , Yoshiyuki Kawazoe

Inspired by the works of Rodnianski and Schlein and Wu, we derive a new nonlinear Schr\"odinger equation that describes a second-order correction to the usual tensor product (mean-field) approximation for the Hamiltonian evolution of a…

Mathematical Physics · Physics 2015-09-29 Manoussos G. Grillakis , Matei Machedon , Dionisios Margetis

In many physically realistic models of quantum computation, Pauli exchange interactions cause a special type of two-qubit errors, called exchange errors, to occur as a first order effect of couplings within the computer. We discuss the…

Quantum Physics · Physics 2007-05-23 M. B. Ruskai

I review the prospects for measuring source characteristics from correlations other than those involving identical pions. Correlations generated from Coulomb and strong interactions are shown to provide remarkable resolving power for…

Nuclear Theory · Physics 2011-08-04 Scott Pratt

An approach to the extraction of the two-photon exchange (TPE) correction from elastic $ep$ scattering data is presented. The cross section, polarization transfer (PT), and charge asymmetry data are considered. It is assumed that the TPE…

High Energy Physics - Phenomenology · Physics 2015-05-28 Krzysztof M. Graczyk

The analysis of correlation energy of the simplest first approximation of a variational method for the intrashell states of two-electron atoms is the purpose of the present work. This method allows to divide energy of atom on Coulomb and…

Atomic Physics · Physics 2008-10-23 V. V. Kavera

The quantum contributions to the gravitational action are relatively easy to calculate in the higher derivative sector of the theory. However, the applications to the post-inflationary cosmology and astrophysics require the corrections to…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Julio C. Fabris , Paulo L. C. de Oliveira , Davi C. Rodrigues , Ilya L. Shapiro , A. M. Velasquez-Toribio